- finitistic
- fi·nit·is·tic
English syllables. 2014.
finitistic
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Finitistic induction — is a limited form of mathematical induction in which it can be shown that the inductive process concludes its extension in a finite number of steps.An extreme form of the constructivist stance in the philosophy of mathematics, finitism proposes… … Wikipedia
finitistic — adjective see finitist … Useful english dictionary
Peano axioms — In mathematical logic, the Peano axioms, also known as the Dedekind Peano axioms or the Peano postulates, are a set of axioms for the natural numbers presented by the 19th century Italian mathematician Giuseppe Peano. These axioms have been used… … Wikipedia
Hilbert's second problem — In mathematics, Hilbert s second problem was posed by David Hilbert in 1900 as one of his 23 problems. It asks for a proof that arithmetic of real numbers is consistent.In the 1930s, Kurt Gödel and Gerhard Gentzen proved results that cast new… … Wikipedia
Gödel's incompleteness theorems — In mathematical logic, Gödel s incompleteness theorems, proved by Kurt Gödel in 1931, are two theorems stating inherent limitations of all but the most trivial formal systems for arithmetic of mathematical interest. The theorems are of… … Wikipedia
Hilbert's problems — are a list of twenty three problems in mathematics put forth by German mathematician David Hilbert at the Paris conference of the International Congress of Mathematicians in 1900. The problems were all unsolved at the time, and several of them… … Wikipedia
Foundations of mathematics — is a term sometimes used for certain fields of mathematics, such as mathematical logic, axiomatic set theory, proof theory, model theory, and recursion theory. The search for foundations of mathematics is also a central question of the philosophy … Wikipedia
Certainty — series Agnosticism Belief Certainty Doubt Determinism Epistemology Estimation Fallibilism … Wikipedia
Dialectica interpretation — In proof theory, the Dialectica interpretation [1] is a proof interpretation of intuitionistic arithmetic (Heyting arithmetic) into a finite type extension of primitive recursive arithmetic, the so called System T. It was developed by Kurt Gödel… … Wikipedia
Hilbert's program — Hilbert s program, formulated by German mathematician David Hilbert in the 1920s, was to formalize all existing theories to a finite, complete set of axioms, and provide a proof that these axioms were consistent.Hilbert proposed that the… … Wikipedia
