The Concept of Intuition in Mathematics
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.
KeywordsMathematical Knowledge Mathematical Object Mathematical Induction Sign Configuration Mathematical Truth
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