Plato’s Rationalism, and Aristotle by Stewart Shapiro – INTRODUCTION

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Definitions

  • rationalism: platonism; branch of philosophy which emphasizes reason or intellect, rather than observation or sensory perception, as the basis for knowledge and truth.
  • secular: of or relating to the doctrine that rejects religion and religious considerations

Notes

  • The problems that occupied mathematicians for centuries, culminating more than 2,000 years later with the result that there are no solutions-the tasks to obtain exact solutions are impossible.
  • Thomas Kuhn’s influential Structure of Scientific Revolutions (1970) speaks of revolutions and ‘paradigm shifts’ that make it difficult to understand scientific works of the past. I.e., to understand previous work we have to unlearn our current science and try to immerse ourselves in the overturned world-view.
  • However, there’s an exception of this when mathematics is concerned. A contemporary mathematicians does not have to do much (if any) conceptual retooling in order to read and admire Euclid’s Elements.
  • Plato stands at the head of a long tradition in philosophy sometimes called rationalism or ‘Platonism’
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