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Intuition in Mathematics
| Content Provider | CiteSeerX |
|---|---|
| Author | Chudnoff, Elijah |
| Abstract | Abstract: The literature on mathematics suggests that intuition plays a role in it as a ground of belief. This article explores the nature of intuition as it occurs in mathematical thinking. Section 1 suggests that intuitions should be understood by analogy with perceptions. Section 2 explains what fleshing out such an analogy requires. Section 3 discusses Kantian ways of fleshing it out. Section 4 discusses Platonist ways of fleshing it out. Section 5 sketches a proposal for resolving the main problem facing Platonists—the problem of explaining how our experiences make contact with mathematical reality. If you look at the literature on mathematics—the prefaces to math textbooks, discussion pieces by mathematicians, mathematical popularizations and biographies, philosophical works about the nature of mathematics, psychological studies of mathematical cognition, educational material on the teaching of mathematics—you will regularly find talk about intuition. This suggests that there is some role intuition plays in mathematics, specifically as a ground of belief about mathematical matters. The aim of the present chapter is to stake out some ideas |
| File Format | |
| Access Restriction | Open |
| Subject Keyword | Mathematical Thinking Mathematical Popularization Main Problem Facing Present Chapter Educational Material Mathematical Matter Philosophical Work Discus Kantian Way Mathematics Suggests Discus Platonist Way Mathematical Cognition Mathematical Reality Psychological Study Role Intuition Discussion Piece |
| Content Type | Text |
| Resource Type | Article |
