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[German Version] A necessarily false set of statements contains a logical contradiction (Antinomy). Logical calculuses and theories should generally be free of contradiction (consistent) since, according to traditional logic all kinds of arbitrary conclusions can proceed from a falsehood ( ex falso quodlibet). Aristotle ( Metaph. Γ…

[German Version] Philosophers of language traditionally reflect on the relationship between language and reality along with the truth or falsity of utterances and propositions. Despite some intimations in the work of earlier authors, especially G. Frege (“Der Gedanke,” 1918) and Adolf Reinach (“Die apriorischen Grund­lagen des bürgerlichen Rechts,” 1913), it remained for L. Wittgenstein ( Philosophische Untersuchungen, 1953; ET: Philosophical Investigations, 2001 [bilingual]) and John Langshaw Austin ( How To Do Things with Words, 1962) to formulate the insight that …

[German Version] (May 18, 1872, Ravenscroft, Monmouthshire – Feb 2, 1970, Plas Penrhyn, Wales), philosopher and political activist, visiting professor in China, Australia, the United States, and Europe, married four times, awarded the Nobel Prize for Literature in 1950. Russell studied mathematics and philosophy at Cambridge; after 1900 he concentrated philosophically on the program of logicism – the attempt to reduce all of mathematics to axioms of logic, at the same time working out its implications for epistemology, philosophy of language, and ontology. Immensely productive, creative, and self-critical, he revised his own theories repeatedly: it is impossible to speak of “the” philosophy of Russell. He formulated problems (“Russell’s paradox”: he recognized that the hypothesis of a set of all sets that do not include themselves as elements, being self-contradictory, led to the destruction of contemporary set theory) and strategies for solving them (theory of logical types; theory of descriptions, which says that statements like “x is F” do not presuppose the existence of x) that secured his place in the history of logic and philosophy (Analytic philosop…

[German Version] (Apr 26, 1889, Vienna – Apr 29, 1951, Cambridge) I. Life Wittgenstein grew up in one of the wealthiest and most cultured families of Austria. After studying engineering in Berlin and Manchester, he studied philosophy with B. Russell and G.E. Moore at Cambridge. His first major work, the Logisch-Philosophische Abhandlung, known under the title of its English translation, Tractatus logico-philosophicus ( TLP), made him one of the most innovative and influential philosophers of the 20th century. Published in 1921, it was written during a perio…

[German Version] (Aug 19, 1900, Brighton – Oct 6, 1976, Oxford), philosopher. Ryle taught philosophy at Oxford; together with John L. Austin and L. Wittgenstein, in the mid-20th century he was the most influential exponent of ordinary language philosophy, which maintains that philosophical problems are an expression of linguistic confusions that can be resolved through precise analysis of how the words in question are used in ordinary language. In The Concept of Mind (1949), Ryle saw the dualism of body and mind, in which words like think and believe are treated …

[German Version] I. General Positivism is an umbrella term for a number of concepts that vary greatly in their specifics and are no longer compatible with each other, notably in epistemology and theory of science, as well as in the philosophy of social science. A definition of Positivism is therefore not possible. However, proponents of Positivism in general share the conviction that all rational knowledge that is relevant to human action (in the form of judgments or assertions) should be intersubj…

[German Version] self-designation of a group of philosophers (Moritz Schlick, R. Carnap), mathemati-¶ cians with philosophical interests (Hans Hahn, Kurl Gödel), natural scientists (Philipp Frank), and social scientists (Otto Neurath, Edgar Zilsel) at the University of Vienna, who met regularly from 1924 to 1934 for interdisciplinary discussion and debate. Adopting the trad…

[German Version] a condition of objection, dismissal, caution or indecisiveness. In cases of practical (and moral) doubt, there is an objection to either a behavior or basic convictions relevant to action, and with religious doubt, to certain religiously motivated convictions as well. Existential doubt about the “meaning of existence” (Dasein) radically calls into question any action orientation (Nihilism, S. Kierkegaard, F. Nietzsche). People will reject or deny a proposition or judgment p if they have good grounds for thinking that…

[German Version] I. Philosophy Objectively, probability is the measure of the chance that a particular event will take place (ontological probability); subjectively, it is the measure of the certainty or credibility of a statement (epistemic probability). The interest in ontological probability arising from decision theory, as in games of chance, led to the mathematical theory of probability (Andrey N. Kolmogorov; Chance). But we must distinguish the logical ( a priori) ¶ probability of throwing a six, namely 1/6, from its empirical ( a posteriori) probability, i.e. its actual frequency distribution, wh…

[German Version] I. Terminology The term sign usually means something perceptible to the senses that signifies something else, which gives it its specific meaning. In theological and philosophical usage, it differs from the term symbol (Symbols), although the latter is sometimes used synonymously with sign in semiotics and mathematics as well as in logic. While Aristotle used the term σημεῖον/ sēmeíon in various contexts – including his theory of conclusions –,Augustine of Hippo associated the theory of signs more closely with the theory of language (Phi…

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[German Version] I. Philosophy Realism in a given area B means the ontological thesis that names or terms used in a theory of B refer to things that exist independently of human thought. For example, in natural realism the existence of stones, trees, and ¶ tables is assumed; in scientific realism, that of electrons, force fields, and quarks (see V below); in mathematical realism, that of numbers and quantities; or in ethical realism, that of moral values. Cr…