BROUWERIAN INTUITIONISM
The focal question of this essay is what if any role logical inference should be taken to play in mathematical reasoning. Special attention is given to the idea of Brouwer and Poincaré that, by its very topic-neutral character, logical inference is unsuitable for use in mathematical reasoning, and t...
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| Published in | Proof and Knowledge in Mathematics pp. 137 - 163 |
|---|---|
| Format | Book Chapter |
| Language | English |
| Published |
United Kingdom
Routledge
1992
Taylor & Francis Group |
| Subjects | |
| Online Access | Get full text |
| ISBN | 9780415068055 0415068053 |
| DOI | 10.4324/9780203979105-15 |
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| Abstract | The focal question of this essay is what if any role logical inference should be taken to play in mathematical
reasoning. Special attention is given to the idea of Brouwer and Poincaré that, by its very topic-neutral
character, logical inference is unsuitable for use in mathematical reasoning, and the epistemology standing
behind this idea is partially developed. According to this epistemology, intuition is needed not only to
supply axioms, but also to power inference. |
|---|---|
| AbstractList | The focal question of this essay is what if any role logical inference should be taken to play in mathematical
reasoning. Special attention is given to the idea of Brouwer and Poincaré that, by its very topic-neutral
character, logical inference is unsuitable for use in mathematical reasoning, and the epistemology standing
behind this idea is partially developed. According to this epistemology, intuition is needed not only to
supply axioms, but also to power inference. |
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| Copyright | 1992 Michael Detlefsen |
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| Keywords | Genuinely Mathematical Logical Extrapolation Ordinary Counting Mental Proof Constructional Activity Mathematical Reasoning Compound Propositions Direct Sensory Experience Brouwerian Intuitionism Cognitive Mode Credential Effect Superb Natural Kind Arena Seats Inferential Justification Logical Relations Mathematical Epistemology Classical Epistemology Soundness Question Epistemic Growth Mathematical Knowledge Intuitionistic Conjunction Intuitionistic Constructions Epistemic Condition Intuitionist Logic |
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| PublicationTitle | Proof and Knowledge in Mathematics |
| PublicationYear | 1992 |
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reasoning. Special attention is given to the... |
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| StartPage | 137 |
| SubjectTerms | Mathematical logic Philosophy of mathematics |
| Title | BROUWERIAN INTUITIONISM |
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