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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Mathematical Intuition: Phenomenology and Mathematical Knowledge

Mathematical Intuition: Phenomenology and Mathematical Knowledge

Tieszen, R. L.

Hardcover

Series: Synthese Library, Book 203

FictionPhilosophyLogic

ISBN10: 0792301315
ISBN13: 9780792301318
Publisher: Springer
Published: Jun 30 1989
Pages: 210
Weight: 1.11
Height: 0.56 Width: 6.14 Depth: 9.21
Language: English
Intuition has perhaps been the least understood and the most abused term in philosophy. It is often the term used when one has no plausible explanation for the source of a given belief or opinion. According to some sceptics, it is understood only in terms of what it is not, and it is not any of the better understood means for acquiring knowledge. In mathematics the term has also unfortunately been used in this way. Thus, intuition is sometimes portrayed as if it were the Third Eye, something only mathematical mystics, like Ramanujan, possess. In mathematics the notion has also been used in a host of other senses: by intuitive one might mean informal, or non-rigourous, or visual, or holistic, or incomplete, or perhaps even convincing in spite of lack of proof. My aim in this book is to sweep all of this aside, to argue that there is a perfectly coherent, philosophically respectable notion of mathematical intuition according to which intuition is a condition necessary for mathemati- cal knowledge. I shall argue that mathematical intuition is not any special or mysterious kind of faculty, and that it is possible to make progress in the philosophical analysis of this notion. This kind of undertaking has a precedent in the philosophy of Kant. While I shall be mostly developing ideas about intuition due to Edmund Husser! there will be a kind of Kantian argument underlying the entire book.

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