توماس آکوئیناس English Palgrave Macmillan‏‫‭ 2023 Table of contents :,Preface,Contents,Chapter 1: Introduction,Bibliography,Part I: Mathematical Realism in Plato and Aristotle,Chapter 2: Plato on Mathematics and the Mathematicals,Platonism as Mathematical Realism,The Justification for, and Place of, Plato’s Mathematicals,Why Is Platonism Attractive to Some Philosophies of Mathematics?,Bibliography,Chapter 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,Chapter 4: Aristotle on the Speculative and Middle Sciences,The Practical and Speculative Sciences,Necessary and Sufficient Conditions for Episteme,Pure Mathematics Is Episteme,The Middle Sciences,The Pure Sciences Are Prior to the Applied,Bibliography,Chapter 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,Chapter 6: Objects, Freedom, and Art,Mathematics and Existence,Mathematical Ideals,Mathematical Freedom,Mathematical Legitimacy,Mathematical Illegitimacy,The Art of the Fiction,Bibliography,Chapter 7: To Be Virtually,Virtual Reality,Intuitionism and the Excluded Middle,Remote and Proximate Objects,Bibliography,Chapter 8: Mathematics and the Liberal Arts,Episteme and Art,The Mathematical Arts,Bibliography,Chapter 9: The Place of the Imagination,Imagination: A Thomistic Development,What About Mathematics?,Aristotelian Hints,The Representative and Creative Imagination,Imagination and the Truth,Bibliography,Part III: Modern Philosophies of Mathematics,Chapter 10: Going Beyond,Numerical Extensions,Geometrical Extensions,Non-Euclidean Geometries,Bibliography,Chapter 11: Cantor, Finitism, and Twentieth-Century Controversies,Finitism and Infinitism,The Big Three,Bibliography,Chapter 12: Mathematical Realism and Anti-Realism,The Controversy,Anti-Realisms,Realisms,Bibliography,Chapter 13: Modern Aristotelian and Thomistic Accounts,The Aristotelians,The Thomists,Bibliography,Part IV: Conclusion,Chapter 14: Mathematics Is a Mixed Bag,Bibliography,Index text Rioux, Jean W Author آکویناس قدیس, توماس (Thomas Aquinas؛ فیلسوف ارسطویی و متکلم مسیحی ایتالیایی؛ معروف به حکیم آسمانی؛ تلفیق کننده فلسفه‌ی ارسطو با مسیحیت), 1225#1274م. 1225#1274م. Descriptor Jean W. Rioux Author book 9783031331275 1402-11-16 1402-11-17