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68-645: Rudolf Carnap ( / ˈ k ɑːr n æ p / ; German: [ˈkaʁnaːp] ; 18 May 1891 – 14 September 1970) was a German-language philosopher who was active in Europe before 1935 and in the United States thereafter. He was a major member of the Vienna Circle and an advocate of logical positivism . Carnap's father had risen from being a poor ribbon-weaver to be the owner of a ribbon-making factory. His mother came from an academic family; her father

136-400: A German Protestant, but he nevertheless suffered problems. He thereupon emigrated to Turkey , where he headed the department of philosophy at Istanbul University . He introduced interdisciplinary seminars and courses on scientific subjects, and in 1935 he published The Theory of Probability . In 1938, with the help of Charles W. Morris , Reichenbach moved to the United States to take up

204-461: A bibliography of closely related authors. In 1930 he and Rudolf Carnap began editing the journal Erkenntnis . When Adolf Hitler became Chancellor of Germany in 1933, Reichenbach was immediately dismissed from his appointment at the University of Berlin under the government's so called "Race Laws" due to his Jewish ancestry. Reichenbach himself did not practise Judaism, and his mother was

272-445: A bridge between the different disciplines that are geometry, physics and philosophy. For Carnap thought that in many instances those disciplines use the same concepts, but with totally different meanings. The main objective of Carnap's dissertation was to show that the inconsistencies between theories concerning space only existed because philosophers, as well as mathematicians and scientists, were talking about different things while using

340-540: A doctoral thesis called Der Raum: Ein Beitrag zur Wissenschaftslehre ( Space: A Contribution to the Theory of Science , 1922). In this dissertation on the philosophical foundations of geometry , Carnap tried to provide a logical basis for a theory of space and time in physics . Considering that Carnap was interested in pure mathematics , natural sciences and philosophy, his dissertation can be seen as an attempt to build

408-484: A full theory of the logical structure of scientific language. This theory, exposed in Logische Syntax der Sprache (1934; translated as The Logical Syntax of Language , 1937) gives the foundations to his idea that scientific language has a specific formal structure and that its signs are governed by the rules of deductive logic. Moreover, the theory of logical syntax expounds a method with which one can talk about

476-455: A fundamental arrangement where concepts can be reduced and converted to other basic ones. Carnap explains that a concept can be reduced to another when all sentences containing the first concept can be transformed into sentences containing the other. In other words, every scientific sentence should be translatable into another sentence such that the original terms have the same reference as the translated terms. Most significantly, Carnap argues that

544-700: A heart attack on April 9, 1953. He was living in Los Angeles at the time, and had been working on problems in the philosophy of time and on the nature of scientific laws . As part of this he proposed a three part model of time in language, involving speech time, event time and — critically — reference time, which has been used by linguists since for describing tenses . This work resulted in two books published posthumously: The Direction of Time and Nomological Statements and Admissible Operations . Hans Reichenbach manuscripts, photographs, lectures, correspondence, drawings and other related materials are maintained by

612-680: A kindred spirit when he met Hans Reichenbach at a 1923 conference. Reichenbach introduced Carnap to Moritz Schlick , a professor at the University of Vienna who offered Carnap a position in his department, which Carnap accepted in 1926. Carnap thereupon joined an informal group of Viennese intellectuals that came to be known as the Vienna Circle , directed largely by Schlick and including Hans Hahn , Friedrich Waismann , Otto Neurath , and Herbert Feigl , with occasional visits by Hahn's student Kurt Gödel . When Wittgenstein visited Vienna, Carnap would meet with him. He (with Hahn and Neurath) wrote

680-407: A language: it is a formal meta-theory about the pure forms of language. In the end, because Carnap argues that philosophy aims at the logical analysis of the language of science and thus is the logic of science, the theory of the logical syntax can be considered as a definite language and a conceptual framework for philosophy. The logical syntax of language is a formal theory. It is not concerned with

748-570: A priori . He subsequently published Axiomatization of the Theory of Relativity (1924), From Copernicus to Einstein (1927) and The Philosophy of Space and Time (1928), the last stating the logical positivist view on the theory of relativity. Reichenbach distinguishes between axioms of connection and of coordination. Axioms of connection are those scientific laws which specify specific relations between specific physical things, like Maxwell’s equations . They describe empirical laws. Axioms of coordination are those laws which describe all things and are

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816-517: A priori , like Euclidean geometry and are “general rules according to which the connections take place”. For example the axioms of connection of gravitational equations are based upon the axioms of coordination of arithmetic . Another distinction of his was between the 'context of discovery' and 'context of justification'. The way scientists come up with ideas is not always the same as the way they justify them, and so as separate objects of study Reichenbach distinguished between them. In 1926, with

884-652: A professorship at the University of California, Los Angeles in its Philosophy Department . Reichenbach helped establish UCLA as a leading philosophy department in the United States in the post-war period. Carl Hempel , Hilary Putnam , and Wesley Salmon were perhaps his most prominent students. During his time there, he published several of his most notable books, including Philosophic Foundations of Quantum Mechanics in 1944, Elements of Symbolic Logic in 1947, and The Rise of Scientific Philosophy (his most popular book) in 1951. Reichenbach died unexpectedly of

952-476: A sentence can be said to follow, or to be the consequence, of another sentence. The definitions included in the calculus state the conditions under which a sentence can be considered of a certain type and how those sentences can be transformed. We can see the logical syntax as a method of formal transformation, i.e. a method for calculating and reasoning with symbols. Finally, Carnap introduces his well known "principle of tolerance." This principle suggests that there

1020-423: A sophisticated device introduced by Carnap to dismiss any form of dogmatism in philosophy. After having considered problems in semantics, i.e. the theory of the concepts of meaning and truth ( Foundations of Logic and Mathematics , 1939; Introduction to Semantics , 1942; Formalization of Logic , 1943), Carnap turned his attention to the subject of probability and inductive logic . His views on that subject are for

1088-466: A specific criterion of meaning, namely the Wittgensteinian principle of verifiability. Indeed, he requires, as a precondition of meaningfulness, that all sentences be verifiable, which implies that a sentence is meaningful only if there is a way to verify if it is true or false. To verify a sentence, one needs to expound the empirical conditions and circumstances that would establish the truth of

1156-620: A stint at the Institute for Advanced Study in Princeton (1952–1954), he joined the UCLA Department of Philosophy in 1954, Hans Reichenbach having died the previous year. He had earlier refused an offer of a similar job at the University of California, Berkeley , because accepting that position required that he sign a loyalty oath , a practice to which he was opposed on principle. While at UCLA, he wrote on scientific knowledge,

1224-407: A theory of induction should explain how, by pure logical analysis, we can ascertain that certain evidence establishes a degree of confirmation strong enough to confirm a given hypothesis. Carnap was convinced that there was a logical as well as an empirical dimension in science. He believed that one had to isolate the experiential elements from the logical elements of a given body of knowledge. Hence,

1292-458: Is interesting to note that it is in this dissertation that the main themes of Carnap's philosophy appear, most importantly the idea that many philosophical contradictions appear because of a misuse of language, and a stress on the importance of distinguishing formal and material modes of speech. From 1922 to 1925, Carnap worked on a book which became one of his major works, namely Der logische Aufbau der Welt (translated as The Logical Structure of

1360-458: Is logical and deals with the degree to which a given hypothesis is confirmed by a piece of evidence. It is the degree of confirmation . The second is empirical, and relates to the long run rate of one observable feature of nature relative to another. It is the relative frequency. Statements belonging to the second concepts are about reality and describe states of affairs. They are empirical and, therefore, must be based on experimental procedures and

1428-410: Is made of meaningless discussions of pseudo-problems. For Carnap, a pseudo-problem is a philosophical question which, on the surface, handles concepts that refer to our world while, in fact, these concepts do not actually denote real and attested objects. In other words, these pseudo-problems concern statements that do not, in any way, have empirical implications. They do not refer to states of affairs and

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1496-404: Is no moral in logic. When it comes to using a language, there is no good or bad, fundamentally true or false. In this perspective, the philosopher's task is not to bring authoritative interdicts prohibiting the use of certain concepts. In contrast, philosophers should seek general agreements over the relevance of certain logical devices. According to Carnap, those agreements are possible only through

1564-422: Is said be more or less likely to be the case. In fact, Carnap claims that the problem of induction is a matter of finding a precise explanation of the logical relation that holds between a hypothesis and the evidence that supports it. An inductive logic is thus based on the idea that probability is a logical relation between two types of statements: the hypothesis (conclusion) and the premises (evidence). Accordingly,

1632-399: Is the correct language; what matters is agreeing over which language best suits a particular purpose. Carnap explains that the choice of a language should be guided according to the security it provides against logical inconsistency. Furthermore, practical elements like simplicity and fruitfulness in certain tasks influence the choice of a language. Clearly enough, the principle of tolerance was

1700-448: Is the only source of knowledge of the external world, i.e. the world outside the realm of human perception. According to Carnap, philosophical propositions are statements about the language of science; they aren't true or false, but merely consist of definitions and conventions about the use of certain concepts. In contrast, scientific propositions are factual statements about the external reality. They are meaningful because they are based on

1768-825: The Executive Committee of the Communist International . Hans wrote the Platform of the Socialist Student Party, Berlin which was published in 1918. The party had remained clandestine until the November Revolution when it was formally founded with him as chairman. He also worked with Karl Wittfogel , Alexander Schwab and his other brother Herman at this time. In 1919 his text Student und Sozialismus: mit einem Anhang: Programm der Sozialistischen Studentenpartei

1836-555: The Hochschule für Technik Stuttgart , and physics , mathematics and philosophy at various universities, including Berlin , Erlangen , Göttingen and Munich . Among his teachers were Ernst Cassirer , David Hilbert , Max Planck , Max Born , Edmund Husserl , and Arnold Sommerfeld . Reichenbach was active in youth movements and student organizations. He joined the Freistudentenschaft in 1910. He attended

1904-639: The Technische Hochschule Stuttgart as Privatdozent . In the same year, he published his first book (which was accepted as his habilitation in physics at the Technische Hochschule Stuttgart) on the philosophical implications of the theory of relativity , The Theory of Relativity and A Priori Knowledge ( Relativitätstheorie und Erkenntnis Apriori ), which criticized the Kantian notion of synthetic

1972-529: The University of Jena , intending to write a thesis in physics . He also intently studied Immanuel Kant 's Critique of Pure Reason during a course taught by Bruno Bauch , and was one of very few students to attend Gottlob Frege 's courses in mathematical logic . During his university years he became enthralled with the German Youth Movement . While Carnap held moral and political opposition to World War I , he felt obligated to serve in

2040-480: The analytic–synthetic distinction , and the verification principle . His writings on thermodynamics and on the foundations of probability and inductive logic , were published posthumously as Carnap (1971, 1977, 1980). Carnap taught himself Esperanto when he was 14 years of age, and remained sympathetic to it (Carnap 1963). He later attended the World Congress of Esperanto in 1908 and 1922, and employed

2108-583: The 1929 manifesto of the Circle, and (with Hans Reichenbach ) initiated the philosophy journal Erkenntnis . In February 1930 Alfred Tarski lectured in Vienna, and during November 1930 Carnap visited Warsaw. On these occasions he learned much about Tarski's model theoretic method of semantics . Rose Rand , another philosopher in the Vienna Circle, noted, "Carnap's conception of semantics starts from

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2176-469: The German army. After three years of service, he was given permission to study physics at the University of Berlin , 1917–18, where Albert Einstein was a newly appointed professor. Carnap then attended the University of Jena , where he wrote a thesis defining an axiomatic theory of space and time . The physics department said it was too philosophical, and Bruno Bauch of the philosophy department said it

2244-681: The Mathematical Representation of Reality ) and supervised by Paul Hensel and Max Noether , was published in 1916. Reichenbach served during World War I on the Russian front, in the German army radio troops. In 1917 he was removed from active duty, due to an illness, and returned to Berlin . While working as a physicist and engineer, Reichenbach attended Albert Einstein 's lectures on the theory of relativity in Berlin from 1917 to 1920. In 1920 Reichenbach began teaching at

2312-708: The Philosophical Archives at the University of Konstanz in Germany. *For a more complete listing see Carnap’s Works in "Linked bibliography ". German-language philosopher This is a list of German-language philosophers . The following individuals have written philosophical texts in the German language . Many are categorized as German philosophers or Austrian philosophers , but some are neither German nor Austrian by ethnicity or nationality . Each one, however, satisfies at least one of

2380-542: The University of Pittsburgh Library System's Archives and Special Collections. Digitized contents include: Much material is written in an older German shorthand, the Stolze-Schrey system. He employed this writing system extensively beginning in his student days. Some of the content has been digitized and is available through the finding aid . The University of California also maintains a collection of Rudolf Carnap Papers. Microfilm copies of his papers are maintained by

2448-428: The University of Pittsburgh, with subsequent further accessions. Documents that contain financial, medical, and personal information are restricted. These were written over his entire life and career. Carnap used the mail regularly to discuss philosophical problems with hundreds of others. The most notable were: Herbert Feigl, Carl Gustav Hempel, Felix Kaufmann, Otto Neurath, and Moritz Schlick. Photographs are also part of

2516-587: The World , 1967), which was accepted in 1926 as his habilitation thesis at the University of Vienna and published as a book in 1928. That achievement has become a landmark in modern epistemology and can be read as a forceful statement of the philosophical thesis of logical positivism. Indeed, the Aufbau suggests that epistemology, based on modern symbolic logic , is concerned with the logical analysis of scientific propositions, while science itself, based on experience,

2584-453: The basic function of these rules is to provide the principles to safeguard coherence, to avoid contradictions and to deduce justified conclusions. Carnap sees language as a calculus. This calculus is a systematic arrangement of symbols and relations. The symbols of the language are organized according to the class that they belong to---and it is through their combination that we can form sentences. The relations are different conditions under which

2652-597: The basis given in Tarski's work but a distinction is made between logical and non-logical constants and between logical and factual truth... At the same time he worked with the concepts of intension and extension and took these two concepts as a basis of a new method of semantics." In 1931, Carnap was appointed Professor at the German University of Prague . In 1933, W. V. Quine met Carnap in Prague and discussed

2720-461: The basis of a few fundamental concepts. From 1928 to 1934, Carnap published papers ( Scheinprobleme in der Philosophie , 1928; translated as Pseudoproblems in Philosophy , 1967) in which he appears overtly skeptical of the aims and methods of metaphysics , i.e. the traditional philosophy that finds its roots in mythical and religious thought. Indeed, he discusses how, in many cases, metaphysics

2788-404: The basis of this system is psychological. Its content is the "immediately given", which is made of basic elements, namely perceptual experiences. These basic elements consist of conscious psychological states of a single human subject. In the end, Carnap argues that his constitutional project demonstrates the possibility of defining and uniting all scientific concepts in a single conceptual system on

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2856-599: The collection and were taken throughout his life. Family pictures and photographs of his peers and colleagues are also stored in the collection. Some of the correspondence is considered notable and consist of his student notes, his seminars with Frege, (describing the Begriffsschrift and the logic in mathematics). Carnap's notes from Russell's seminar in Chicago, and notes he took from discussions with Tarski, Heisenberg, Quine, Hempel, Gödel, and Jeffrey are also part of

2924-405: The concepts, methods and justificatory processes that exist in science. Carnap believed that the difficulty with traditional philosophy lay in the use of concepts that are not useful for science. For Carnap, the scientific legitimacy of these concepts was doubtful, because the sentences containing them do not express facts. Indeed, a logical analysis of those sentences proves that they do not convey

2992-417: The contextualized meaning or the truth-value of sentences. In contrast, it considers the general structure of a given language and explores the different structural relations that connect the elements of that language. Hence, by explaining the different operations that allow specific transformations within the language, the theory is a systematic exposition of the rules that operate within that language. In fact,

3060-483: The detailed presentation of the meaning and use of the expressions of a language. In other words, Carnap believes that every logical language is correct only if this language is supported by exact definitions and not by philosophical presumptions. Carnap embraces a formal conventionalism. That implies that formal languages are constructed and that everyone is free to choose the language it finds more suited to his purpose. There should not be any controversy over which language

3128-417: The empirical concept of frequency used in statistics to describe the general features of certain phenomena can be distinguished from the analytical concepts of probability logic that merely describe logical relations between sentences. For Carnap, the statistical and the logical concepts must be investigated separately. Having insisted on this distinction, Carnap defines two concepts of probability. The first one

3196-603: The following criteria: Reference works such as the following discuss the lives and summarize the works of notable philosophers: Hans Reichenbach In 1930, Reichenbach and Rudolf Carnap became editors of the journal Erkenntnis . He also made lasting contributions to the study of empiricism based on a theory of probability ; the logic and the philosophy of mathematics ; space , time , and relativity theory ; analysis of probabilistic reasoning ; and quantum mechanics . In 1951, he authored The Rise of Scientific Philosophy , his most popular book. Hans

3264-538: The founding conference of the Freideutsche Jugend umbrella group at Hoher Meissner in 1913. He published articles about the university reform, the freedom of research, and against anti-Semitic infiltrations in student organizations. His older brother Bernard shared in this activism and went on to become a member of the Communist Workers' Party of Germany , representing this organisation on

3332-706: The help of Albert Einstein, Max Planck and Max von Laue , Reichenbach became assistant professor in the physics department of the University of Berlin. He gained notice for his methods of teaching, as he was easily approached and his courses were open to discussion and debate. This was highly unusual at the time, although the practice is nowadays a common one. In 1928, Reichenbach founded the so-called " Berlin Circle " ( German : Die Gesellschaft für empirische Philosophie ; English: Society for Empirical Philosophy ). Among its members were Carl Gustav Hempel , Richard von Mises , David Hilbert and Kurt Grelling . The Vienna Circle manifesto lists 30 of Reichenbach's publications in

3400-488: The language while traveling. Carnap had four children by his first marriage to Elizabeth Schöndube, which ended in divorce in 1929. He married his second wife, Elizabeth Ina Stöger, in 1933. Ina committed suicide in 1964. Below is an examination of the main topics in the evolution of the philosophy of Rudolf Carnap. It is not exhaustive, but it outlines Carnap's main works and contributions to modern epistemology and philosophy of logic . From 1919 to 1921, Carnap worked on

3468-469: The latter's work at some length. Thus began the lifelong mutual respect these two men shared, one that survived Quine's eventual forceful disagreements with a number of Carnap's philosophical conclusions. Carnap, whose socialist and pacifist beliefs put him at risk in Nazi Germany , emigrated to the United States in 1935 and became a naturalized citizen in 1941. Meanwhile, back in Vienna, Schlick

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3536-443: The meaning of states of affairs. In other words, these sentences are meaningless. Carnap explains that to be meaningful, a sentence should be factual. It can be so, for one thing, by being based on experience, i.e. by being formulated with words relating to direct observations. For another, a sentence is factual if one can clearly state what are the observations that could confirm or disconfirm that sentence. After all, Carnap presupposes

3604-490: The most part exposed in Logical foundations of probability (1950) where Carnap aims to give a sound logical interpretation of probability. Carnap thought that according to certain conditions, the concept of probability had to be interpreted as a purely logical concept. In this view, probability is a basic concept anchored in all inductive inferences, whereby the conclusion of every inference that holds without deductive necessity

3672-479: The notions of symbolic logic. Accordingly, the purpose of this constitutional system is to identify and discern different classes of scientific concepts and to specify the logical relations that link them. In the Aufbau, concepts are taken to denote objects, relations, properties, classes and states. Carnap argues that all concepts must be ranked over a hierarchy. In that hierarchy, all concepts are organized according to

3740-427: The observation of relevant facts. On the contrary, statements belonging to the first concept do not say anything about facts. Their meaning can be grasped solely with an analysis of the signs they contain. They are analytical sentences, i.e. true by virtue of their logical meaning. Even though these sentences could refer to states of affairs, their meaning is given by the symbols and relations they contain. In other words,

3808-420: The only members of the department committed to the primacy of science and logic. (Their Chicago colleagues included Richard McKeon , Charles Hartshorne , and Manley Thompson.) Carnap's years at Chicago were nonetheless very productive ones. He wrote books on semantics (Carnap 1942, 1943, 1956), modal logic , and on the philosophical foundations of probability and inductive logic (Carnap 1950, 1952). After

3876-469: The perceptions of the senses. In other words, the truth or falsity of those propositions can be verified by testing their content with further observations. In the Aufbau , Carnap wants to display the logical and conceptual structure with which all scientific (factual) statements can be organized. Carnap gives the label " constitution theory " to this epistemic-logical project. It is a constructive undertaking that systematizes scientific knowledge according to

3944-432: The probability of a conclusion is given by the logical relation it has to the evidence. The evaluation of the degree of confirmation of a hypothesis is thus a problem of meaning analysis. Clearly, the probability of a statement about relative frequency can be unknown; because it depends on the observation of certain phenomena, one may not possess the information needed to establish the value of that probability. Consequently,

4012-514: The same "space" word. Hence, Carnap characteristically argued that there had to be three separate notions of space. "Formal" space is space in the sense of mathematics: it is an abstract system of relations. "Intuitive" space is made of certain contents of intuition independent of single experiences. "Physical" space is made of actual spatial facts given in experience. The upshot is that those three kinds of "space" imply three different kinds of knowledge and thus three different kinds of investigations. It

4080-417: The sciences. He wrote a letter to Russell, who responded by copying by hand long passages from his Principia Mathematica for Carnap's benefit, as neither Carnap nor his university could afford a copy of this epochal work. In 1924 and 1925, he attended seminars led by Edmund Husserl , the founder of phenomenology , and continued to write on physics from a logical positivist perspective. Carnap discovered

4148-452: The sentence. As a result, it is clear for Carnap that metaphysical sentences are meaningless. They include concepts like "god", "soul" and "the absolute" that transcend experience and cannot be traced back or connected to direct observations. Because those sentences cannot be verified in any way, Carnap suggests that science, as well as philosophy, should neither consider nor contain them. At that point in his career, Carnap attempted to develop

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4216-441: The things they denote cannot be perceived. Consequently, one of Carnap's main aim has been to redefine the purpose and method of philosophy. According to him, philosophy should not aim at producing any knowledge transcending the knowledge of science. In contrast, by analyzing the language and propositions of science, philosophers should define the logical foundations of scientific knowledge. Using symbolic logic , they should explicate

4284-586: The value of that statement can be confirmed only if it is corroborated with facts. In contrast, the probability of a statement about the degree of confirmation could be unknown, in the sense that one may miss the correct logical method to evaluate its exact value. But, such a statement can always receive a certain logical value, given the fact that this value only depends on the meaning of its symbols. The Rudolf Carnap Papers contain thousands of letters, notes and drafts, and diaries. The majority of his papers were purchased from his daughter, Hanna Carnap-Thost in 1974, by

4352-621: Was an educational reformer and her oldest brother was the archaeologist Wilhelm Dörpfeld . As a ten-year-old, Carnap accompanied Wilhelm Dörpfeld on an expedition to Greece. Carnap was raised in a profoundly religious Protestant family, but later became an atheist. He began his formal education at the Barmen Gymnasium and the Carolo-Alexandrinum  [ de ] Gymnasium in Jena . From 1910 to 1914, he attended

4420-521: Was murdered in 1936. From 1936 to 1952, Carnap was a professor of philosophy at the University of Chicago . During the late 1930s, Carnap offered an assistant position in philosophy to Carl Gustav Hempel , who accepted and became one of his most significant intellectual collaborators. Thanks partly to Quine's help, Carnap spent the years 1939–41 at Harvard University , where he was reunited with Tarski. Carnap (1963) later expressed some irritation about his time at Chicago, where he and Charles W. Morris were

4488-536: Was published by Hermann Schüller , an activist with the League for Proletarian Culture . However following his attending lectures by Albert Einstein in 1919, he stopped participating in political groups. Reichenbach received a degree in philosophy from the University of Erlangen in 1915 and his PhD dissertation on the theory of probability , titled Der Begriff der Wahrscheinlichkeit für die mathematische Darstellung der Wirklichkeit ( The Concept of Probability for

4556-458: Was pure physics. Carnap then wrote another thesis in 1921, under Bauch's supervision, on the theory of space in a more orthodox Kantian style, and published as Der Raum ( Space ) in a supplemental issue of Kant-Studien (1922). Frege's course exposed him to Bertrand Russell 's work on logic and philosophy, which put a sense of the aims to his studies. He accepted the effort to surpass traditional philosophy with logical innovations that inform

4624-585: Was the second son of a Jewish merchant, Bruno Reichenbach, who had converted to Protestantism . He married Selma Menzel, a school mistress, who came from a long line of Protestant professionals which went back to the Reformation . His elder brother Bernard played a significant role in the left communist movement . His younger brother, Herman was a music educator. After completing secondary school in Hamburg , Hans Reichenbach studied civil engineering at

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