Kagaku tetsugaku
Online ISSN : 1883-6461
Print ISSN : 0289-3428
ISSN-L : 0289-3428
Survey Article
Survey on the Recent Studies of the Role of Diagrams in Mathematics from the Viewpoint of Philosophy of Mathematics
Hiroyuki Inaoka
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2014 Volume 47 Issue 1 Pages 67-82

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Abstract

    In this paper, we would present an overview of the recent studies on the role of diagram in mathematics. Traditionally, mathematicians and philosophers had thought that diagram should not be used in mathematical proofs, because relying on diagram would cause to various types of fallacies. But recently, some logicians and philosophers try to show that diagram has a legitimate place in proving mathematical theorems. We would review such trends of studies and provide some perspective from viewpoint of philosophy of mathematics.

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© 2014 The Philosophy of Science Society, Japan
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