meaning of intuitionists

1. Same as Intuitionalism.
2. intuitionism intuitionistic logic intuitionistic logic mathematics> Brouwers foundational theory of mathematics which says that you should not count a proof of There exists x such that Px valid unless the proof actually gives a method of constructing such an x. Similarly, a proof of A or B is valid only if it actually exhibits either a proof of A or a proof of B. In intuitionism, you cannot in general assert the statement A or not-A the principle of the excluded middle; A or not-A is not proven unless you have a proof of A or a proof of not-A. If A happens to be undecidable in your system some things certainly will be, then there will be no proof of A or not-A. This is pretty annoying; some kinds of perfectly healthy-looking examples of proof by contradiction just stop working. Of course, excluded middle is a theorem of classical logic i. e. non-intuitionistic logic. History http://britanica. com/bcom/eb/article/3/0,5716,118173+14+10982
3. philosophy the doctrine that knowledge is acquired primarily by intuition

Related Words

intuitionism | intuitionist | intuitionist logic | intuitionistic probability |

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