Mathematical Intuition pp 1-20 | Cite as

# The Concept of Intuition in Mathematics

## Abstract

The notion of mathematical intuition has played an important role in several philosophical conceptions of how we acquire mathematical knowledge and a number of classical philosophical problems are closely associated with it: the question whether mathematical knowledge is a priori, analytic or “necessary”; problems about platonism, mathematical truth, and abstract objects; the question whether minds surpass machines, or whether mathematics consists solely of mechanical operations on syntax; questions about the meaning and reference of statements of mathematical theories; and questions about the nature of infinity, to name a few.

## Keywords

Mathematical Knowledge Mathematical Object Mathematical Induction Sign Configuration Mathematical Truth## Preview

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## Notes

- 3.See Steiner, M.,
*Mathematical Knowledge*[129], pp. 117–118, 130–132, and Parsons, C., “Mathematical Intuition” [105], p.146.Google Scholar - 13.Brouwer, L.E.J.,
*Collected Works, Vol. I*, [14], with slightly different versions in different papers.Google Scholar