|noun|
1.The theory that mathematical knowledge is based on intuition and mental construction, rejecting certain modes of reasoning and the notion of independent mathematical objects.
‘Freudenthal studied the relation between axiomatic mathematics and reality, and this study led him to contribute to intuitionism, as well as to the application of mathematics to linguistics.’
‘This bibliography is intended as a reference guide to works dealing with mathematical intuitionism.’
2.The theory that primary truths and principles (especially those of ethics and metaphysics) are known directly by intuition.
‘Although Dummett’s work on deduction has its roots in the debate over intuitionism, it does not necessarily follow that, in every case, the alternative logic advocated by a Dummett-style anti-realist would be intuitionistic logic.’
‘Fortunately, the notion that intuitionalism and empiricism exhaust the alternatives no longer universally obtains.’
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