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Tarski–Seidenberg theorem — In mathematics, the Tarski–Seidenberg theorem states that a set in n +1 dimensional space defined by polynomial identities and inequalities can be projected down onto n dimensional space, and the resulting set is still definable in terms of… … Wikipedia
Tarski's undefinability theorem — Tarski s undefinability theorem, stated and proved by Alfred Tarski in 1936, is an important limitative result in mathematical logic, the foundations of mathematics, and in formal semantics. Informally, the theorem states that arithmetical truth… … Wikipedia
Tarski-Vaught test — The Tarski Vaught test (sometimes called Tarski s criterion) is a result in model theory which characterizes the elementary substructures of a given structure using definable sets. It is often used to determine whether a substructure of a… … Wikipedia
Tarski's axioms — Tarski s axioms, due to Alfred Tarski, are an axiom set for the substantial fragment of Euclidean geometry, called elementary, that is formulable in first order logic with identity, and requiring no set theory. Other modern axiomizations of… … Wikipedia
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. This was proven to be possible by Miklós Laczkovich in 1990; the… … Wikipedia
Theorem — The Pythagorean theorem has at least 370 known proofs[1] In mathematics, a theorem is a statement that has been proven on the basis of previously established statements, such as other theorems, and previously accepted statements … Wikipedia
Alfred Tarski — Infobox scientist name = Alfred Tarski caption = birth date = birth date|1901|01|14 birth place = Warsaw, Poland (under Russian rule at the time) death date = death date|1983|10|26 death place = Berkeley, California fields = Mathematics, logic,… … Wikipedia
Banach–Tarski paradox — The Banach–Tarski paradox is a theorem in set theoretic geometry which states that a solid ball in 3 dimensional space can be split into several non overlapping pieces, which can then be put back together in a different way to yield two identical … Wikipedia
Knaster–Tarski theorem — In the mathematical areas of order and lattice theory, the Knaster–Tarski theorem, named after Bronisław Knaster and Alfred Tarski, states the following:: Let L be a complete lattice and let f : L → L be an order preserving function. Then the set … Wikipedia
Löwenheim–Skolem theorem — In mathematical logic, the Löwenheim–Skolem theorem, named for Leopold Löwenheim and Thoralf Skolem, states that if a countable first order theory has an infinite model, then for every infinite cardinal number κ it has a model of size κ. The… … Wikipedia
