Intuitionism

In the philosophy of mathematics, intuitionism, or neointuitionism (opposed to preintuitionism), is an approach to mathematics as the constructive mental activity of humans. That is, mathematics does not consist of analytic activities wherein deep properties of existence are revealed and applied. Instead, logic and mathematics are the application of internally consistent methods to realize more complex mental constructs.

Read more about Intuitionism:  Truth and Proof, Intuitionism and Infinity, History of Intuitionism, Contributors To Intuitionism, Branches of Intuitionistic Mathematics

Other articles related to "intuitionism":

Foundations Of Mathematics - Foundational Crisis - Philosophical Views - Intuitionism
... The foundational philosophy of intuitionism or constructivism, as exemplified in the extreme by Brouwer and more coherently by Stephen Kleene, requires proofs to be "constructive" in nature – the existence of ...
Philosophers Of Mathematics - Contemporary Schools of Thought - Intuitionism - Finitism
... The most famous proponent of finitism was Leopold Kronecker, who said God created the natural numbers, all else is the work of man ... Ultrafinitism is an even more extreme version of finitism, which rejects not only infinities but finite quantities that cannot feasibly be constructed with available resources ...
Impossible World - Applications - Counternecessary Statements
... Intuitionism is false ... Intuitionism is false at every possible world ... If intuitionism is true, then the law of excluded middle holds ...
Brouwer–Hilbert Controversy - Background - Brief History of Brouwer and Intuitionism
... Brouwer in effect founded the mathematical philosophy of intuitionism as a challenge to the then-prevailing formalism of David Hilbert and his collaborators Paul Bernays ... As a variety of constructive mathematics, intuitionism is essentially a philosophy of the foundations of mathematics ... to return to his revolutionary project which he was now calling intuitionism " (ibid.) ...
Jonathan Haidt - Social Intuitionism
... early claim to fame was the research program known as Social intuitionism ... means by which people's moral views change, when they change, according to Social Intuitionism--this is the 'Social' aspect of the theory ...