Intuitionistic logic, sometimes more generally called constructive logic, refers to systems of symbolic logic that differ from the systems used for classical logic by more closely mirroring the notion of constructive proof.

In the philosophy of mathematics, intuitionism, or neointuitionism (opposed to preintuitionism), is an approach where mathematics is considered to be purely the result of the constructive mental activity of humans rather than the discovery of fundamental principles claimed to exist in an objective reality. [1] .

1999年9月1日 · Intuitionistic logic encompasses the general principles of logical reasoning which have been abstracted by logicians from intuitionistic mathematics, as developed by L. E. J. Brouwer beginning in his [1907] and [1908].

intuitionistic logic, formulated as a proof system, is due to A. Heyting (1930). In this chapter we present a Hilbert style proof system that is equivalent to the Heyting’s original formalization and discuss the relationship between intuition-

2008年9月4日 · Intuitionism is a philosophy of mathematics that was introduced by the Dutch mathematician L.E.J. Brouwer (1881–1966). Intuitionism is based on the idea that mathematics is a creation of the mind.

2008年7月10日 · Intuitionistic mathematics consists in the act of effecting mental constructions of a certain kind. These are themselves not linguistic in nature, but when acts of construction and their results are described in a language, the descriptions may come to exhibit linguistic patterns.

Intuitionism takes the position that mathematical objects are mental constructions. Intuitionistic epistemology centers on proof, rather than truth.

Intuitionistic Logic PART 1: INTRODUCTION The intuitionistic logic has developed as a result of certain philosophical views on the foundation of mathematics, known as in-tuitionism. Intuitionism was originated by L. E. J. Brouwer in 1908. The rst Hilbert proof system (Hilber style formalization) of the intuitionistic logic is due to A. Heyting ...

Intuitionistic logic is intended to capture a more “constructive” kind of reasoning characteristic of a kind of constructive mathematics. The following examples may serve to illustrate some of the underlying motivations.

2020年6月5日 · Intuitionistic mathematics is the science of intuitively-convincing mental constructions.