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Inquiry

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164-466: An inquiry (also spelled as enquiry in British English ) is any process that has the aim of augmenting knowledge , resolving doubt , or solving a problem . A theory of inquiry is an account of the various types of inquiry and a treatment of the ways that each type of inquiry achieves its aim. When three terms are so related to one another that the last is wholly contained in the middle and

328-576: A West Germanic language that originated from the Anglo-Frisian dialects brought to Britain by Germanic settlers from various parts of what is now northwest Germany and the northern Netherlands. The resident population at this time was generally speaking Common Brittonic —the insular variety of Continental Celtic , which was influenced by the Roman occupation. This group of languages ( Welsh , Cornish , Cumbric ) cohabited alongside English into

492-414: A practical skill . Knowledge of facts, also called propositional knowledge, is often characterized as true belief that is distinct from opinion or guesswork by virtue of justification . While there is wide agreement among philosophers that propositional knowledge is a form of true belief, many controversies focus on justification. This includes questions like how to understand justification, whether it

656-407: A belief if this belief is to amount to knowledge. When the belief is challenged, the person may justify it by referring to their reason for holding it. In many cases, this reason depends itself on another belief that may as well be challenged. An example is a person who believes that Ford cars are cheaper than BMWs. When their belief is challenged, they may justify it by claiming that they heard it from

820-474: A belief is involved. The main controversy surrounding this definition concerns its third feature: justification. This component is often included because of the impression that some true beliefs are not forms of knowledge, such as beliefs based on superstition , lucky guesses, or erroneous reasoning . For example, a person who guesses that a coin flip will land heads usually does not know that even if their belief turns out to be true. This indicates that there

984-461: A broad social phenomenon that is similar to culture. The term may further denote knowledge stored in documents like the "knowledge housed in the library" or the knowledge base of an expert system . Knowledge is closely related to intelligence , but intelligence is more about the ability to acquire, process, and apply information, while knowledge concerns information and skills that a person already possesses. The word knowledge has its roots in

1148-559: A century as Received Pronunciation (RP). However, due to language evolution and changing social trends, some linguists argue that RP is losing prestige or has been replaced by another accent, one that the linguist Geoff Lindsey for instance calls Standard Southern British English. Others suggest that more regionally-oriented standard accents are emerging in England. Even in Scotland and Northern Ireland, RP exerts little influence in

1312-405: A complex web of interconnected ideas that is justified by its coherence rather than by a few privileged foundational beliefs. One difficulty for this view is how to demonstrate that it does not involve the fallacy of circular reasoning . If two beliefs mutually support each other then a person has a reason for accepting one belief if they already have the other. However, mutual support alone is not

1476-573: A controlled experiment to compare whether predictions based on the hypothesis match the observed results. As a last step, the results are interpreted and a conclusion is reached whether and to what degree the findings confirm or disconfirm the hypothesis. The empirical sciences are usually divided into natural and social sciences . The natural sciences, like physics , biology , and chemistry , focus on quantitative research methods to arrive at knowledge about natural phenomena. Quantitative research happens by making precise numerical measurements and

1640-488: A cup of coffee made by a reliable coffee machine has the same value as an equally good cup of coffee made by an unreliable coffee machine. This difficulty in solving the value problem is sometimes used as an argument against reliabilism. Virtue epistemology, by contrast, offers a unique solution to the value problem. Virtue epistemologists see knowledge as the manifestation of cognitive virtues. They hold that knowledge has additional value due to its association with virtue. This

1804-405: A cyclic fashion, systematically operating to reduce the uncertainties and the difficulties that initiated the inquiry in question, and in this way, to the extent that inquiry is successful, leading to an increase in knowledge or in skills. In the pragmatic way of thinking everything has a purpose, and the purpose of each thing is the first thing we should try to note about it. The purpose of inquiry

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1968-403: A figurative sense, this means that only deductive logic can be reduced to an exact theoretical science, while the practice of any empirical science will always remain to some degree an art. C. S. Peirce argued that inquiry reaches a logical limit, or "approximate[s] indefinitely toward that limit", which he regarded as "truth". Jewish rabbinical writers used the text of Deuteronomy 4:32 in

2132-519: A form of inevitable ignorance that can affect both what is knowable about the external world as well as what one can know about oneself and about what is good. Some limits of knowledge only apply to particular people in specific situations while others pertain to humanity at large. A fact is unknowable to a person if this person lacks access to the relevant information, like facts in the past that did not leave any significant traces. For example, it may be unknowable to people today what Caesar 's breakfast

2296-477: A good reason for newly accepting both beliefs at once. A closely related issue is that there can be distinct sets of coherent beliefs. Coherentists face the problem of explaining why someone should accept one coherent set rather than another. For infinitists, in contrast to foundationalists and coherentists, there is an infinite number of reasons. This view embraces the idea that there is a regress since each reason depends on another reason. One difficulty for this view

2460-508: A greater movement, normally [əʊ], [əʉ] or [əɨ]. Dropping a morphological grammatical number , in collective nouns , is stronger in British English than North American English. This is to treat them as plural when once grammatically singular, a perceived natural number prevails, especially when applying to institutional nouns and groups of people. The noun 'police', for example, undergoes this treatment: Police are investigating

2624-522: A kind that deduction can explicate and that induction can evaluate. This places a mild but meaningful constraint on the production of hypotheses, since it is not just any wild guess at explanation that submits itself to reason and bows out when defeated in a match with reality. In a similar fashion, each of the other types of inference realizes its purpose only in accord with its proper role in the whole cycle of inquiry. No matter how much it may be necessary to study these processes in abstraction from each other,

2788-412: A knowledge base, as far as their effective content goes, can be obtained by any mode of inference. For example, a rule like: is usually induced from a consideration of many past events, in a manner that can be rationally reconstructed as follows: However, the very same proposition could also be abduced as an explanation of a singular occurrence or deduced as a conclusion of a presumptive theory. What

2952-406: A lesser class or social status and often discounted or considered of a low intelligence. Another contribution to the standardisation of British English was the introduction of the printing press to England in the mid-15th century. In doing so, William Caxton enabled a common language and spelling to be dispersed among the entirety of England at a much faster rate. Samuel Johnson's A Dictionary of

3116-430: A letter, a newspaper, or a blog . The problem of testimony consists in clarifying why and under what circumstances testimony can lead to knowledge. A common response is that it depends on the reliability of the person pronouncing the testimony: only testimony from reliable sources can lead to knowledge. The problem of the limits of knowledge concerns the question of which facts are unknowable . These limits constitute

3280-566: A more explicit structure and is not articulated in terms of universal ideas. The term is often used in feminism and postmodernism to argue that many forms of knowledge are not absolute but depend on the concrete historical, cultural, and linguistic context. Explicit knowledge is knowledge that can be fully articulated, shared, and explained, like the knowledge of historical dates and mathematical formulas. It can be acquired through traditional learning methods, such as reading books and attending lectures. It contrasts with tacit knowledge , which

3444-469: A negative sense: many see it as a serious challenge to any epistemological theory and often try to show how their preferred theory overcomes it. Another form of philosophical skepticism advocates the suspension of judgment as a form of attaining tranquility while remaining humble and open-minded . A less radical limit of knowledge is identified by fallibilists , who argue that the possibility of error can never be fully excluded. This means that even

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3608-489: A negative value. For example, if a person's life depends on gathering the courage to jump over a ravine, then having a true belief about the involved dangers may hinder them from doing so. Besides having instrumental value, knowledge may also have intrinsic value . This means that some forms of knowledge are good in themselves even if they do not provide any practical benefits. According to philosopher Duncan Pritchard , this applies to forms of knowledge linked to wisdom . It

3772-519: A pain or to confuse the experience of a slight ellipse for the experience of a circle. Perceptual and introspective knowledge often act as a form of fundamental or basic knowledge. According to some empiricists , they are the only sources of basic knowledge and provide the foundation for all other knowledge. Memory differs from perception and introspection in that it is not as independent or basic as they are since it depends on other previous experiences. The faculty of memory retains knowledge acquired in

3936-520: A person knows that cats have whiskers then this knowledge is dispositional most of the time and becomes occurrent while they are thinking about it. Many forms of Eastern spirituality and religion distinguish between higher and lower knowledge. They are also referred to as para vidya and apara vidya in Hinduism or the two truths doctrine in Buddhism . Lower knowledge is based on the senses and

4100-556: A practically useful characterization. Another approach, termed analysis of knowledge , tries to provide a theoretically precise definition by listing the conditions that are individually necessary and jointly sufficient , similar to how chemists analyze a sample by seeking a list of all the chemical elements composing it. According to a different view, knowledge is a unique state that cannot be analyzed in terms of other phenomena. Some scholars base their definition on abstract intuitions while others focus on concrete cases or rely on how

4264-472: A practice that aims to produce habits of action. There is still very little consensus in the academic discourse as to which of the proposed modifications or reconceptualizations is correct, and there are various alternative definitions of knowledge . A common distinction among types of knowledge is between propositional knowledge, or knowledge-that, and non-propositional knowledge in the form of practical skills or acquaintance. Other distinctions focus on how

4428-468: A priori knowledge exists as innate knowledge present in the mind of each human. A further approach posits a special mental faculty responsible for this type of knowledge, often referred to as rational intuition or rational insight. Various other types of knowledge are discussed in the academic literature. In philosophy, "self-knowledge" refers to a person's knowledge of their own sensations , thoughts , beliefs, and other mental states. A common view

4592-659: A process called T-glottalisation . National media, being based in London, have seen the glottal stop spreading more widely than it once was in word endings, not being heard as "no [ʔ] " and bottle of water being heard as "bo [ʔ] le of wa [ʔ] er". It is still stigmatised when used at the beginning and central positions, such as later , while often has all but regained /t/ . Other consonants subject to this usage in Cockney English are p , as in pa [ʔ] er and k as in ba [ʔ] er. In most areas of England and Wales, outside

4756-442: A proposition, one has to be acquainted with its constituents. The distinction between a priori and a posteriori knowledge depends on the role of experience in the processes of formation and justification. To know something a posteriori means to know it based on experience. For example, by seeing that it rains outside or hearing that the baby is crying, one acquires a posteriori knowledge of these facts. A priori knowledge

4920-480: A purpose in view. A parallel distinction that is often made in this connection is to call deduction a demonstrative form of inference, while abduction and induction are classed as non-demonstrative forms of reasoning. Strictly speaking, the latter two modes of reasoning are not properly called inferences at all. They are more like controlled associations of words or ideas that just happen to be successful often enough to be preserved as useful heuristic strategies in

5084-520: A regional accent or dialect. However, about 2% of Britons speak with an accent called Received Pronunciation (also called "the King's English", "Oxford English" and " BBC English" ), that is essentially region-less. It derives from a mixture of the Midlands and Southern dialects spoken in London in the early modern period. It is frequently used as a model for teaching English to foreign learners. In

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5248-536: A reliable source. This justification depends on the assumption that their source is reliable, which may itself be challenged. The same may apply to any subsequent reason they cite. This threatens to lead to an infinite regress since the epistemic status at each step depends on the epistemic status of the previous step. Theories of the structure of knowledge offer responses for how to solve this problem. Three traditional theories are foundationalism , coherentism , and infinitism . Foundationalists and coherentists deny

5412-401: A role in inquiry, commonly known as abductive , deductive , and inductive inference . In rough terms, abduction is what we use to generate a likely hypothesis or an initial diagnosis in response to a phenomenon of interest or a problem of concern, while deduction is used to clarify, to derive, and to explicate the relevant consequences of the selected hypothesis, and induction

5576-414: A slightly different sense, self-knowledge can also refer to knowledge of the self as a persisting entity with certain personality traits , preferences , physical attributes, relationships, goals, and social identities . Metaknowledge is knowledge about knowledge. It can arise in the form of self-knowledge but includes other types as well, such as knowing what someone else knows or what information

5740-405: A specific domain and is only possessed by experts. Situated knowledge is knowledge specific to a particular situation. It is closely related to practical or tacit knowledge, which is learned and applied in specific circumstances. This especially concerns certain forms of acquiring knowledge, such as trial and error or learning from experience. In this regard, situated knowledge usually lacks

5904-427: A sufficient degree of coherence among all the mental states of the believer is necessary for knowledge. According to infinitism, an infinite chain of beliefs is needed. The main discipline investigating knowledge is epistemology , which studies what people know, how they come to know it, and what it means to know something. It discusses the value of knowledge and the thesis of philosophical skepticism , which questions

6068-412: A surprising Fact: Responding to an intellectual reflex of puzzlement about the situation, his resource of common knowledge about the world is impelled to seize on an approximate Rule: This Rule can be recognized as having a potential relevance to the situation because it matches the surprising Fact, C → A, in its consequential feature A. All of this suggests that the present Case may be one in which it

6232-687: A system of thinking and incorporated the social nature of inquiry. These ideas are summarize in the notion Community of inquiry . For our present purposes, the first feature to note in distinguishing the three principal modes of reasoning from each other is whether each of them is exact or approximate in character. In this light, deduction is the only one of the three types of reasoning that can be made exact, in essence, always deriving true conclusions from true premises, while abduction and induction are unavoidably approximate in their modes of operation, involving elements of fallible judgment in practice and inescapable error in their application. The reason for this

6396-423: A that-clause. Propositional knowledge takes the form of mental representations involving concepts, ideas, theories, and general rules. These representations connect the knower to certain parts of reality by showing what they are like. They are often context-independent, meaning that they are not restricted to a specific use or purpose. Propositional knowledge encompasses both knowledge of specific facts, like that

6560-473: A totality, and present experience, considered as a point of application. What we mean in practice is this: "If past experience is a fair sample of possible experience, then the knowledge gained in it applies to present experience". This is the mechanism that allows a knowledge base to be carried across gulfs of experience that are indifferent to the effective contents of its rules. British English British English (abbreviations: BrE , en-GB , and BE )

6724-472: A type of event that is not immediately observable to all concerned. Obviously, the distinction is a rough one and the question of which mode applies can depend on the points of view that different observers adopt over time. Finally, a statement of a Rule is called that because it states a regularity or a regulation that governs a whole class of situations, and not because of its syntactic form. So far in this discussion, all three types of constraint are expressed in

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6888-461: Is a widely accepted feature of knowledge. It implies that, while it may be possible to believe something false, one cannot know something false. That knowledge is a form of belief implies that one cannot know something if one does not believe it. Some everyday expressions seem to violate this principle, like the claim that "I do not believe it, I know it!" But the point of such expressions is usually to emphasize one's confidence rather than denying that

7052-434: Is able to pass that exam or by knowing which horse is the fastest, one can earn money from bets. In these cases, knowledge has instrumental value . Not all forms of knowledge are useful and many beliefs about trivial matters have no instrumental value. This concerns, for example, knowing how many grains of sand are on a specific beach or memorizing phone numbers one never intends to call. In a few cases, knowledge may even have

7216-411: Is already true. The problem of the value of knowledge is often discussed in relation to reliabilism and virtue epistemology . Reliabilism can be defined as the thesis that knowledge is reliably formed true belief. This view has difficulties in explaining why knowledge is valuable or how a reliable belief-forming process adds additional value. According to an analogy by philosopher Linda Zagzebski ,

7380-725: Is also due to London-centric influences. Examples of R-dropping are car and sugar , where the R is not pronounced. British dialects differ on the extent of diphthongisation of long vowels, with southern varieties extensively turning them into diphthongs, and with northern dialects normally preserving many of them. As a comparison, North American varieties could be said to be in-between. Long vowels /iː/ and /uː/ are usually preserved, and in several areas also /oː/ and /eː/, as in go and say (unlike other varieties of English, that change them to [oʊ] and [eɪ] respectively). Some areas go as far as not diphthongising medieval /iː/ and /uː/, that give rise to modern /aɪ/ and /aʊ/; that is, for example, in

7544-420: Is also referred to as knowledge-that , as in "Akari knows that kangaroos hop". In this case, Akari stands in the relation of knowing to the proposition "kangaroos hop". Closely related types of knowledge are know-wh , for example, knowing who is coming to dinner and knowing why they are coming. These expressions are normally understood as types of propositional knowledge since they can be paraphrased using

7708-564: Is an active process in which sensory signals are selected, organized, and interpreted to form a representation of the environment. This leads in some cases to illusions that misrepresent certain aspects of reality, like the Müller-Lyer illusion and the Ponzo illusion . Introspection is often seen in analogy to perception as a source of knowledge, not of external physical objects, but of internal mental states . A traditionally common view

7872-552: Is applied to draw inferences from other known facts. For example, the perceptual knowledge of a Czech stamp on a postcard may give rise to the inferential knowledge that one's friend is visiting the Czech Republic. This type of knowledge depends on other sources of knowledge responsible for the premises. Some rationalists argue for rational intuition as a further source of knowledge that does not rely on observation and introspection. They hold for example that some beliefs, like

8036-528: Is argued that there is no perceptual knowledge of the external world. This thought experiment is based on the problem of underdetermination , which arises when the available evidence is not sufficient to make a rational decision between competing theories. In such cases, a person is not justified in believing one theory rather than the other. If this is always the case then global skepticism follows. Another skeptical argument assumes that knowledge requires absolute certainty and aims to show that all human cognition

8200-512: Is at home". Other types of knowledge include knowledge-how in the form of practical competence , as in "she knows how to swim", and knowledge by acquaintance as a familiarity with the known object based on previous direct experience, like knowing someone personally. Knowledge is often understood as a state of an individual person, but it can also refer to a characteristic of a group of people as group knowledge, social knowledge, or collective knowledge. Some social sciences understand knowledge as

8364-414: Is based on British English, but has more influence from American English , often grouped together due to their close proximity. British English, for example, is the closest English to Indian English, but Indian English has extra vocabulary and some English words are assigned different meanings. Knowledge Knowledge is an awareness of facts , a familiarity with individuals and situations , or

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8528-401: Is based on the idea that cognitive success in the form of the manifestation of virtues is inherently valuable independent of whether the resulting states are instrumentally useful. Acquiring and transmitting knowledge often comes with certain costs, such as the material resources required to obtain new information and the time and energy needed to understand it. For this reason, an awareness of

8692-427: Is called epistemology or the theory of knowledge. It examines the nature of knowledge and justification, how knowledge arises, and what value it has. Further topics include the different types of knowledge and the limits of what can be known. Despite agreements about the general characteristics of knowledge, its exact definition is disputed. Some definitions only focus on the most salient features of knowledge to give

8856-412: Is circular and requires interpretation, which implies that knowledge does not need a secure foundation. Coherentists and infinitists avoid these problems by denying the contrast between basic and non-basic reasons. Coherentists argue that there is only a finite number of reasons, which mutually support and justify one another. This is based on the intuition that beliefs do not exist in isolation but form

9020-608: Is contained in a scientific article. Other aspects of metaknowledge include knowing how knowledge can be acquired, stored, distributed, and used. Common knowledge is knowledge that is publicly known and shared by most individuals within a community. It establishes a common ground for communication, understanding, social cohesion, and cooperation. General knowledge encompasses common knowledge but also includes knowledge that many people have been exposed to but may not be able to immediately recall. Common knowledge contrasts with domain knowledge or specialized knowledge, which belongs to

9184-460: Is controversial whether all knowledge has intrinsic value, including knowledge about trivial facts like knowing whether the biggest apple tree had an even number of leaves yesterday morning. One view in favor of the intrinsic value of knowledge states that having no belief about a matter is a neutral state and knowledge is always better than this neutral state, even if the value difference is only minimal. A more specific issue in epistemology concerns

9348-453: Is fallible since it fails to meet this standard. An influential argument against radical skepticism states that radical skepticism is self-contradictory since denying the existence of knowledge is itself a knowledge-claim. Other arguments rely on common sense or deny that infallibility is required for knowledge. Very few philosophers have explicitly defended radical skepticism but this position has been influential nonetheless, usually in

9512-532: Is found in Aristotle 's Prior Analytics , Book 2, Chapt. 25. It begins this way: We have Reduction (απαγωγη, abduction ): For in all such cases the effect is to bring us nearer to knowledge. By way of explanation, Aristotle supplies two very instructive examples, one for each of the two varieties of abductive inference steps that he has just described in the abstract: Aristotle's latter variety of abductive reasoning, though it will take some explaining in

9676-409: Is impossible, meaning that one cannot know what is morally good or whether a certain behavior is morally right. An influential theory about the limits of metaphysical knowledge was proposed by Immanuel Kant . For him, knowledge is restricted to the field of appearances and does not reach the things in themselves , which exist independently of humans and lie beyond the realm of appearances. Based on

9840-795: Is included in style guides issued by various publishers including The Times newspaper, the Oxford University Press and the Cambridge University Press . The Oxford University Press guidelines were originally drafted as a single broadsheet page by Horace Henry Hart, and were at the time (1893) the first guide of their type in English; they were gradually expanded and eventually published, first as Hart's Rules , and in 2002 as part of The Oxford Manual of Style . Comparable in authority and stature to The Chicago Manual of Style for published American English ,

10004-403: Is it that gives a distinctively inductive character to the acquisition of a knowledge base? It is evidently the "analogy of experience" that underlies its useful application. Whenever we find ourselves prefacing an argument with the phrase "If past experience is any guide..." then we can be sure that this principle has come into play. We are invoking an analogy between past experience, considered as

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10168-411: Is just about to rain: The whole mental performance, however automatic and semi-conscious it may be, that leads up from a problematic Fact and a previously settled knowledge base of Rules to the plausible suggestion of a Case description, is what we are calling an abductive inference . The next phase of inquiry uses deductive inference to expand the implied consequences of the abductive hypothesis, with

10332-415: Is knowledge acquired because of specific social and cultural circumstances, such as knowing how to read and write. Knowledge can be occurrent or dispositional . Occurrent knowledge is knowledge that is actively involved in cognitive processes. Dispositional knowledge, by contrast, lies dormant in the back of a person's mind and is given by the mere ability to access the relevant information. For example, if

10496-553: Is more to knowledge than just being right about something. These cases are excluded by requiring that beliefs have justification for them to count as knowledge. Some philosophers hold that a belief is justified if it is based on evidence , which can take the form of mental states like experience, memory , and other beliefs. Others state that beliefs are justified if they are produced by reliable processes, like sensory perception or logical reasoning. The definition of knowledge as justified true belief came under severe criticism in

10660-795: Is needed at all, and whether something else besides it is needed. These controversies intensified in the latter half of the 20th century due to a series of thought experiments called Gettier cases that provoked alternative definitions. Knowledge can be produced in many ways. The main source of empirical knowledge is perception , which involves the usage of the senses to learn about the external world. Introspection allows people to learn about their internal mental states and processes. Other sources of knowledge include memory , rational intuition , inference , and testimony . According to foundationalism , some of these sources are basic in that they can justify beliefs, without depending on other mental states. Coherentists reject this claim and contend that

10824-472: Is not aware of this, stops in front of the real barn by a lucky coincidence, and forms the justified true belief that they are in front of a barn. This example aims to establish that the person does not know that they are in front of a real barn, since they would not have been able to tell the difference. This means that it is a lucky coincidence that this justified belief is also true. According to some philosophers, these counterexamples show that justification

10988-552: Is not easily articulated or explained to others, like the ability to recognize someone's face and the practical expertise of a master craftsman. Tacit knowledge is often learned through first-hand experience or direct practice. Cognitive load theory distinguishes between biologically primary and secondary knowledge. Biologically primary knowledge is knowledge that humans have as part of their evolutionary heritage, such as knowing how to recognize faces and speech and many general problem-solving capacities. Biologically secondary knowledge

11152-415: Is not possible to know them because if a person knew about such an idea then this idea would have occurred at least to them. There are many disputes about what can or cannot be known in certain fields. Religious skepticism is the view that beliefs about God or other religious doctrines do not amount to knowledge. Moral skepticism encompasses a variety of views, including the claim that moral knowledge

11316-453: Is not required for knowledge and that knowledge should instead be characterized in terms of reliability or the manifestation of cognitive virtues . Another approach defines knowledge in regard to the function it plays in cognitive processes as that which provides reasons for thinking or doing something. A different response accepts justification as an aspect of knowledge and include additional criteria. Many candidates have been suggested, like

11480-532: Is one direction of activity; looking and noting are other modes of activity. The likelihood that it will rain is, however, something suggested . The pedestrian feels the cold; he thinks of clouds and a coming shower. (John Dewey, How We Think , 1910, pp. 6-7). Let's first give Dewey's example of inquiry in everyday life the quick once over, hitting just the high points of its analysis into Peirce's three kinds of reasoning. In Dewey's "Rainy Day" or "Sign of Rain" story, we find our peripatetic hero presented with

11644-404: Is possible without any experience to justify or support the known proposition. Mathematical knowledge, such as that 2 + 2 = 4, is traditionally taken to be a priori knowledge since no empirical investigation is necessary to confirm this fact. In this regard, a posteriori knowledge is empirical knowledge while a priori knowledge is non-empirical knowledge. The relevant experience in question

11808-446: Is primarily identified with sensory experience . Some non-sensory experiences, like memory and introspection, are often included as well. Some conscious phenomena are excluded from the relevant experience, like rational insight. For example, conscious thought processes may be required to arrive at a priori knowledge regarding the solution of mathematical problems, like when performing mental arithmetic to multiply two numbers. The same

11972-414: Is public, reliable, and replicable. This way, other researchers can repeat the experiments and observations in the initial study to confirm or disconfirm it. The scientific method is often analyzed as a series of steps that begins with regular observation and data collection. Based on these insights, scientists then try to find a hypothesis that explains the observations. The hypothesis is then tested using

12136-511: Is that deduction, in the ideal limit, can be rendered a purely internal process of the reasoning agent, while the other two modes of reasoning essentially demand a constant interaction with the outside world, a source of phenomena and problems that will no doubt continue to exceed the capacities of any finite resource, human or machine, to master. Situated in this larger reality, approximations can be judged appropriate only in relation to their context of use and can be judged fitting only with regard to

12300-404: Is that inquiry should not aim for truth or absolute certainty but for well-supported and justified beliefs while remaining open to the possibility that one's beliefs may need to be revised later. The structure of knowledge is the way in which the mental states of a person need to be related to each other for knowledge to arise. A common view is that a person has to have good reasons for holding

12464-413: Is that introspection has a special epistemic status by being infallible. According to this position, it is not possible to be mistaken about introspective facts, like whether one is in pain, because there is no difference between appearance and reality. However, this claim has been contested in the contemporary discourse and critics argue that it may be possible, for example, to mistake an unpleasant itch for

12628-472: Is that self-knowledge is more direct than knowledge of the external world, which relies on the interpretation of sense data. Because of this, it is traditionally claimed that self-knowledge is indubitable, like the claim that a person cannot be wrong about whether they are in pain. However, this position is not universally accepted in the contemporary discourse and an alternative view states that self-knowledge also depends on interpretations that could be false. In

12792-414: Is that the human mind is limited and may not be able to possess an infinite number of reasons. This raises the question of whether, according to infinitism, human knowledge is possible at all. Knowledge may be valuable either because it is useful or because it is good in itself. Knowledge can be useful by helping a person achieve their goals. For example, if one knows the answers to questions in an exam one

12956-442: Is the case for the experience needed to learn the words through which the claim is expressed. For example, knowing that "all bachelors are unmarried" is a priori knowledge because no sensory experience is necessary to confirm this fact even though experience was needed to learn the meanings of the words "bachelor" and "unmarried". It is difficult to explain how a priori knowledge is possible and some empiricists deny it exists. It

13120-628: Is the set of varieties of the English language native to the United Kingdom of Great Britain and Northern Ireland . More narrowly, it can refer specifically to the English language in England , or, more broadly, to the collective dialects of English throughout the British Isles taken as a single umbrella variety, for instance additionally incorporating Scottish English , Welsh English , and Northern Irish English . Tom McArthur in

13284-420: Is to reduce doubt and lead to a state of belief, which a person in that state will usually call knowledge or certainty . As they contribute to the end of inquiry, we should appreciate that the three kinds of inference describe a cycle that can be understood only as a whole, and none of the three makes complete sense in isolation from the others. For instance, the purpose of abduction is to generate guesses of

13448-433: Is true to the pattern of deductive inference . Whatever the case, our subject observes a Dark cloud, just as he would expect on the basis of the new hypothesis. The explanation of imminent rain removes the discrepancy between observations and expectations and thereby reduces the shock of surprise that made this process of inquiry necessary. Figure 4 gives a graphical illustration of Dewey's example of inquiry, isolating for

13612-401: Is used to test the sum of the predictions against the sum of the data. It needs to be observed that the classical and pragmatic treatments of the types of reasoning, dividing the generic territory of inference as they do into three special parts, arrive at a different characterization of the environs of reason than do those accounts that count only two. These three processes typically operate in

13776-402: Is usually seen as unproblematic that one can come to know things through experience, but it is not clear how knowledge is possible without experience. One of the earliest solutions to this problem comes from Plato , who argues that the soul already possesses the knowledge and just needs to recollect, or remember, it to access it again. A similar explanation is given by Descartes , who holds that

13940-547: The Chambers Dictionary , and the Collins Dictionary record actual usage rather than attempting to prescribe it. In addition, vocabulary and usage change with time; words are freely borrowed from other languages and other varieties of English, and neologisms are frequent. For historical reasons dating back to the rise of London in the ninth century, the form of language spoken in London and

14104-658: The East Midlands became standard English within the Court, and ultimately became the basis for generally accepted use in the law, government, literature and education in Britain. The standardisation of British English is thought to be from both dialect levelling and a thought of social superiority. Speaking in the Standard dialect created class distinctions; those who did not speak the standard English would be considered of

14268-477: The Hebrew Bible , or ask now concerning the days that are past, which were before you, since the day that God created man on the earth, and ask from one end of heaven to the other, whether any great thing like this has happened, or anything like it has been heard , to impose ethical limits on inquiry, forbidding inquiry into the work of creation in the presence of two people, reading the words "for ask now of

14432-644: The Oxford Guide to World English acknowledges that British English shares "all the ambiguities and tensions [with] the word 'British' and as a result can be used and interpreted in two ways, more broadly or more narrowly, within a range of blurring and ambiguity". Variations exist in formal (both written and spoken) English in the United Kingdom. For example, the adjective wee is almost exclusively used in parts of Scotland, north-east England, Northern Ireland, Ireland, and occasionally Yorkshire , whereas

14596-493: The Royal Spanish Academy with Spanish. Standard British English differs notably in certain vocabulary, grammar, and pronunciation features from standard American English and certain other standard English varieties around the world. British and American spelling also differ in minor ways. The accent, or pronunciation system, of standard British English, based in southeastern England, has been known for over

14760-490: The Scots language or Scottish Gaelic ). Each group includes a range of dialects, some markedly different from others. The various British dialects also differ in the words that they have borrowed from other languages. Around the middle of the 15th century, there were points where within the 5 major dialects there were almost 500 ways to spell the word though . Following its last major survey of English Dialects (1949–1950),

14924-573: The University of Leeds has started work on a new project. In May 2007 the Arts and Humanities Research Council awarded a grant to Leeds to study British regional dialects. The team are sifting through a large collection of examples of regional slang words and phrases turned up by the "Voices project" run by the BBC , in which they invited the public to send in examples of English still spoken throughout

15088-610: The West Country and other near-by counties of the UK, the consonant R is not pronounced if not followed by a vowel, lengthening the preceding vowel instead. This phenomenon is known as non-rhoticity . In these same areas, a tendency exists to insert an R between a word ending in a vowel and a next word beginning with a vowel. This is called the intrusive R . It could be understood as a merger, in that words that once ended in an R and words that did not are no longer treated differently. This

15252-438: The knowledge of one's own existence and the content of one's ideas. The view that basic reasons exist is not universally accepted. One criticism states that there should be a reason why some reasons are basic while others are not. According to this view, the putative basic reasons are not actually basic since their status would depend on other reasons. Another criticism is based on hermeneutics and argues that all understanding

15416-469: The senses , is identified as the most important source of empirical knowledge. Knowing that a baby is sleeping is observational knowledge if it was caused by a perception of the snoring baby. However, this would not be the case if one learned about this fact through a telephone conversation with one's spouse. Perception comes in different modalities, including vision , sound , touch , smell , and taste , which correspond to different physical stimuli . It

15580-565: The 12th-century Old English word cnawan , which comes from the Old High German word gecnawan . The English word includes various meanings that some other languages distinguish using several words. In ancient Greek, for example, four important terms for knowledge were used: epistēmē (unchanging theoretical knowledge), technē (expert technical knowledge), mētis (strategic knowledge), and gnōsis (personal intellectual knowledge). The main discipline studying knowledge

15744-463: The 20th century, when epistemologist Edmund Gettier formulated a series of counterexamples. They purport to present concrete cases of justified true beliefs that fail to constitute knowledge. The reason for their failure is usually a form of epistemic luck: the beliefs are justified but their justification is not relevant to the truth. In a well-known example, someone drives along a country road with many barn facades and only one real barn. The person

15908-629: The 21st century. RP, while long established as the standard English accent around the globe due to the spread of the British Empire , is distinct from the standard English pronunciation in some parts of the world; most prominently, RP notably contrasts with standard North American accents. In the 21st century, dictionaries like the Oxford English Dictionary , the Longman Dictionary of Contemporary English ,

16072-836: The English Language (1755) was a large step in the English-language spelling reform , where the purification of language focused on standardising both speech and spelling. By the early 20th century, British authors had produced numerous books intended as guides to English grammar and usage, a few of which achieved sufficient acclaim to have remained in print for long periods and to have been reissued in new editions after some decades. These include, most notably of all, Fowler's Modern English Usage and The Complete Plain Words by Sir Ernest Gowers . Detailed guidance on many aspects of writing British English for publication

16236-477: The First. (Aristotle, Prior Analytics , 1.4) Inductive reasoning consists in establishing a relation between one extreme term and the middle term by means of the other extreme; for example, if B is the middle term of A and C , in proving by means of C that A applies to B ; for this is how we effect inductions. (Aristotle, Prior Analytics , 2.23) The locus classicus for the study of abductive reasoning

16400-666: The Germanic schwein ) is the animal in the field bred by the occupied Anglo-Saxons and pork (like the French porc ) is the animal at the table eaten by the occupying Normans. Another example is the Anglo-Saxon cu meaning cow, and the French bœuf meaning beef. Cohabitation with the Scandinavians resulted in a significant grammatical simplification and lexical enrichment of the Anglo-Frisian core of English;

16564-466: The Legend beneath it summarize the classical terminology for the three types of inference and the relationships among them. In its original usage a statement of Fact has to do with a deed done or a record made, that is, a type of event that is openly observable and not riddled with speculation as to its very occurrence. In contrast, a statement of Case may refer to a hidden or a hypothetical cause, that is,

16728-922: The Oxford Manual is a fairly exhaustive standard for published British English that writers can turn to in the absence of specific guidance from their publishing house. British English is the basis of, and very similar to, Commonwealth English . Commonwealth English is English as spoken and written in the Commonwealth countries , though often with some local variation. This includes English spoken in Australia , Malta , New Zealand , Nigeria , and South Africa . It also includes South Asian English used in South Asia, in English varieties in Southeast Asia , and in parts of Africa. Canadian English

16892-712: The South East, there are significantly different accents; the Cockney accent spoken by some East Londoners is strikingly different from Received Pronunciation (RP). Cockney rhyming slang can be (and was initially intended to be) difficult for outsiders to understand, although the extent of its use is often somewhat exaggerated. Londoners speak with a mixture of accents, depending on ethnicity, neighbourhood, class, age, upbringing, and sundry other factors. Estuary English has been gaining prominence in recent decades: it has some features of RP and some of Cockney. Immigrants to

17056-550: The UK in recent decades have brought many more languages to the country and particularly to London. Surveys started in 1979 by the Inner London Education Authority discovered over 125 languages being spoken domestically by the families of the inner city's schoolchildren. Notably Multicultural London English , a sociolect that emerged in the late 20th century spoken mainly by young, working-class people in multicultural parts of London . Since

17220-576: The United Kingdom , as well as within the countries themselves. The major divisions are normally classified as English English (or English as spoken in England (which is itself broadly grouped into Southern English , West Country , East and West Midlands English and Northern English ), Northern Irish English (in Northern Ireland), Welsh English (not to be confused with the Welsh language ), and Scottish English (not to be confused with

17384-465: The West Scottish accent. Phonological features characteristic of British English revolve around the pronunciation of the letter R, as well as the dental plosive T and some diphthongs specific to this dialect. Once regarded as a Cockney feature, in a number of forms of spoken British English, /t/ has become commonly realised as a glottal stop [ʔ] when it is in the intervocalic position, in

17548-432: The abilities responsible for knowledge-how involve forms of knowledge-that, as in knowing how to prove a mathematical theorem, but this is not generally the case. Some types of knowledge-how do not require a highly developed mind, in contrast to propositional knowledge, and are more common in the animal kingdom. For example, an ant knows how to walk even though it presumably lacks a mind sufficiently developed to represent

17712-410: The adjective little is predominant elsewhere. Nevertheless, there is a meaningful degree of uniformity in written English within the United Kingdom, and this could be described by the term British English . The forms of spoken English, however, vary considerably more than in most other areas of the world where English is spoken and so a uniform concept of British English is more difficult to apply to

17876-454: The aim of testing its truth. For this purpose, the inquirer needs to think of other things that would follow from the consequence of his precipitate explanation. Thus, he now reflects on the Case just assumed: He looks up to scan the sky, perhaps in a random search for further information, but since the sky is a logical place to look for details of an imminent rainstorm, symbolized in our story by

18040-425: The atomic mass of gold is 196.97 u , and generalities, like that the color of leaves of some trees changes in autumn. Because of the dependence on mental representations, it is often held that the capacity for propositional knowledge is exclusive to relatively sophisticated creatures, such as humans. This is based on the claim that advanced intellectual capacities are needed to believe a proposition that expresses what

18204-488: The award of the grant in 2007, Leeds University stated: that they were "very pleased"—and indeed, "well chuffed"—at receiving their generous grant. He could, of course, have been "bostin" if he had come from the Black Country , or if he was a Scouser he would have been well "made up" over so many spondoolicks, because as a Geordie might say, £460,000 is a "canny load of chink". Most people in Britain speak with

18368-413: The behavior of genes , neutrinos , and black holes . A key aspect of most forms of science is that they seek natural laws that explain empirical observations. Scientific knowledge is discovered and tested using the scientific method . This method aims to arrive at reliable knowledge by formulating the problem in a clear way and by ensuring that the evidence used to support or refute a specific theory

18532-433: The best-researched scientific theories and the most fundamental common-sense views could still be subject to error. Further research may reduce the possibility of being wrong, but it can never fully exclude it. Some fallibilists reach the skeptical conclusion from this observation that there is no knowledge but the more common view is that knowledge exists but is fallible. Pragmatists argue that one consequence of fallibilism

18696-525: The corresponding proposition. Knowledge by acquaintance is familiarity with something that results from direct experiential contact. The object of knowledge can be a person, a thing, or a place. For example, by eating chocolate, one becomes acquainted with the taste of chocolate, and visiting Lake Taupō leads to the formation of knowledge by acquaintance of Lake Taupō. In these cases, the person forms non-inferential knowledge based on first-hand experience without necessarily acquiring factual information about

18860-622: The country. The BBC Voices project also collected hundreds of news articles about how the British speak English from swearing through to items on language schools. This information will also be collated and analysed by Johnson's team both for content and for where it was reported. "Perhaps the most remarkable finding in the Voices study is that the English language is as diverse as ever, despite our increased mobility and constant exposure to other accents and dialects through TV and radio". When discussing

19024-421: The course of history. Knowledge is a form of familiarity, awareness , understanding , or acquaintance. It often involves the possession of information learned through experience and can be understood as a cognitive success or an epistemic contact with reality, like making a discovery. Many academic definitions focus on propositional knowledge in the form of believing certain facts, as in "I know that Dave

19188-421: The days past" to indicate that one may inquire, but not two . The Rabbis reasoned that the words "since the day that God created man upon the earth" in this verse taught that one must not inquire concerning the time before creation, but that the words "the days past that were before you" meant that one may inquire about the six days of creation . They further reasoned that the words "from the one end of heaven to

19352-454: The examples of a given quality, while catalogy has to do with the qualities of a given example. Peirce noted similar forms of duality in many of his early writings, leading to the consummate treatment in his 1867 paper "On a New List of Categories" (CP 1.545-559, W 2, 49-59). In order to comprehend the bearing of inductive reasoning on the closing phases of inquiry there are a couple of observations that we need to make: Throughout inquiry

19516-406: The existence of an infinite regress, in contrast to infinitists. According to foundationalists, some basic reasons have their epistemic status independent of other reasons and thereby constitute the endpoint of the regress. Some foundationalists hold that certain sources of knowledge, like perception, provide basic reasons. Another view is that this role is played by certain self-evident truths, like

19680-413: The first two steps of inquiry exhibit a rough "V" shape, respectively. Since we find ourselves repeatedly referring to this expansion phase of inquiry as a unit, let's give it a name that suggests its duality with analogy —" catalogy " will do for the moment. This usage is apt enough if one thinks of a catalogue entry for an item as a text that lists its salient features. Notice that analogy has to do with

19844-425: The form of conditional propositions, but this is not a fixed requirement. In practice, these modes of statement are distinguished by the roles that they play within an argument, not by their style of expression. When the time comes to branch out from the syllogistic framework, we will find that propositional constraints can be discovered and represented in arbitrary syntactic forms. Examples of inquiry, that illustrate

20008-454: The full cycle of its abductive, deductive, and inductive phases, and yet are both concrete and simple enough to be suitable for a first (or zeroth) exposition, are somewhat rare in Peirce's writings, and so let us draw one from the work of fellow pragmatician John Dewey , analyzing it according to the model of zeroth-order inquiry that we developed above. A man is walking on a warm day. The sky

20172-458: The idea of two different morphemes, one that causes the double negation, and one that is used for the point or the verb. Standard English in the United Kingdom, as in other English-speaking nations, is widely enforced in schools and by social norms for formal contexts but not by any singular authority; for instance, there is no institution equivalent to the Académie française with French or

20336-460: The integrity of inquiry places strong limitations on the effective modularity of its principal components. In Logic: The Theory of Inquiry , John Dewey defined inquiry as "the controlled or directed transformation of an indeterminate situation into one that is so determinate in its constituent distinctions and relations as to convert the elements of the original situation into a unified whole". Dewey and Peirce's conception of inquiry extended beyond

20500-441: The intellect. It encompasses both mundane or conventional truths as well as discoveries of the empirical sciences. Higher knowledge is understood as knowledge of God, the absolute , the true self , or the ultimate reality . It belongs neither to the external world of physical objects nor to the internal world of the experience of emotions and concepts. Many spiritual teachings stress the importance of higher knowledge to progress on

20664-470: The knowledge is acquired and on the content of the known information. Propositional knowledge, also referred to as declarative and descriptive knowledge, is a form of theoretical knowledge about facts, like knowing that "2 + 2 = 4". It is the paradigmatic type of knowledge in analytic philosophy . Propositional knowledge is propositional in the sense that it involves a relation to a proposition. Since propositions are often expressed through that-clauses, it

20828-523: The last southern Midlands accent to use the broad "a" in words like bath or grass (i.e. barth or grarss ). Conversely crass or plastic use a slender "a". A few miles northwest in Leicestershire the slender "a" becomes more widespread generally. In the town of Corby , five miles (8 km) north, one can find Corbyite which, unlike the Kettering accent, is largely influenced by

20992-518: The later Norman occupation led to the grafting onto that Germanic core of a more elaborate layer of words from the Romance branch of the European languages. This Norman influence entered English largely through the courts and government. Thus, English developed into a "borrowing" language of great flexibility and with a huge vocabulary . Dialects and accents vary amongst the four countries of

21156-405: The learning curve on the gentlest availing slope, we may well begin at the level of zeroth-order inquiry , in effect, taking the syllogistic approach to inquiry only so far as the propositional or sentential aspects of the associated reasoning processes are concerned. One of the bonuses of doing this in the context of Peirce's logical work is that it provides us with doubly instructive exercises in

21320-550: The letter B, we may safely suppose that our reasoner has already detached the consequence of the abduced Case, C → B, and has begun to expand on its further implications. So let us imagine that our up-looker has a more deliberate purpose in mind, and that his search for additional data is driven by the new-found, determinate Rule: Contemplating the assumed Case in combination with this new Rule leads him by an immediate deduction to predict an additional Fact: The reconstructed picture of reasoning assembled in this second phase of inquiry

21484-412: The limits of knowledge is radical or global skepticism , which holds that humans lack any form of knowledge or that knowledge is impossible. For example, the dream argument states that perceptual experience is not a source of knowledge since dreaming provides unreliable information and a person could be dreaming without knowing it. Because of this inability to discriminate between dream and perception, it

21648-457: The mass internal migration to Northamptonshire in the 1940s and given its position between several major accent regions, it has become a source of various accent developments. In Northampton the older accent has been influenced by overspill Londoners. There is an accent known locally as the Kettering accent, which is a transitional accent between the East Midlands and East Anglian . It is

21812-408: The mathematical belief that 2 + 2 = 4, are justified through pure reason alone. Testimony is often included as an additional source of knowledge that, unlike the other sources, is not tied to one specific cognitive faculty. Instead, it is based on the idea that one person can come to know a fact because another person talks about this fact. Testimony can happen in numerous ways, like regular speech,

21976-486: The middle is wholly contained in or excluded from the first, the extremes must admit of perfect syllogism. By 'middle term' I mean that which both is contained in another and contains another in itself, and which is the middle by its position also; and by 'extremes' (a) that which is contained in another, and (b) that in which another is contained. For if A is predicated of all B , and B of all C , A must necessarily be predicated of all C . ... I call this kind of figure

22140-564: The military, which relies on intelligence to identify and prevent threats. In the field of education, the value of knowledge can be used to choose which knowledge should be passed on to the students. The scientific approach is usually regarded as an exemplary process of how to gain knowledge about empirical facts. Scientific knowledge includes mundane knowledge about easily observable facts, for example, chemical knowledge that certain reactants become hot when mixed together. It also encompasses knowledge of less tangible issues, like claims about

22304-463: The modern period, but due to their remoteness from the Germanic languages , influence on English was notably limited . However, the degree of influence remains debated, and it has recently been argued that its grammatical influence accounts for the substantial innovations noted between English and the other West Germanic languages. Initially, Old English was a diverse group of dialects, reflecting

22468-420: The object. By contrast, it is also possible to indirectly learn a lot of propositional knowledge about chocolate or Lake Taupō by reading books without having the direct experiential contact required for knowledge by acquaintance. The concept of knowledge by acquaintance was first introduced by Bertrand Russell . He holds that knowledge by acquaintance is more basic than propositional knowledge since to understand

22632-421: The observation that metaphysics aims to characterize the things in themselves, he concludes that no metaphysical knowledge is possible, like knowing whether the world has a beginning or is infinite . There are also limits to knowledge in the empirical sciences, such as the uncertainty principle , which states that it is impossible to know the exact magnitudes of certain certain pairs of physical properties, like

22796-474: The other" indicated that one must not inquire about what is beyond the universe, what is above and what is below, what is before and what is after. Many aspects of inquiry can be recognized and usefully studied in very basic logical settings, even simpler than the level of syllogism , for example, in the realm of reasoning that is variously known as Boolean algebra , propositional calculus , sentential calculus , or zeroth-order logic . By way of approaching

22960-503: The past and makes it accessible in the present, as when remembering a past event or a friend's phone number. It is generally seen as a reliable source of knowledge. However, it can be deceptive at times nonetheless, either because the original experience was unreliable or because the memory degraded and does not accurately represent the original experience anymore. Knowledge based on perception, introspection, and memory may give rise to inferential knowledge, which comes about when reasoning

23124-416: The position and momentum of a particle, at the same time. Other examples are physical systems studied by chaos theory , for which it is not practically possible to predict how they will behave since they are so sensitive to initial conditions that even the slightest of variations may produce a completely different behavior. This phenomenon is known as the butterfly effect . The strongest position about

23288-702: The possibility of knowledge. Knowledge is relevant to many fields like the sciences , which aim to acquire knowledge using the scientific method based on repeatable experimentation , observation , and measurement . Various religions hold that humans should seek knowledge and that God or the divine is the source of knowledge. The anthropology of knowledge studies how knowledge is acquired, stored, retrieved, and communicated in different cultures. The sociology of knowledge examines under what sociohistorical circumstances knowledge arises, and what sociological consequences it has. The history of knowledge investigates how knowledge in different fields has developed, and evolved, in

23452-444: The pragmatic model or theory of inquiry was extracted by Peirce from its raw materials in classical logic, with a little bit of help from Kant , and refined in parallel with the early development of symbolic logic by Boole , De Morgan , and Peirce himself to address problems about the nature and conduct of scientific reasoning. Borrowing a brace of concepts from Aristotle , Peirce examined three fundamental modes of reasoning that play

23616-463: The purposes of the present analysis the first two steps in the more extended proceedings that go to make up the whole inquiry. In this analysis of the first steps of Inquiry, we have a complex or a mixed form of inference that can be seen as taking place in two steps: This is nowhere near a complete analysis of the Rainy Day inquiry, even insofar as it might be carried out within the constraints of

23780-467: The question of whether or why knowledge is more valuable than mere true belief. There is wide agreement that knowledge is usually good in some sense but the thesis that knowledge is better than true belief is controversial. An early discussion of this problem is found in Plato's Meno in relation to the claim that both knowledge and true belief can successfully guide action and, therefore, have apparently

23944-524: The reasoner makes use of rules that have to be transported across intervals of experience, from the masses of experience where they are learned to the moments of experience where they are applied. Inductive reasoning is involved in the learning and the transfer of these rules, both in accumulating a knowledge base and in carrying it through the times between acquisition and application. Let's now consider how these principles of learning, transfer, and testing apply to John Dewey's "Sign of Rain" example. Rules in

24108-519: The repertoire of the agent. But non-demonstrative ways of thinking are inherently subject to error, and must be constantly checked out and corrected as needed in practice. In classical terminology, forms of judgment that require attention to the context and the purpose of the judgment are said to involve an element of "art", in a sense that is judged to distinguish them from "science", and in their renderings as expressive judgments to implicate arbiters in styles of rhetoric , as contrasted with logic . In

24272-399: The requirements that the justified true belief does not depend on any false beliefs, that no defeaters are present, or that the person would not have the belief if it was false. Another view states that beliefs have to be infallible to amount to knowledge. A further approach, associated with pragmatism , focuses on the aspect of inquiry and characterizes knowledge in terms of what works as

24436-479: The same value. For example, it seems that mere true belief is as effective as knowledge when trying to find the way to Larissa . According to Plato, knowledge is better because it is more stable. Another suggestion is that knowledge gets its additional value from justification. One difficulty for this view is that while justification makes it more probable that a belief is true, it is not clear what additional value it provides in comparison to an unjustified belief that

24600-420: The sequel, is well worth our contemplation, since it hints already at streams of inquiry that course well beyond the syllogistic source from which they spring, and into regions that Peirce will explore more broadly and deeply. In the pragmatic philosophies of Charles Sanders Peirce , William James , John Dewey , and others, inquiry is closely associated with the normative science of logic . In its inception,

24764-588: The spiritual path and to see reality as it truly is beyond the veil of appearances . Sources of knowledge are ways in which people come to know things. They can be understood as cognitive capacities that are exercised when a person acquires new knowledge. Various sources of knowledge are discussed in the academic literature, often in terms of the mental faculties responsible. They include perception, introspection, memory, inference, and testimony. However, not everyone agrees that all of them actually lead to knowledge. Usually, perception or observation, i.e. using one of

24928-401: The spoken language. Globally, countries that are former British colonies or members of the Commonwealth tend to follow British English, as is the case for English used by European Union institutions. In China, both British English and American English are taught. The UK government actively teaches and promotes English around the world and operates in over 200 countries . English is

25092-464: The syllogistic framework, and it covers only the first two steps of the relevant inquiry process, but maybe it will do for a start. One other thing needs to be noticed here, the formal duality between this expansion phase of inquiry and the argument from analogy . This can be seen most clearly in the propositional lattice diagrams shown in Figures 3 and 4, where analogy exhibits a rough "A" shape and

25256-405: The term is used in ordinary language . There is also disagreement about whether knowledge is a rare phenomenon that requires high standards or a common phenomenon found in many everyday situations. An often-discussed definition characterizes knowledge as justified true belief. This definition identifies three essential features: it is (1) a belief that is (2) true and (3) justified . Truth

25420-603: The theft of work tools worth £500 from a van at the Sprucefield park and ride car park in Lisburn. A football team can be treated likewise: Arsenal have lost just one of 20 home Premier League matches against Manchester City. This tendency can be observed in texts produced already in the 19th century. For example, Jane Austen , a British author, writes in Chapter 4 of Pride and Prejudice , published in 1813: All

25584-403: The traditional accent of Newcastle upon Tyne , 'out' will sound as 'oot', and in parts of Scotland and North-West England, 'my' will be pronounced as 'me'. Long vowels /iː/ and /uː/ are diphthongised to [ɪi] and [ʊu] respectively (or, more technically, [ʏʉ], with a raised tongue), so that ee and oo in feed and food are pronounced with a movement. The diphthong [oʊ] is also pronounced with

25748-553: The use of his logical graphs , taken at the level of his so-called " alpha graphs ". In the case of propositional calculus or sentential logic, deduction comes down to applications of the transitive law for conditional implications and the approximate forms of inference hang on the properties that derive from these. In describing the various types of inference the following employs a few old "terms of art" from classical logic that are still of use in treating these kinds of simple problems in reasoning. For ease of reference, Figure 1 and

25912-438: The value of knowledge is crucial to many fields that have to make decisions about whether to seek knowledge about a specific matter. On a political level, this concerns the problem of identifying the most promising research programs to allocate funds. Similar concerns affect businesses, where stakeholders have to decide whether the cost of acquiring knowledge is justified by the economic benefits that this knowledge may provide, and

26076-750: The varied origins of the Anglo-Saxon kingdoms of England. One of these dialects, Late West Saxon , eventually came to dominate. The original Old English was then influenced by two waves of invasion: the first was by speakers of the Scandinavian branch of the Germanic family, who settled in parts of Britain in the eighth and ninth centuries; the second was the Normans in the 11th century, who spoke Old Norman and ultimately developed an English variety of this called Anglo-Norman . These two invasions caused English to become "mixed" to some degree (though it

26240-568: The world are good and agreeable in your eyes. However, in Chapter 16, the grammatical number is used. The world is blinded by his fortune and consequence. Some dialects of British English use negative concords, also known as double negatives . Rather than changing a word or using a positive, words like nobody, not, nothing, and never would be used in the same sentence. While this does not occur in Standard English, it does occur in non-standard dialects. The double negation follows

26404-405: The world is like. Non-propositional knowledge is knowledge in which no essential relation to a proposition is involved. The two most well-known forms are knowledge-how (know-how or procedural knowledge ) and knowledge by acquaintance. To possess knowledge-how means to have some form of practical ability , skill, or competence , like knowing how to ride a bicycle or knowing how to swim. Some of

26568-411: Was clear the last time he observed it; but presently he notes, while occupied primarily with other things, that the air is cooler. It occurs to him that it is probably going to rain; looking up, he sees a dark cloud between him and the sun, and he then quickens his steps. What, if anything, in such a situation can be called thought? Neither the act of walking nor the noting of the cold is a thought. Walking

26732-422: Was never a truly mixed language in the strictest sense of the word; mixed languages arise from the cohabitation of speakers of different languages, who develop a hybrid tongue for basic communication). The more idiomatic, concrete and descriptive English is, the more it is from Anglo-Saxon origins. The more intellectual and abstract English is, the more it contains Latin and French influences, e.g. swine (like

26896-529: Was the day he was assassinated but it was knowable to him and some contemporaries. Another factor restricting knowledge is given by the limitations of the human cognitive faculties. Some people may lack the cognitive ability to understand highly abstract mathematical truths and some facts cannot be known by any human because they are too complex for the human mind to conceive. A further limit of knowledge arises due to certain logical paradoxes . For instance, there are some ideas that will never occur to anyone. It

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