To venture an expedition towards the wonderland of mathematics as a philosopher, one needs to consider at least four different "worlds", in somewhat Popperian sense. Starting from the physical world, through proper adjustments in our psychological world, we may arrive at the so called "world of mathematical aspiration". By the help of this third world, world of aspiration, acquiring "erotic energy" "erotic" in Platonic sense! , we may reach the fourth world, "world of mathematical objects". This picture of four worlds of mathematics can be useful to find new ways to teaching mathematics, it may allow us to convey abstract concepts of mathematics to the students . Philosophically speaking, the picture may pave the way to understand the ontological ground of mathematical thinking.
Primary Language | Turkish |
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Journal Section | Research Article |
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Publication Date | July 15, 2003 |
Published in Issue | Year 2003 Issue: 37 |
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