Category
page 1Intuitionism
Leopold Kronecker
German mathematician who worked on number theory and algebra (1823–1891)
Émile Borel
French mathematician and politician (1871-1956)
Henri Lebesgue
French mathematician (1875–1941)

Luitzen Egbertus Jan Brouwer
Dutch mathematician and logician (1881–1966)
Michael Dummett
British philosopher (1925–2011)
intuitionism
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. That is, logic and mathematics are not considered analytic activities wherein deep properties of objective reality are revealed and applied, but are instead considered the application of internally consistent methods used to realize more complex mental constructs, regardless of their possibl

Stephen Cole Kleene
American mathematician and theoretical computer scientist (1909–1994)
intuitionistic logic
various systems of symbolic logic
Arend Heyting
Dutch mathematician and logician (1898-1980)

ethical intuitionism
family of views in moral epistemology

Peirce's law
Axiom used in logic and philosophy
intuitionistic type theory
alternative foundation of mathematics
Brouwer–Heyting–Kolmogorov interpretation
interpretation of intuitionistic logic

Dirk van Dalen
Dutch mathematician
Heyting arithmetic
axiomatization of arithmetic