Приклади вживання Intuitionistic Англійська мовою та їх переклад на Українською
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This idea lies at the basis of the Curry- Howard isomorphism, and of intuitionistic type theory.
Its nodes are the propositional formulas in one variable up to intuitionistic logical equivalence,
This idea lies at the basis of the Curry- Howard isomorphism, and of intuitionistic type theory.
Unproved statements in Intuitionistic logic are not given an intermediate truth value(as is sometimes mistakenly asserted).
It was discovered that Tarski-like semantics for intuitionistic logic were not possible to prove complete.
Intuitionistic logic is related by duality to a paraconsistent logic known as Brazilian,
However, Robert Constable has shown that a weaker notion of completeness still holds for intuitionistic logic under a Tarski-like model.
Therefore intuitionistic logic can instead be seen as a means of extending classical logic with constructivist semantics.
A formula is valid in intuitionistic logic if and only if it receives the value of the top element for any valuation on any Heyting algebra.
Formalized intuitionistic logic was originally developed by Arend Heyting to provide a formal basis for Brouwer's programme of intuitionism.
Heyting gave the first formal development of intuitionistic logic in order to codify Brouwer's way of doing mathematics.
In 1932, Kurt Gödel defined a system of Gödel logics intermediate between classical and intuitionistic logic;
In 1932, Kurt Gödel defined a system of logics intermediate between classical and intuitionistic logic;
Because many classically valid tautologies are not theorems of intuitionistic logic, but all theorems of intuitionistic logic are valid classically,
A corresponding theorem is true for intuitionistic logic, but instead of assigning each formula a value from a Boolean algebra,
In contrast, propositional formulae in intuitionistic logic are not assigned any definite truth value at all
In contrast, propositional formulae in intuitionistic logic are not assigned a definite truth value
Intuitionistic logic', sometimes more generally called constructive logic,
validity of formulae in pure intuitionistic logic is not tied to any individual Heyting algebra
Intuitionistic logic, sometimes more generally called constructive logic,