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Other well-known modern axiomatizations of Euclidean geometry are those of Alfred Tarski and of George Birkhoff.
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The logician Alfred Tarski demonstrated how, for a reasonably simple language system, paradoxes can be avoided.
¿ Qué diablos?Literature Literature
Gödel’s theorem and Alfred Tarski’s treatise on the borders of the universe, the outer limits.
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According to Alfred Tarski’s famous definition, the statement “snow is white” is only true if the snow is white.
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The T-schema, which embodies the theory of truth proposed by Alfred Tarski, defines the truth of arbitrary sentences from the truth of atomic sentences.
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Moreover, with Alfred Tarski and Wacław Sierpiński he provided most of the theory concerning Polish spaces (that are indeed named after these mathematicians and their legacy).
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Much of Miller's criticism is sympathetic and helpful in gaining a better understanding of the relationship between Bradwardine's proposed solution to the paradoxes and Alfred Tarski's.
Me dijo que Io estaba aIejando.Me dijo que Io estaba aIejandoscielo-abstract scielo-abstract
In turn, this calculus became the subject of much further work, starting in 1940, by Alfred Tarski and his colleagues and students at the University of California.
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Even though Alfred Tarski was his sole doctoral pupil, Leśniewski nevertheless strongly influenced an entire generation of Polish logicians and mathematicians via his teaching at the University of Warsaw.
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They contain, among other things, her research, the records of the discussions in the Vienna Circle protocols and over 1,600 letters to Otto Neurath, Ludwig Wittgenstein, Alfred Tarski and others.
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Together with Alfred Tarski and Jan Łukasiewicz, he formed the troika, which made the University of Warsaw, during the Interbellum, perhaps the most important research center in the world for formal logic.
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In his 1975 article "Outline of a Theory of Truth", Kripke showed that a language can consistently contain its own truth predicate, something deemed impossible by Alfred Tarski, a pioneer in formal theories of truth.
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The fact that such self-reference can be expressed within arithmetic was not known until Gödel's paper appeared; independent work of Alfred Tarski on his indefinability theorem was conducted around the same time but not published until 1936.
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Tarski's circle-squaring problem is the challenge, posed by Alfred Tarski in 1925, to take a disc in the plane, cut it into finitely many pieces, and reassemble the pieces so as to get a square of equal area.
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Stefan Banach and Alfred Tarski (1924) showed that the axiom of choice can be used to decompose a solid ball into a finite number of pieces which can then be rearranged, with no scaling, to make two solid balls of the original size.
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Literature and Sources Tarski, Alfred, Collected Papers, Bde. 1–4, ed. by Steven R.
Fue un viaje largoLiterature Literature
His collaboration with Alfred Tarski in the late 1970s and early 1980s led to publications on Tarski's work and to the 2007 article Notes on the Founding of Logics and Metalogic: Aristotle, Boole, and Tarski, which traces Aristotelian and Boolean ideas in Tarski's work and which confirms Tarski's status as a founding figure in logic on a par with Aristotle and Boole.
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In his inaugural lecture at the University of Innsbruck, he outlined the four problems in epistemology, which he focussed on in his later work: The problem of induction The fundamental role of experience The problem of theoretical concepts The problem of scientific explanation In his books Das Wahrheitsproblem und die Idee der Semantik (The Problem of Truth and the idea of Semantics, 1957), and Unvollständigkeit und Unentscheidbarkeit (Incompleteness and Undecidability, 1959) Stegmüller disseminated the ideas of Alfred Tarski and Rudolf Carnap on semantics and logics as well as those of Kurt Gödel on mathematical logic.
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It was around 1923 that Alfred Teitelbaum changed his name to Alfred Tarski.
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Alfred Tarski, 1944. The Semantic Conception of Truth and the Foundations of Semantics.
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Such holistic correspondence is given disquotationally by Alfred Tarski’s so-called T-schema:
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The mathematical community owes a debt of gratitude to Givant and McKenzie for their efforts in producing this invaluable collection of Alfred Tarski's works.
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... for the thesis that Alfred Tarski's original definition of truth, together with its later elaboration in model theory, is an explication of the classical correspondence theory of truth.
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Let us just note for now that Alfred Tarski was actually born with the family name of Teitelbaum, and for about the first 22 years of his life was known as Alfred Teitelbaum.
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This international event is celebrated on the anniversary of the birth of Alfred Tarski and the anniversary of the death of Kurt Gödel, scholars considered to be ones of the most important logicians in the world.
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32 sinne gevind in 13 ms. Hulle kom uit baie bronne en word nie nagegaan nie.