Jean W. Rioux Thomas Aquinas’ Mathematical Realism
Book details
- Title
- Jean W. Rioux Thomas Aquinas’ Mathematical Realism
- Publication year listed
- 1900
- Format
- Public domain eBook
- Reading access
- Free online reader; no registration required
- Source record
- View on Archive.org
About this book
Jean W. Rioux Thomas Aquinas’ Mathematical Realism
Author: Jean W. Rioux
Year: 1900
Part I Mathematical Realism in Plato and Aristotle 2 Plato on Mathematics and the Mathematicals Platonism as Mathematical Realism The Justiication for, and Place of, Plato’s Mathematicals Why Is Platonism Attractive to Some Philosophies of Mathematics? Bibliography 3 Aristotle on the Objects of Mathematics Where Do the Mathematicals Exist? Idealizing the Mathematicals How Do the Mathematicals Exist Materially? Realist or Non-Realist? Bibliography 4 Aristotle on the Speculative and Middle Sciences The Practical and Speculative Sciences Necessary and Suficient Conditions for Episteme Pure Mathematics Is EThe Middle Sciences The Pure Sciences Are Prior to the Applied Bibliography 5 Aristotle on Abstraction and Intelligible Matter Formal Abstraction: A Middle Way Between Platonism and Nominalism Intelligible Matter Intelligible Matter and the Reality of Mathematicals Intelligible Matter and Access Bibliography Part II Mathematical Realism in Aquinas 6 Objects, Freedom, and Art Mathematics and Existence Mathematical Ideals Mathematical Freedom Mathematical Legitimacy Mathematical Illegitimacy The Art of the Fiction Bibliography 7 To Be Virtually Virtual Reality Intuitionism and the Excl
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