Anaximander ( / æ ˌ n æ k s ɪ ˈ m æ n d ər / an- AK -sih- MAN -dər ; ‹See Tfd› Greek : Ἀναξίμανδρος Anaximandros ; c. 610 – c. 546 BC ) was a pre-Socratic Greek philosopher who lived in Miletus , a city of Ionia (in modern-day Turkey). He belonged to the Milesian school and learned the teachings of his master Thales . He succeeded Thales and became the second master of that school where he counted Anaximenes and, arguably, Pythagoras amongst his pupils.
166-398: Little of his life and work is known today. According to available historical documents, he is the first philosopher known to have written down his studies, although only one fragment of his work remains. Fragmentary testimonies found in documents after his death provide a portrait of the man. Anaximander was an early proponent of science and tried to observe and explain different aspects of
332-677: A celestial sphere . This invention undoubtedly made him the first to realize the obliquity of the Zodiac as the Roman philosopher Pliny the Elder reports in Natural History (II, 8). It is a little early to use the term ecliptic , but his knowledge and work on astronomy confirm that he must have observed the inclination of the celestial sphere in relation to the plane of the Earth to explain
498-702: A Jerusalem city-state under the control of United Nations Trusteeship Council . Although the plan had some international support and the UN accepted this proposal (and still officially holds the stance that Jerusalem should be held under this regime), implementation of the plan failed as the 1948 Palestine war broke out with the 1947–48 Civil War in Mandatory Palestine , ultimately resulting in Jerusalem being split into West Jerusalem and East Jerusalem . Israel would eventually gain control of East Jerusalem in
664-410: A body distinct from the elements). the infinite, and not air or water, in order that the other things may not be destroyed by their infinity. They are in opposition one to another. air is cold, water moist, and fire hot. and therefore, if any one of them were infinite, the rest would have ceased to be by this time. Accordingly they say that what is infinite is something other than the elements, and from it
830-460: A boundless stock from which the waste of existence is continually made good, "elements.". That is only the natural development of the thought we have ascribed to Thales, and there can be no doubt that Anaximander at least formulated it distinctly. Indeed, we can still follow to some extent the reasoning which led him to do so. Thales had regarded water as the most likely thing to be that of which all others are forms; Anaximander appears to have asked how
996-538: A century before, were first observed . In 2019, the international collaboration Event Horizon Telescope presented the first direct image of a black hole 's accretion disc . Modern science is commonly divided into three major branches : natural science , social science , and formal science . Each of these branches comprises various specialised yet overlapping scientific disciplines that often possess their own nomenclature and expertise. Both natural and social sciences are empirical sciences , as their knowledge
1162-670: A city-state. In Northern and Central Italy during the medieval and Renaissance periods, city-states — with various amounts of associated land — became the standard form of polity. Some of them, despite being de facto independent states, were formally part of the Holy Roman Empire . The era of the Italian states, in particular from the 11th to the 15th centuries, featured remarkable economic development, trade, manufacture, and mercantile capitalism, together with increasing urbanization, with remarkable influence throughout much of
1328-481: A discipline. Ideas on human nature, society, and economics evolved during the Enlightenment. Hume and other Scottish Enlightenment thinkers developed A Treatise of Human Nature , which was expressed historically in works by authors including James Burnett , Adam Ferguson , John Millar and William Robertson , all of whom merged a scientific study of how humans behaved in ancient and primitive cultures with
1494-669: A federation, and as such can be accurately described as non-sovereign city-states with a high degree of autonomy, include: The Sovereign State of the Bektashi Order is a proposed city-state in Albanian capital of Tirana which will be established if approved by the Albanian Parliament and a national referendum. The state, which would be led by the Bektashi Order , is planned to be similar in structure to
1660-411: A few of their scientific predecessors – Galileo , Kepler , Boyle , and Newton principally – as the guides to every physical and social field of the day. The 18th century saw significant advancements in the practice of medicine and physics; the development of biological taxonomy by Carl Linnaeus ; a new understanding of magnetism and electricity; and the maturation of chemistry as
1826-423: A greater role in knowledge creation and it was not until the 19th century that many of the institutional and professional features of science began to take shape, along with the changing of "natural philosophy" to "natural science". New knowledge in science is advanced by research from scientists who are motivated by curiosity about the world and a desire to solve problems. Contemporary scientific research
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#17327647331161992-475: A highly stable universe where there could be little loss of resources. However, with the advent of the steam engine and the Industrial Revolution there was an increased understanding that not all forms of energy have the same energy qualities , the ease of conversion to useful work or to another form of energy. This realisation led to the development of the laws of thermodynamics , in which
2158-475: A horizontal plane. The position of its shadow on the plane indicated the time of day. As it moves through its apparent course, the Sun draws a curve with the tip of the projected shadow, which is shortest at noon, when pointing due south. The variation in the tip's position at noon indicates the solar time and the seasons; the shadow is longest on the winter solstice and shortest on the summer solstice. The invention of
2324-455: A hypothesis proves unsatisfactory it is modified or discarded. If the hypothesis survives testing, it may become adopted into the framework of a scientific theory , a validly reasoned , self-consistent model or framework for describing the behaviour of certain natural events. A theory typically describes the behaviour of much broader sets of observations than a hypothesis; commonly, a large number of hypotheses can be logically bound together by
2490-402: A less active fire to break free. Thunderbolts are the result of a thicker and more violent air flow. He saw the sea as a remnant of the mass of humidity that once surrounded Earth. A part of that mass evaporated under the Sun's action, thus causing the winds and even the rotation of the celestial bodies, which he believed were attracted to places where water is more abundant. He explained rain as
2656-407: A new non- teleological way. This implied a shift in the view of objects: objects were now considered as having no innate goals. Leibniz assumed that different types of things all work according to the same general laws of nature, with no special formal or final causes. During this time the declared purpose and value of science became producing wealth and inventions that would improve human lives, in
2822-404: A part of it. Until September 1870, the city of Rome had been controlled by the pope as part of his Papal States . When King Victor Emmanuel II seized the city in 1870, Pope Pius IX refused to recognize the newly formed Kingdom of Italy . Because he could not travel without effectively acknowledging the authority of the king, Pius IX and his successors each claimed to be a " Prisoner in
2988-450: A population of less than 1,000 (mostly clergymen), it is by far the smallest sovereign country in the world. The Principality of Monaco is a very small independent city-state bordering France. Monaco-Ville (the ancient fortified city) and Monaco's well-known area Monte Carlo are districts of a continuous urban zone, not distinct cities, though they were three separate municipalities ( communes ) until 1917. The Principality of Monaco and
3154-459: A pre-Socratic effort to demystify physical processes. His major contribution to history was writing the oldest prose document about the Universe and the origins of life; for this he is often called the "Father of Cosmology " and founder of astronomy. However, pseudo-Plutarch states that he still viewed celestial bodies as deities. He placed the celestial bodies in the wrong order. He thought that
3320-458: A preference for one outcome over another. Eliminating the bias can be achieved through transparency, careful experimental design , and a thorough peer review process of the experimental results and conclusions. After the results of an experiment are announced or published, it is normal practice for independent researchers to double-check how the research was performed, and to follow up by performing similar experiments to determine how dependable
3486-456: A priori disciplines and because of this, there is disagreement on whether they constitute a science. Nevertheless, the formal sciences play an important role in the empirical sciences. Calculus , for example, was initially invented to understand motion in physics. Natural and social sciences that rely heavily on mathematical applications include mathematical physics , chemistry , biology , finance , and economics . Applied science
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#17327647331163652-457: A product of the humidity pumped up from Earth by the sun. For him, the Earth was slowly drying up and water only remained in the deepest regions, which someday would go dry as well. According to Aristotle's Meteorology (II, 3), Democritus also shared this opinion. Anaximander speculated about the beginnings and origin of animal life, and that humans came from other animals in waters. According to his evolutionary theory , animals sprang out of
3818-563: A regional power at the time, needed to define their territories for negotiation with the European powers so the Siamese government established a nation-state system, incorporated their tributary cities ( Lan Xang , Cambodia and some Malay cities) into their territory and abolished the mueang and the tributary system. In early Philippine history, the barangay was a complex sociopolitical unit which scholars have historically considered
3984-400: A revolution in information technology and the rise of the global internet and mobile computing , including smartphones . The need for mass systematisation of long, intertwined causal chains and large amounts of data led to the rise of the fields of systems theory and computer-assisted scientific modelling . The Human Genome Project was completed in 2003 by identifying and mapping all of
4150-616: A robust military , and substantial international influence in its own right. The Economist refers to the nation as the "world's only fully functioning city-state". Several non-sovereign cities enjoy a high degree of autonomy and are often confused for city-states. Hong Kong , Macau , and cities of the United Arab Emirates —most notably Dubai and Abu Dhabi —are often cited as such. Historical city-states included Sumerian cities such as Uruk and Ur ; Ancient Egyptian city-states, such as Thebes and Memphis ;
4316-461: A separate discipline from philosophy when Wilhelm Wundt founded the first laboratory for psychological research in 1879. During the mid-19th century Charles Darwin and Alfred Russel Wallace independently proposed the theory of evolution by natural selection in 1858, which explained how different plants and animals originated and evolved. Their theory was set out in detail in Darwin's book On
4482-592: A separate field because they rely on deductive reasoning instead of the scientific method or empirical evidence as their main methodology. Applied sciences are disciplines that use scientific knowledge for practical purposes, such as engineering and medicine . The history of science spans the majority of the historical record, with the earliest written records of identifiable predecessors to modern science dating to Bronze Age Egypt and Mesopotamia from around 3000 to 1200 BCE . Their contributions to mathematics, astronomy , and medicine entered and shaped
4648-475: A set of basic assumptions that are needed to justify the scientific method: there is an objective reality shared by all rational observers; this objective reality is governed by natural laws ; these laws were discovered by means of systematic observation and experimentation. Mathematics is essential in the formation of hypotheses , theories , and laws, because it is used extensively in quantitative modelling, observing, and collecting measurements . Statistics
4814-463: A set of rules. It includes mathematics, systems theory , and theoretical computer science . The formal sciences share similarities with the other two branches by relying on objective, careful, and systematic study of an area of knowledge. They are, however, different from the empirical sciences as they rely exclusively on deductive reasoning, without the need for empirical evidence, to verify their abstract concepts. The formal sciences are therefore
4980-540: A single city; in the cases of Luxembourg, Djibouti and Kuwait, this primate city is so dominant as to give its name to the country. These countries are distinct from true city-states such as Singapore in that they comprise both their primate city (such as Luxembourg City ) and a number of peripheral cities and towns (such as Esch-sur-Alzette and ten other towns in Luxembourg) with autonomous municipal authorities , and may also include substantial rural areas (such as
5146-478: A single theory. Thus, a theory is a hypothesis explaining various other hypotheses. In that vein, theories are formulated according to most of the same scientific principles as hypotheses. Scientists may generate a model , an attempt to describe or depict an observation in terms of a logical, physical or mathematical representation, and to generate new hypotheses that can be tested by experimentation. While performing experiments to test hypotheses, scientists may have
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5312-468: A slightly rounded metal surface. The centre or “navel” of the world ( ὀμφαλός γῆς omphalós gẽs ) could have been Delphi , but is more likely in Anaximander's time to have been located near Miletus. The Aegean Sea was near the map's centre and enclosed by three continents, themselves located in the middle of the ocean and isolated like islands by sea and rivers. Europe was bordered on the south by
5478-489: A sort of primal chaos . According to him, the Universe originates in the separation of opposites in the primordial matter. It embraces the opposites of hot and cold, wet and dry, and directs the movement of things; an entire host of shapes and differences then grow that are found in "all the worlds" (for he believed there were many). "Anaximander taught, then, that there was an eternal. The indestructible something out of which everything arises, and into which everything returns;
5644-429: A strong awareness of the determining forces of modernity . Modern sociology largely originated from this movement. In 1776, Adam Smith published The Wealth of Nations , which is often considered the first work on modern economics. During the nineteenth century many distinguishing characteristics of contemporary modern science began to take shape. These included the transformation of the life and physical sciences;
5810-603: A subject of the Persian Achaemenid Empire . Anaximander's theories were influenced by the Greek mythical tradition, and by some ideas of Thales – the father of Western philosophy – as well as by observations made by older civilizations in the Near East, especially Babylon. All these were developed rationally. In his desire to find some universal principle, he assumed, like traditional religion,
5976-412: A system of hollow concentric wheels, filled with fire, with the rims pierced by holes like those of a flute. Consequently, the Sun was the fire that one could see through a hole the same size as the Earth on the farthest wheel, and an eclipse corresponded with the occlusion of that hole. The diameter of the solar wheel was twenty-seven times that of the Earth (or twenty-eight, depending on the sources) and
6142-414: A tributary relationship now described as mandala or as over-lapping sovereignty , in which smaller city-states paid tribute to larger ones that paid tribute to still larger ones—until reaching the apex in cities like Ayutthaya , Bagan , Bangkok and others that served as centers of Southeast Asian royalty. The system existed until the 19th century, when colonization by European powers occurred. Siam ,
6308-438: A unified theory in the early 20th-century when the modern synthesis reconciled Darwinian evolution with classical genetics . Albert Einstein 's theory of relativity and the development of quantum mechanics complement classical mechanics to describe physics in extreme length , time and gravity . Widespread use of integrated circuits in the last quarter of the 20th century combined with communications satellites led to
6474-599: A world map comes from the late Babylonian Map of the World later than 9th century BC but is based probably on a much older map. These maps indicated directions, roads, towns, borders, and geological features. Anaximander's innovation was to represent the entire inhabited land known to the ancient Greeks. Such an accomplishment is more significant than it at first appears. Anaximander most likely drew this map for three reasons. First, it could be used to improve navigation and trade between Miletus 's colonies and other colonies around
6640-519: Is an independent sovereign city which serves as the center of political, economic, and cultural life over its contiguous territory. They have existed in many parts of the world since the dawn of history, including cities such as Rome , Carthage , Athens and Sparta and the Italian city-states during the Middle Ages and Renaissance , such as Florence , Venice , Genoa and Milan . With
6806-487: Is based on empirical observations and is capable of being tested for its validity by other researchers working under the same conditions. Natural science is the study of the physical world. It can be divided into two main branches: life science and physical science . These two branches may be further divided into more specialised disciplines. For example, physical science can be subdivided into physics, chemistry , astronomy , and earth science . Modern natural science
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6972-439: Is becoming a central feature of computational contributions to science, for example in agent-based computational economics , random forests , topic modeling and various forms of prediction. However, machines alone rarely advance knowledge as they require human guidance and capacity to reason; and they can introduce bias against certain social groups or sometimes underperform against humans. Interdisciplinary science involves
7138-714: Is considered to be one of the most important publications in medicine and was used until the 18th century. By the eleventh century most of Europe had become Christian, and in 1088, the University of Bologna emerged as the first university in Europe. As such, demand for Latin translation of ancient and scientific texts grew, a major contributor to the Renaissance of the 12th century . Renaissance scholasticism in western Europe flourished, with experiments done by observing, describing, and classifying subjects in nature. In
7304-573: Is debatable whether Thales actually was the teacher of Anaximander, but there is no doubt that Anaximander was influenced by Thales' theory that everything is derived from water. One thing that is not debatable is that even the ancient Greeks considered Anaximander to be from the Monist school which began in Miletus, with Thales followed by Anaximander and which ended with Anaximenes . 3rd-century Roman rhetorician Aelian depicts Anaximander as leader of
7470-517: Is derived in the last resort from Theophrastos, who certainly knew his book. He seems once at least to have quoted Anaximander's own words, and he criticised his style. Here are the remains of what he said of him in the First Book: "Anaximander of Miletos, son of Praxiades, a fellow-citizen and associate of Thales, said that the material cause and first element of things was the Infinite, he being
7636-542: Is highly collaborative and is usually done by teams in academic and research institutions , government agencies, and companies. The practical impact of their work has led to the emergence of science policies that seek to influence the scientific enterprise by prioritising the ethical and moral development of commercial products, armaments, health care, public infrastructure, and environmental protection . The word science has been used in Middle English since
7802-416: Is lying in the middle of the city. The same rational way of thought led him to introduce the abstract apeiron (indefinite, infinite, boundless, unlimited) as an origin of the universe, a concept that is probably influenced by the original Chaos (gaping void, abyss, formless state) from which everything else appeared in the mythical Greek cosmogony . It also takes notice of the mutual changes between
7968-709: Is not an independent authority, and the only question is what Theophrastos wrote." For him, it became no longer a mere point in time, but a source that could perpetually give birth to whatever will be. The indefiniteness is spatial in early usages as in Homer (indefinite sea) and as in Xenophanes (6th century BC) who said that the Earth went down indefinitely (to apeiron ) i.e. beyond the imagination or concept of men. Burnet (1930) in Early Greek Philosophy says: "Nearly all we know of Anaximander's system
8134-512: Is the main characteristic of the archaic period (8th to 6th century BC) in the Greek city-states . This has given rise to the phrase "Greek miracle". But there may not have been such an abrupt break as initially appears. The basic elements of nature ( water , air , fire , earth ) which the first Greek philosophers believed made up the universe in fact represent the primordial forces imagined in earlier ways of thinking. Their collision produced what
8300-447: Is the search for solutions to practical problems using this knowledge. Most understanding comes from basic research, though sometimes applied research targets specific practical problems. This leads to technological advances that were not previously imaginable. Scientific research involves using the scientific method , which seeks to objectively explain the events of nature in a reproducible way. Scientists usually take for granted
8466-533: Is the successor to the natural philosophy that began in Ancient Greece . Galileo , Descartes , Bacon , and Newton debated the benefits of using approaches that were more mathematical and more experimental in a methodical way. Still, philosophical perspectives, conjectures , and presuppositions , often overlooked, remain necessary in natural science. Systematic data collection, including discovery science , succeeded natural history , which emerged in
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#17327647331168632-427: Is the use of the scientific method and knowledge to attain practical goals and includes a broad range of disciplines such as engineering and medicine. Engineering is the use of scientific principles to invent, design and build machines, structures and technologies. Science may contribute to the development of new technologies. Medicine is the practice of caring for patients by maintaining and restoring health through
8798-403: Is used to make falsifiable predictions, which are typically posted before being tested by experimentation. Disproof of a prediction is evidence of progress. Experimentation is especially important in science to help establish causal relationships to avoid the correlation fallacy , though in some sciences such as astronomy or geology, a predicted observation might be more appropriate. When
8964-410: Is used to summarise and analyse data, which allows scientists to assess the reliability of experimental results. In the scientific method an explanatory thought experiment or hypothesis is put forward as an explanation using parsimony principles and is expected to seek consilience – fitting with other accepted facts related to an observation or scientific question. This tentative explanation
9130-486: The 2nd-most-densely populated country in the world after Monaco. Singapore was part of the Federation of Malaysia for two years before it was expelled from the federation in 1965, becoming an independent republic , a city and a sovereign country. The Economist refers to the nation as the "world's only fully functioning city-state". In particular, it has its own currency , a large commercial airport , one of
9296-632: The Byzantine empire and Arabic translations were done by groups such as the Nestorians and the Monophysites . Under the Caliphate , these Arabic translations were later improved and developed by Arabic scientists. By the 6th and 7th centuries, the neighbouring Sassanid Empire established the medical Academy of Gondeshapur , which is considered by Greek, Syriac, and Persian physicians as
9462-649: The Décapole (1354–1679) in the Alsace, or the Old Swiss Confederacy ( c. 1300 – 1798). The Swiss cantons of Zürich , Bern , Lucerne , Fribourg , Solothurn , Basel , Schaffhausen , and Geneva originated as city-states. After the dissolution of the Holy Roman Empire in 1806, some cities – then members of different confederacies – officially became sovereign city-states, such as
9628-740: The Early Middle Ages (400 to 1000 CE), but in the Medieval renaissances ( Carolingian Renaissance , Ottonian Renaissance and the Renaissance of the 12th century ) scholarship flourished again. Some Greek manuscripts lost in Western Europe were preserved and expanded upon in the Middle East during the Islamic Golden Age , along with the later efforts of Byzantine Greek scholars who brought Greek manuscripts from
9794-651: The Free Hanseatic City of Bremen (1806–11 and again 1813–71), the Free City of Frankfurt upon Main (1815–66), the Free and Hanseatic City of Hamburg (1806–11 and again 1814–71), the Free and Hanseatic City of Lübeck (1806–11 and again 1813–71), and the Free City of Kraków (1815–1846). Under Habsburg rule the city of Fiume had the status of a corpus separatum (1779–1919), which – while falling short of an independent sovereignty – had many attributes of
9960-885: The Kingdom of Dublin , as city-states. In Cyprus , the Phoenician settlement of Kition (in present-day Larnaca) was a city-state that existed from around 800 BC until the end of the 4th century BC. Some of the most well-known examples of city-state culture in human history are the ancient Greek city-states and the merchant city-states of Renaissance Italy , which organised themselves as independent centers. The success of regional units coexisting as autonomous actors in loose geographical and cultural unity, as in Italy and Greece , often prevented their amalgamation into larger national units. However, such small political entities often survived only for short periods because they lacked
10126-648: The Mayan and other cultures of pre-Columbian Mesoamerica (including cities such as Chichen Itza , Tikal , Copán and Monte Albán ); the central Asian cities along the Silk Road ; the city-states of the Swahili coast ; Ragusa ; states of the medieval Russian lands such as Novgorod and Pskov ; and many others. Danish historian Poul Holm has classed the Viking colonial cities in medieval Ireland , most importantly
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#173276473311610292-852: The Mediterranean Sea and was separated from Asia by the Black Sea, the Lake Maeotis , and, further east, either by the Phasis River (now called the Rioni in Georgia ) or the Tanais . The Nile flowed south into the ocean, separating Libya (which was the name for the part of the then-known African continent) from Asia. The Suda relates that Anaximander explained some basic notions of geometry. It also mentions his interest in
10458-606: The Peace of Westphalia of 1648. Some, like three of the earlier Hanseatic cities – Bremen , Hamburg and Lübeck – pooled their economic relations with foreign powers and were able to wield considerable diplomatic clout. Individual cities often made protective alliances with other cities or with neighbouring regions, including the Hanseatic League (1358 – 17th century), the Swabian League of Cities (1331–1389),
10624-800: The Phoenician cities (such as Tyre and Sidon ); the five Philistine city-states; the Berber city-states of the Garamantes ; the city-states of ancient Greece (the poleis such as Athens , Sparta , Thebes , and Corinth ); the Roman Republic (which grew from a city-state into a vast empire); the Italian city-states from the Middle Ages to the early modern period, such as Florence , Siena , Ferrara , Milan (which as they grew in power began to dominate neighboring cities) and Genoa and Venice , which became powerful thalassocracies ;
10790-609: The Proto-Italic language as * skije- or * skijo- meaning "to know", which may originate from Proto-Indo-European language as *skh 1 -ie , *skh 1 -io , meaning "to incise". The Lexikon der indogermanischen Verben proposed sciō is a back-formation of nescīre , meaning "to not know, be unfamiliar with", which may derive from Proto-Indo-European *sekH- in Latin secāre , or *skh 2 - , from *sḱʰeh2(i)- meaning "to cut". In
10956-722: The Six-Day War in 1967. The Klaipėda Region or Memel Territory was defined by the Treaty of Versailles in 1920 when it was put under the administration of the Council of Ambassadors . The Memel Territory was to remain under the control of the League of Nations until a future day when the people of the region would be allowed to vote on whether the land would return to Germany or not. The then predominantly ethnic German Memel Territory ( Prussian Lithuanians and Memellanders constituted
11122-556: The Vatican City . The idea has been proposed by Albanian Prime Minister Edi Rama and leader of the Bektashi Order Baba Mondi in the hope that sovereignty would help promote moderate Muslim values instead of radical ideologies. The Sovereign State of the Bektashi Order would be surrounded by the suburbs of eastern Tirana and would be the smallest nation in the world . The London independence movement seeks
11288-561: The camera obscura and the telescope . At the start of the Renaissance, Roger Bacon , Vitello , and John Peckham each built up a scholastic ontology upon a causal chain beginning with sensation, perception, and finally apperception of the individual and universal forms of Aristotle. A model of vision later known as perspectivism was exploited and studied by the artists of the Renaissance. This theory uses only three of Aristotle's four causes: formal, material, and final. In
11454-424: The historical method , case studies , and cross-cultural studies . Moreover, if quantitative information is available, social scientists may rely on statistical approaches to better understand social relationships and processes. Formal science is an area of study that generates knowledge using formal systems . A formal system is an abstract structure used for inferring theorems from axioms according to
11620-431: The materialistic sense of having more food, clothing, and other things. In Bacon's words , "the real and legitimate goal of sciences is the endowment of human life with new inventions and riches ", and he discouraged scientists from pursuing intangible philosophical or spiritual ideas, which he believed contributed little to human happiness beyond "the fume of subtle, sublime or pleasing [speculation]". Science during
11786-499: The prevention , diagnosis , and treatment of injury or disease. The applied sciences are often contrasted with the basic sciences , which are focused on advancing scientific theories and laws that explain and predict events in the natural world. Computational science applies computing power to simulate real-world situations, enabling a better understanding of scientific problems than formal mathematics alone can achieve. The use of machine learning and artificial intelligence
11952-487: The theory of impetus . His criticism served as an inspiration to medieval scholars and Galileo Galilei, who extensively cited his works ten centuries later. During late antiquity and the early Middle Ages , natural phenomena were mainly examined via the Aristotelian approach. The approach includes Aristotle's four causes : material, formal, moving, and final cause. Many Greek classical texts were preserved by
12118-414: The " intermediate " with the something " distinct from " the elements ." "It is certain that he [Anaximander] cannot have said anything about elements, which no one thought of before Empedokles, and no one could think of before Parmenides. The question has only been mentioned because it has given rise to a lengthy controversy, and because it throws light on the historical value of Aristotle's statements. From
12284-534: The "Infinite" with a "material cause", Theophrastos is following the Aristotelian tradition of "nearly always discussing the facts from the point of view of his own system". Aristotle writes ( Metaphysics , I.III 3–4) that the Pre-Socratics were searching for the element that constitutes all things. While each pre-Socratic philosopher gave a different answer as to the identity of this element ( water for Thales and air for Anaximenes), Anaximander understood
12450-419: The "immense ocean from which everything is born and upon which the Earth floats." Anaximander was then able to envisage the Earth at the centre of an infinite space, in which case it required no support as there was nowhere "down" to fall. In Rovelli's view, the shape – a cylinder or a sphere – is unimportant compared to the appreciation of a "finite body that floats free in space." Anaximander's realization that
12616-406: The 13th century, medical teachers and students at Bologna began opening human bodies, leading to the first anatomy textbook based on human dissection by Mondino de Luzzi . New developments in optics played a role in the inception of the Renaissance , both by challenging long-held metaphysical ideas on perception, as well as by contributing to the improvement and development of technology such as
12782-717: The 14th century in the sense of "the state of knowing". The word was borrowed from the Anglo-Norman language as the suffix -cience , which was borrowed from the Latin word scientia , meaning "knowledge, awareness, understanding". It is a noun derivative of the Latin sciens meaning "knowing", and undisputedly derived from the Latin sciō , the present participle scīre , meaning "to know". There are many hypotheses for science ' s ultimate word origin. According to Michiel de Vaan , Dutch linguist and Indo-Europeanist , sciō may have its origin in
12948-444: The 16th century by describing and classifying plants, animals, minerals, and other biotic beings. Today, "natural history" suggests observational descriptions aimed at popular audiences. Social science is the study of human behaviour and the functioning of societies. It has many disciplines that include, but are not limited to anthropology , economics, history, human geography , political science , psychology, and sociology. In
13114-600: The 20th century West Berlin , though lacking sovereignty, functioned from 1948 until 1990 as a state legally not belonging to any other state, but ruled by the Western Allies . They allowed – notwithstanding their overlordship as occupant powers – its internal organisation as one state simultaneously being a city, officially called Berlin (West). Though West Berlin maintained close ties to the West German Federal Republic, it never legally formed
13280-633: The 3rd millennium BCE, the ancient Egyptians developed a decimal numbering system , solved practical problems using geometry , and developed a calendar . Their healing therapies involved drug treatments and the supernatural, such as prayers, incantations , and rituals. The ancient Mesopotamians used knowledge about the properties of various natural chemicals for manufacturing pottery , faience , glass, soap, metals, lime plaster , and waterproofing. They studied animal physiology , anatomy , behaviour , and astrology for divinatory purposes. The Mesopotamians had an intense interest in medicine and
13446-654: The Boundless " intermediate between the elements " than to say that it is " distinct from the elements." Indeed, if once we introduce the elements at all, the former description is the more adequate of the two. At any rate, if we refuse to understand these passages as referring to Anaximander, we shall have to say that Aristotle paid a great deal of attention to some one whose very name has been lost, and who not only agreed with some of Anaximander's views, but also used some of his most characteristic expressions. We may add that in one or two places Aristotle certainly seems to identify
13612-554: The British-led occupation of Istanbul recognised Turkey as de jure sovereign, while the Greek occupation of Smyrna was an attempted annexation . The 1923 Treaty of Lausanne re-established Turkish control of both areas. The Shanghai International Settlement (1845–1943) was an international zone with its own legal system, postal service, and currency. The international zone within the city of Tangier , in North Africa
13778-405: The Earth floats free without falling and does not need to be resting on something has been indicated by many as the first cosmological revolution and the starting point of scientific thinking. Karl Popper calls this idea "one of the boldest, most revolutionary, and most portentous ideas in the whole history of human thinking." Such a model allowed the concept that celestial bodies could pass under
13944-499: The Earth, opening the way to Greek astronomy. Rovelli suggests that seeing the stars circling the Pole star , and both vanishing below the horizon on one side and reappearing above it on the other, would suggest to the astronomer that there was a void both above and below the Earth. Anaximander's bold use of non- mythological explanatory hypotheses considerably distinguishes him from previous cosmology writers such as Hesiod . It indicates
14110-406: The Earth, which is lying in the centre of the universe. This is the projection on nature of a new political order and a new space organized around a centre which is the static point of the system in the society as in nature. In this space there is isonomy (equal rights) and all the forces are symmetrical and transferable. The decisions are now taken by the assembly of demos in the agora which
14276-404: The Enlightenment was dominated by scientific societies and academies , which had largely replaced universities as centres of scientific research and development. Societies and academies were the backbones of the maturation of the scientific profession. Another important development was the popularisation of science among an increasingly literate population. Enlightenment philosophers turned to
14442-601: The Greek natural philosophy of classical antiquity , whereby formal attempts were made to provide explanations of events in the physical world based on natural causes, while further advancements, including the introduction of the Hindu–Arabic numeral system , were made during the Golden Age of India . Scientific research deteriorated in these regions after the fall of the Western Roman Empire during
14608-410: The Greek philosopher Leucippus and his student Democritus . Later, Epicurus would develop a full natural cosmology based on atomism, and would adopt a "canon" (ruler, standard) which established physical criteria or standards of scientific truth. The Greek doctor Hippocrates established the tradition of systematic medical science and is known as " The Father of Medicine ". A turning point in
14774-603: The Mediterranean Sea and Black Sea. Second, Thales would probably have found it easier to convince the Ionian city-states to join in a federation in order to push the Median threat away if he possessed such a tool. Finally, the philosophical idea of a global representation of the world simply for the sake of knowledge was reason enough to design one. Surely aware of the sea's convexity, he may have designed his map on
14940-623: The Mediterranean world and Europe as a whole. During this time, most of the Italian city-states were ruled by one person, such as the Signoria or by a dynasty, such as the House of Gonzaga and the House of Sforza . In the history of Mainland Southeast Asia , aristocratic groups, Buddhist leaders, and others organized settlements into autonomous or semi-autonomous city-states. These were referred to as mueang , and were usually related in
15106-542: The Milesian colony to Apollonia on the Black Sea coast, and hence some have inferred that he was a prominent citizen. Indeed, Various History (III, 17) explains that philosophers sometimes also dealt with political matters. It is very likely that leaders of Miletus sent him there as a legislator to create a constitution or simply to maintain the colony's allegiance. Anaximander lived the final few years of his life as
15272-402: The Milesian school, which was founded by Thales of Miletus and later continued by his successors Anaximander and Anaximenes , were the first to attempt to explain natural phenomena without relying on the supernatural . The Pythagoreans developed a complex number philosophy and contributed significantly to the development of mathematical science. The theory of atoms was developed by
15438-555: The Origin of Species , published in 1859. Separately, Gregor Mendel presented his paper, " Experiments on Plant Hybridization " in 1865, which outlined the principles of biological inheritance, serving as the basis for modern genetics. Early in the 19th century John Dalton suggested the modern atomic theory , based on Democritus's original idea of indivisible particles called atoms . The laws of conservation of energy , conservation of momentum and conservation of mass suggested
15604-680: The Vatican ", unable to leave the 0.44 km (0.17 sq mi) papal enclave once they had ascended the papal throne . The impasse was resolved in 1929 by the Lateran Treaties negotiated by the Italian dictator Benito Mussolini between King Victor Emmanuel III and Pope Pius XI . Under this treaty, Vatican City was recognized as an independent state, with the Pope as its head. The Vatican City State has its own citizenship , diplomatic corps , flag , and postage stamps . With
15770-472: The advent of writing systems in early civilisations like Ancient Egypt and Mesopotamia , creating the earliest written records in the history of science in around 3000 to 1200 BCE . Although the words and concepts of "science" and "nature" were not part of the conceptual landscape at the time, the ancient Egyptians and Mesopotamians made contributions that would later find a place in Greek and medieval science: mathematics, astronomy, and medicine. From
15936-405: The beginning or first principle to be an endless, unlimited primordial mass ( apeiron ), subject to neither old age nor decay, that perpetually yielded fresh materials from which everything we perceive is derived. He proposed the theory of the apeiron in direct response to the earlier theory of his teacher, Thales, who had claimed that the primary substance was water. The notion of temporal infinity
16102-516: The busiest trans-shipment maritime ports in the world , and fully fledged armed forces to safeguard the nation's sovereignty against potential regional aggressors. Singapore is also referred to as the only island city-state in the world by WorldAtlas. A number of other small states share many of these characteristics, and are sometimes cited as modern city-states. Luxembourg , Djibouti , Qatar , Brunei , Kuwait , Bahrain , and Malta are each politically and economically centered on
16268-572: The city of Fiume (now in Croatia and, since the end of World War II, known as Rijeka ) and rural areas to its north, with a corridor to its west connecting it to Italy . Under the United Nations Partition Plan for Palestine of 1947, Mandatory Palestine was to be partitioned into three states: a Jewish state of Israel , an Arab state of Palestine , and a corpus separatum ( Latin for " separated body ") consisting of
16434-522: The city of Monaco (each having specific powers) govern the same territory. Though they maintain a small military , largely for ceremonial purposes, they would still have to rely on France for defence in the face of an aggressive power. Singapore is an island city-state in Southeast Asia bordering Malaysia to the north and Indonesia to the south. 6 million people live and work within 728.3 square kilometres (281.2 sq mi), making Singapore
16600-398: The combination of two or more disciplines into one, such as bioinformatics , a combination of biology and computer science or cognitive sciences . The concept has existed since the ancient Greek period and it became popular again in the 20th century. Scientific research can be labelled as either basic or applied research. Basic research is the search for knowledge and applied research
16766-468: The context of the sovereign state to which they belong. Historian Mogens Herman Hansen describes this aspect of self-government as: "The city-state is a self-governing, but not necessarily independent political unit." A city with more limited self-government may be referred to as an independent city . Some non-sovereign cities which have a high degree of autonomy, and have been described as city-states, include: Some cities that are constituent states in
16932-689: The countless worlds. This theory places Anaximander close to the Atomists and the Epicureans who, more than a century later, also claimed that an infinity of worlds appeared and disappeared. In the timeline of the Greek history of thought , some thinkers conceptualized a single world (Plato, Aristotle, Anaxagoras and Archelaus ), while others instead speculated on the existence of a series of worlds, continuous or non-continuous ( Anaximenes , Heraclitus , Empedocles and Diogenes ). Anaximander attributed some phenomena, such as thunder and lightning, to
17098-610: The course of tens of thousands of years, taking different forms around the world, and few details are known about the very earliest developments. Women likely played a central role in prehistoric science, as did religious rituals . Some scholars use the term " protoscience " to label activities in the past that resemble modern science in some but not all features; however, this label has also been criticised as denigrating, or too suggestive of presentism , thinking about those activities only in relation to modern categories. Direct evidence for scientific processes becomes clearer with
17264-505: The discovery of radioactivity by Henri Becquerel and Marie Curie in 1896, Marie Curie then became the first person to win two Nobel Prizes . In the next year came the discovery of the first subatomic particle, the electron . In the first half of the century the development of antibiotics and artificial fertilisers improved human living standards globally. Harmful environmental issues such as ozone depletion , ocean acidification , eutrophication , and climate change came to
17430-474: The dominant organizational pattern among the various peoples of the Philippine archipelago . These sociopolitical units were sometimes also referred to as barangay states, but are more properly referred to using the technical term polity . Evidence suggests a considerable degree of independence as city states ruled by Datus , Rajahs and Sultans . Early chroniclers record that the name evolved from
17596-526: The dying Byzantine Empire to Western Europe at the start of the Renaissance . The recovery and assimilation of Greek works and Islamic inquiries into Western Europe from the 10th to 13th century revived " natural philosophy ", which was later transformed by the Scientific Revolution that began in the 16th century as new ideas and discoveries departed from previous Greek conceptions and traditions. The scientific method soon played
17762-596: The earliest medical prescriptions appeared in Sumerian during the Third Dynasty of Ur . They seem to have studied scientific subjects which had practical or religious applications and had little interest in satisfying curiosity. In classical antiquity , there is no real ancient analogue of a modern scientist. Instead, well-educated, usually upper-class, and almost universally male individuals performed various investigations into nature whenever they could afford
17928-600: The element of origin was often revisited afterwards, notably by Aristotle, and by the Greek tragedian Euripides : "what comes from earth must return to earth." Friedrich Nietzsche , in his Philosophy in the Tragic Age of the Greeks , stated that Anaximander viewed "... all coming-to-be as though it were an illegitimate emancipation from eternal being, a wrong for which destruction is the only penance." Physicist Max Born , in commenting upon Werner Heisenberg 's arriving at
18094-406: The elements arise.'—Aristotle Physics. F, 5 204 b 22 (Ritter and Preller (1898) Historia Philosophiae Graecae, section 16 b)." Anaximander maintains that all dying things are returning to the element from which they came ( apeiron ). The one surviving fragment of Anaximander's writing deals with this matter. Simplicius transmitted it as a quotation, which describes the balanced and mutual changes of
18260-437: The elements: Whence things have their origin, Thence also their destruction happens, According to necessity; For they give to each other justice and recompense For their injustice In conformity with the ordinance of Time. Simplicius mentions that Anaximander said all these "in poetic terms", meaning that he used the old mythical language. The goddess Justice ( Dike ) keeps the cosmic order. This concept of returning to
18426-409: The existence of a cosmic order; and his ideas on this used the old language of myths which ascribed divine control to various spheres of reality. This was a common practice for the Greek philosophers in a society which saw gods everywhere, and therefore could fit their ideas into a tolerably elastic system. Some scholars see a gap between the existing mythical and the new rational way of thought which
18592-573: The first to introduce this name of the material cause. He says it is neither water nor any other of the so-called elements, but a substance different from them which is infinite" [apeiron, or ἄπειρον ] "from which arise all the heavens and the worlds within them.—Phys, Op. fr. 2 (Dox. p. 476; R. P. 16)." Burnet's quote from the "First Book" is his translation of Theophrastos' Physic Opinion fragment 2 as it appears in p. 476 of Historia Philosophiae Graecae (1898) by Ritter and Preller and section 16 of Doxographi Graeci (1879) by Diels. By ascribing
18758-612: The form of testable hypotheses and predictions about the universe. Modern science is typically divided into two or three major branches: the natural sciences (e.g., physics , chemistry , and biology ), which study the physical world ; and the behavioural sciences (e.g., economics , psychology , and sociology ), which study individuals and societies. The formal sciences (e.g., logic , mathematics, and theoretical computer science ), which study formal systems governed by axioms and rules, are sometimes described as being sciences as well; however, they are often regarded as
18924-411: The four elements. Origin, then, must be something else unlimited in its source, that could create without experiencing decay, so that genesis would never stop. The Refutation attributed to Hippolytus of Rome (I, 5), and the later 6th century Byzantine philosopher Simplicius of Cilicia , attribute to Anaximander the earliest use of the word apeiron ( ἄπειρον "infinite" or "limitless") to designate
19090-462: The free energy of the universe is seen as constantly declining: the entropy of a closed universe increases over time. The electromagnetic theory was established in the 19th century by the works of Hans Christian Ørsted , André-Marie Ampère , Michael Faraday , James Clerk Maxwell , Oliver Heaviside , and Heinrich Hertz . The new theory raised questions that could not easily be answered using Newton's framework. The discovery of X-rays inspired
19256-425: The frequent use of precision instruments; the emergence of terms such as "biologist", "physicist", and "scientist"; an increased professionalisation of those studying nature; scientists gaining cultural authority over many dimensions of society; the industrialisation of numerous countries; the thriving of popular science writings; and the emergence of science journals. During the late 19th century, psychology emerged as
19422-530: The genes of the human genome . The first induced pluripotent human stem cells were made in 2006, allowing adult cells to be transformed into stem cells and turn into any cell type found in the body. With the affirmation of the Higgs boson discovery in 2013, the last particle predicted by the Standard Model of particle physics was found. In 2015, gravitational waves , predicted by general relativity
19588-536: The geographer Eratosthenes , Anaximander was the first to publish a map of the world . The map probably inspired the Greek historian Hecataeus of Miletus to draw a more accurate version. Strabo viewed both as the first geographers after Homer . Maps were produced in ancient times, also notably in Egypt , Lydia , the Middle East , and Babylon . Only some small examples survived until today. The unique example of
19754-473: The gnomon itself cannot be attributed to Anaximander because its use, as well as the division of days into twelve parts, came from the Babylonians . It is they, according to Herodotus ' Histories (II, 109), who gave the Greeks the art of time measurement. It is likely that he was not the first to determine the solstices, because no calculation is necessary. On the other hand, equinoxes do not correspond to
19920-431: The heliocentric model. The printing press was widely used to publish scholarly arguments, including some that disagreed widely with contemporary ideas of nature. Francis Bacon and René Descartes published philosophical arguments in favour of a new type of non-Aristotelian science. Bacon emphasised the importance of experiment over contemplation, questioned the Aristotelian concepts of formal and final cause, promoted
20086-562: The history of early philosophical science was Socrates ' example of applying philosophy to the study of human matters, including human nature, the nature of political communities, and human knowledge itself. The Socratic method as documented by Plato 's dialogues is a dialectic method of hypothesis elimination: better hypotheses are found by steadily identifying and eliminating those that lead to contradictions. The Socratic method searches for general commonly-held truths that shape beliefs and scrutinises them for consistency. Socrates criticised
20252-420: The idea that humans had to spend part of this transition inside the mouths of big fish to protect themselves from the Earth's climate until they could come out in open air and lose their scales. He thought that, considering humans' extended infancy, we could not have survived in the primeval world in the same manner we do presently. Both Strabo and Agathemerus (later Greek geographers) claim that, according to
20418-557: The idea that science should study the laws of nature and the improvement of all human life. Descartes emphasised individual thought and argued that mathematics rather than geometry should be used to study nature. At the start of the Age of Enlightenment , Isaac Newton formed the foundation of classical mechanics by his Philosophiæ Naturalis Principia Mathematica , greatly influencing future physicists. Gottfried Wilhelm Leibniz incorporated terms from Aristotelian physics , now used in
20584-425: The idea that the elementary particles of quantum mechanics are to be seen as different manifestations, different quantum states, of one and the same "primordial substance,"' proposed that this primordial substance be called apeiron . Anaximander was the first to conceive a mechanical model of the world. In his model, the Earth floats very still in the centre of the infinite, not supported by anything. It remains "in
20750-482: The indefinite (or apeiron ) was the source of all things, led Greek philosophy to a new level of conceptual abstraction . His knowledge of geometry allowed him to introduce the gnomon in Greece. He created a map of the world that contributed greatly to the advancement of geography . Anaximander was involved in the politics of Miletus and was sent as a leader to one of its colonies. Anaximander, son of Praxiades,
20916-419: The intervention of elements, rather than to divine causes. In his system, thunder results from the shock of clouds hitting each other; the loudness of the sound is proportionate with that of the shock. Thunder without lightning is the result of the wind being too weak to emit any flame, but strong enough to produce a sound. A flash of lightning without thunder is a jolt of the air that disperses and falls, allowing
21082-514: The late 20th century active recruitment of women and elimination of sex discrimination greatly increased the number of women scientists, but large gender disparities remained in some fields. The discovery of the cosmic microwave background in 1964 led to a rejection of the steady-state model of the universe in favour of the Big Bang theory of Georges Lemaître . The century saw fundamental changes within science disciplines. Evolution became
21248-494: The lunar wheel, whose fire was less intense, eighteen (or nineteen) times. Its hole could change shape, thus explaining lunar phases . The stars and the planets, located closer, followed the same model. Anaximander was the first astronomer to consider the Sun as a huge mass, and consequently, to realize how far from Earth it might be, and the first to present a system where the celestial bodies turned at different distances. Furthermore, according to Diogenes Laertius (II, 2), he built
21414-461: The measurement of time and associates him with the introduction in Greece of the gnomon. In Lacedaemon , he participated in the construction, or at least in the adjustment, of sundials to indicate solstices and equinoxes . Indeed, a gnomon required adjustments from a place to another because of the difference in latitude . In his time, the gnomon was simply a vertical pillar or rod mounted on
21580-512: The middle point between the positions during solstices, as the Babylonians thought. As the Suda seems to suggest, it is very likely that with his knowledge of geometry, he became the first Greek to determine accurately the equinoxes. In his philosophical work De Divinatione (I, 50, 112), Cicero states that Anaximander convinced the inhabitants of Lacedaemon to abandon their city and spend
21746-626: The most important medical center of the ancient world. The House of Wisdom was established in Abbasid -era Baghdad , Iraq , where the Islamic study of Aristotelianism flourished until the Mongol invasions in the 13th century. Ibn al-Haytham , better known as Alhazen, used controlled experiments in his optical study. Avicenna 's compilation of the Canon of Medicine , a medical encyclopaedia,
21912-451: The mythical tradition had called cosmic harmony. In the old cosmogonies – Hesiod (8th – 7th century BC) and Pherecydes (6th century BC) – Zeus establishes his order in the world by destroying the powers which were threatening this harmony (the Titans ). Anaximander claimed that the cosmic order is not monarchic but geometric , and that this causes the equilibrium of
22078-506: The night in the country with their weapons because an earthquake was near. The city collapsed when the top of the Taygetus split like the stern of a ship. Pliny the Elder also mentions this anecdote (II, 81), suggesting that it came from an "admirable inspiration", as opposed to Cicero, who did not associate the prediction with divination. Science Science is a systematic discipline that builds and organises knowledge in
22244-672: The notion that the only function of the eye is perception, and shifted the main focus in optics from the eye to the propagation of light. Kepler is best known, however, for improving Copernicus' heliocentric model through the discovery of Kepler's laws of planetary motion . Kepler did not reject Aristotelian metaphysics and described his work as a search for the Harmony of the Spheres . Galileo had made significant contributions to astronomy, physics and engineering. However, he became persecuted after Pope Urban VIII sentenced him for writing about
22410-401: The older type of study of physics as too purely speculative and lacking in self-criticism . Aristotle in the 4th century BCE created a systematic program of teleological philosophy. In the 3rd century BCE, Greek astronomer Aristarchus of Samos was the first to propose a heliocentric model of the universe, with the Sun at the centre and all the planets orbiting it. Aristarchus's model
22576-467: The opposites found in nature — for example, water can only be wet, never dry — and therefore cannot be the one primary substance; nor could any of the other candidates. He postulated the apeiron as a substance that, although not directly perceptible to us, could explain the opposites he saw around him. "If Thales had been right in saying that water was the fundamental reality, it would not be easy to see how anything else could ever have existed. One side of
22742-649: The opposition, the cold and moist, would have had its way unchecked, and the warm and dry would have been driven from the field long ago. We must, then, have something not itself one of the warring opposites, something more primitive, out of which they arise, and into which they once more pass away." Anaximander explains how the four elements of ancient physics ( air , earth , water and fire ) are formed, and how Earth and terrestrial beings are formed through their interactions. Unlike other Pre-Socratics, he never defines this principle precisely, and it has generally been understood (e.g., by Aristotle and by Saint Augustine ) as
22908-430: The original principle. He was the first philosopher to employ, in a philosophical context, the term archē ( ἀρχή ), which until then had meant beginning or origin. "That Anaximander called this something by the name of Φύσις is the natural interpretation of what Theophrastos says; the current statement that the term ἀρχή was introduced by him appears to be due to a misunderstanding." And "Hippolytos, however,
23074-541: The other ethnic groups), situated between the river and the town of that name, was occupied by Lithuania in the Klaipėda Revolt of 1923. Some proposals for the partition of the Ottoman Empire envisaged international zones at Istanbul /Constantinople or the wider Turkish straits , and possibly also at İzmir /Smyrna. Although the allies of World War I occupied both after the 1918 Armistice of Mudros ,
23240-611: The past, science was a synonym for "knowledge" or "study", in keeping with its Latin origin. A person who conducted scientific research was called a "natural philosopher" or "man of science". In 1834, William Whewell introduced the term scientist in a review of Mary Somerville 's book On the Connexion of the Physical Sciences , crediting it to "some ingenious gentleman" (possibly himself). Science has no single origin. Rather, systematic methods emerged gradually over
23406-635: The point of view of his own system, these may be justified; but we shall have to remember in other cases that, when he seems to attribute an idea to some earlier thinker, we are not bound to take what he says in an historical sense." For Anaximander, the principle of things, the constituent of all substances, is nothing determined and not an element such as water in Thales' view. Neither is it something halfway between air and water, or between air and fire, thicker than air and fire, or more subtle than water and earth. Anaximander argues that water cannot embrace all of
23572-457: The primary substance could be one of these particular things. His argument seems to be preserved by Aristotle, who has the following passage in his discussion of the Infinite: "Further, there cannot be a single, simple body which is infinite, either, as some hold, one distinct from the elements, which they then derive from it, or without this qualification. For there are some who make this. (i.e.
23738-573: The public's attention and caused the onset of environmental studies . During this period scientific experimentation became increasingly larger in scale and funding . The extensive technological innovation stimulated by World War I , World War II , and the Cold War led to competitions between global powers , such as the Space Race and nuclear arms race . Substantial international collaborations were also made, despite armed conflicts. In
23904-426: The resources to defend themselves against incursions by larger states (such as Roman conquest of Greece). Thus they inevitably gave way to larger organisations of society, including the empire and the nation-state . In the Holy Roman Empire (962–1806) over 80 Free Imperial Cities came to enjoy considerable autonomy in the Middle Ages and in early modern times, buttressed legally by international law following
24070-401: The results might be. Taken in its entirety, the scientific method allows for highly creative problem solving while minimising the effects of subjective and confirmation bias . Intersubjective verifiability , the ability to reach a consensus and reproduce results, is fundamental to the creation of all scientific knowledge. City-state List of forms of government A city-state
24236-411: The rise of nation states worldwide, there remains some disagreement on the number of modern city-states that still exist; Singapore , Monaco and Vatican City are the candidates most commonly discussed. Out of these, Singapore is the largest and most populous, and is generally considered to be the last real city-state left in the world, with full sovereignty, international borders, its own currency ,
24402-501: The same place because of its indifference", a point of view that Aristotle considered ingenious, in On the Heavens . Its curious shape is that of a cylinder with a height one-third of its diameter. The flat top forms the inhabited world. Carlo Rovelli suggests that Anaximander took the idea of the Earth's shape as a floating disk from Thales , who had imagined the Earth floating in water,
24568-514: The sea long ago, born trapped in a spiny bark, but as they got older, the bark would dry up and animals would be able to break it. The 3rd century Roman writer Censorinus reports: Anaximander of Miletus considered that from warmed up water and earth emerged either fish or entirely fishlike animals. Inside these animals, men took form and embryos were held prisoners until puberty; only then, after these animals burst open, could men and women come out, now able to feed themselves. Anaximander put forward
24734-443: The seasons. The doxographer and theologian Aetius attributes to Pythagoras the exact measurement of the obliquity. According to Simplicius, Anaximander already speculated on the plurality of worlds , similar to atomists Leucippus and Democritus , and later philosopher Epicurus . These thinkers supposed that worlds appeared and disappeared for a while, and that some were born when others perished. They claimed that this movement
24900-453: The seminal encyclopaedia Natural History . Positional notation for representing numbers likely emerged between the 3rd and 5th centuries CE along Indian trade routes. This numeral system made efficient arithmetic operations more accessible and would eventually become standard for mathematics worldwide. Due to the collapse of the Western Roman Empire , the 5th century saw an intellectual decline and knowledge of Greek conceptions of
25066-525: The sixteenth century Nicolaus Copernicus formulated a heliocentric model of the Solar System, stating that the planets revolve around the Sun, instead of the geocentric model where the planets and the Sun revolve around the Earth. This was based on a theorem that the orbital periods of the planets are longer as their orbs are farther from the centre of motion, which he found not to agree with Ptolemy's model. Johannes Kepler and others challenged
25232-405: The social sciences, there are many competing theoretical perspectives, many of which are extended through competing research programs such as the functionalists , conflict theorists , and interactionists in sociology. Due to the limitations of conducting controlled experiments involving large groups of individuals or complex situations, social scientists may adopt other research methods such as
25398-412: The sparsely-populated Éislek forest of northern Luxembourg). Occasionally, microstates with high population densities such as San Marino are cited as city-states, despite lacking a large urban centre. Some cities or urban areas, while not sovereign states, may nevertheless be constituent states of a federation , or enjoy a high degree of autonomy. As such, they function as "city-states" within
25564-651: The stars were nearest to the Earth, then the Moon, and the Sun farthest away. His scheme is compatible with the Indo-Iranian philosophical traditions contained in the Iranian Avesta and the Indian Upanishads . At the origin, after the separation of hot and cold, a ball of flame appeared that surrounded Earth like bark on a tree. This ball broke apart to form the rest of the Universe. It resembled
25730-534: The term balangay , which refers to a plank boat widely used by various cultures of the Philippine archipelago prior to the arrival of European colonizers. The Free City of Danzig was a semi- autonomous city-state that existed between 1920 and 1939, consisting of the Baltic Sea port of Danzig (now Gdańsk , Poland ) and nearly 200 towns in the surrounding areas. It was created on 15 November 1920 under
25896-425: The terms of Article 100 (Section XI of Part III) of the 1919 Treaty of Versailles after the end of World War I . After a prolonged period where the city of Fiume enjoyed considerable autonomy under Habsburg rule (see Corpus separatum (Fiume) ), The Free State of Fiume was proclaimed as a fully independent free state which existed between 1920 and 1924. Its territory of 28 km (11 sq mi) comprised
26062-476: The time. Before the invention or discovery of the concept of phusis or nature by the pre-Socratic philosophers , the same words tend to be used to describe the natural "way" in which a plant grows, and the "way" in which, for example, one tribe worships a particular god. For this reason, it is claimed that these men were the first philosophers in the strict sense and the first to clearly distinguish "nature" and "convention". The early Greek philosophers of
26228-430: The universe, with a particular interest in its origins , claiming that nature is ruled by laws, just like human societies, and anything that disturbs the balance of nature does not last long. Like many thinkers of his time, Anaximander's philosophy included contributions to many disciplines. In astronomy , he attempted to describe the mechanics of celestial bodies in relation to the Earth. In physics, his postulation that
26394-484: The world deteriorated in Western Europe. During the period, Latin encyclopaedists such as Isidore of Seville preserved the majority of general ancient knowledge. In contrast, because the Byzantine Empire resisted attacks from invaders, they were able to preserve and improve prior learning. John Philoponus , a Byzantine scholar in the 500s, started to question Aristotle's teaching of physics, introducing
26560-724: Was an independent territory situated in Central Europe between northern Italy and Yugoslavia, facing the north part of the Adriatic Sea, under direct responsibility of the United Nations Security Council in the aftermath of World War II, from 1947 to 1954. The UN attempted to make the Free Territory of Trieste into a city state, but it never gained real independence and in 1954 its territory was divided between Italy and Yugoslavia . In
26726-635: Was approximately 373 km (144 sq mi). It was at first under the joint administration of France, Spain, and the United Kingdom, plus later Portugal, Italy, Belgium, the Netherlands, Sweden, and the United States. The international zone was initially attached to Morocco. It then became a French-Spanish protectorate from 1923 until 29 October 1956, when it was reintegrated into the state of Morocco. The Free Territory of Trieste
26892-434: Was born in the third year of the 42nd Olympiad (610 BC). According to Apollodorus of Athens , Greek grammarian of the 2nd century BC, he was sixty-four years old during the second year of the 58th Olympiad (547–546 BC) and died shortly afterwards. Establishing a timeline of his work is impossible, since no document provides chronological references. Themistius , a 4th-century Byzantine rhetorician , mentions that he
27058-442: Was eternal, "for without movement, there can be no generation, no destruction". In addition to Simplicius, Hippolytus reports Anaximander's claim that from the infinite comes the principle of beings, which themselves come from the heavens and the worlds (several doxographers use the plural when this philosopher is referring to the worlds within, which are often infinite in quantity). Cicero writes that he attributes different gods to
27224-409: Was familiar to the Greek mind from remote antiquity in the religious concept of immortality, and Anaximander's description was in terms appropriate to this conception. This archē is called "eternal and ageless". (Hippolytus (?), Refutation , I,6,I;DK B2) " Aristotle puts things in his own way regardless of historical considerations, and it is difficult to see that it is more of an anachronism to call
27390-508: Was the "first of the known Greeks to publish a written document on nature." Therefore, his texts would be amongst the earliest written in prose , at least in the Western world. By the time of Plato , his philosophy was almost forgotten, and Aristotle , his successor Theophrastus , and a few doxographers provide us with the little information that remains. However, we know from Aristotle that Thales, also from Miletus, precedes Anaximander. It
27556-459: Was widely rejected because it was believed to violate the laws of physics, while Ptolemy's Almagest , which contains a geocentric description of the Solar System , was accepted through the early Renaissance instead. The inventor and mathematician Archimedes of Syracuse made major contributions to the beginnings of calculus . Pliny the Elder was a Roman writer and polymath, who wrote
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