001470147 000__ 04995cam\\22006617a\4500
001470147 001__ 1470147
001470147 003__ OCoLC
001470147 005__ 20230803003404.0
001470147 006__ m\\\\\o\\d\\\\\\\\
001470147 007__ cr\un\nnnunnun
001470147 008__ 230704s2023\\\\sz\\\\\\ob\\\\001\0\eng\d
001470147 019__ $$a1388493592
001470147 020__ $$a9783031331282$$q(electronic bk.)
001470147 020__ $$a3031331281$$q(electronic bk.)
001470147 020__ $$z3031331273
001470147 020__ $$z9783031331275
001470147 0247_ $$a10.1007/978-3-031-33128-2$$2doi
001470147 035__ $$aSP(OCoLC)1388633538
001470147 040__ $$aYDX$$beng$$cYDX$$dGW5XE$$dEBLCP$$dYDX
001470147 049__ $$aISEA
001470147 050_4 $$aQA8.4$$b.R68 2023
001470147 08204 $$a510.1$$223/eng/20230712
001470147 1001_ $$aRouix, Jean W.
001470147 24510 $$aThomas Aquinas' mathematical realism /$$cJean W. Rioux.
001470147 260__ $$aCham :$$bPalgrave Macmillan,$$c2023.
001470147 300__ $$a1 online resource
001470147 336__ $$atext$$btxt$$2rdacontent
001470147 337__ $$acomputer$$bc$$2rdamedia
001470147 338__ $$aonline resource$$bcr$$2rdacarrier
001470147 504__ $$aIncludes bibliographical references and index.
001470147 5050_ $$aIntro -- Preface -- Contents -- Chapter 1: Introduction -- Bibliography -- Part I: Mathematical Realism in Plato and Aristotle -- Chapter 2: Plato on Mathematics and the Mathematicals -- Platonism as Mathematical Realism -- The Justification for, and Place of, Plato's Mathematicals -- Why Is Platonism Attractive to Some Philosophies of Mathematics? -- Bibliography -- Chapter 3: Aristotle on the Objects of Mathematics -- Where Do the Mathematicals Exist? -- Idealizing the Mathematicals -- How Do the Mathematicals Exist Materially? -- Realist or Non-Realist? -- Bibliography
001470147 5058_ $$aChapter 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
001470147 5058_ $$aChapter 6: Objects, Freedom, and Art -- Mathematics and Existence -- Mathematical Ideals -- Mathematical Freedom -- Mathematical Legitimacy -- Mathematical Illegitimacy -- The Art of the Fiction -- Bibliography -- Chapter 7: To Be Virtually -- Virtual Reality -- Intuitionism and the Excluded Middle -- Remote and Proximate Objects -- Bibliography -- Chapter 8: Mathematics and the Liberal Arts -- Episteme and Art -- The Mathematical Arts -- Bibliography -- Chapter 9: The Place of the Imagination -- Imagination: A Thomistic Development -- What About Mathematics? -- Aristotelian Hints
001470147 5058_ $$aThe 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
001470147 506__ $$aAccess limited to authorized users.
001470147 520__ $$aIn this book, philosopher Jean W. Rioux extends accounts of the Aristotelian philosophy of mathematics to what Thomas Aquinas was able to import from Aristotles notions of pure and applied mathematics, accompanied by his own original contributions to them. Rioux sets these accounts side-by-side modern and contemporary ones, comparing their strengths and weaknesses.
001470147 588__ $$aDescription based on print version record.
001470147 60000 $$aAristotle$$xInfluence.
001470147 60000 $$aThomas,$$cAquinas, Saint,$$d1225?-1274.
001470147 650_0 $$aMathematics$$xPhilosophy.
001470147 650_0 $$aMathematics, Ancient.
001470147 655_0 $$aElectronic books.
001470147 77608 $$iebook version :$$z9783031331282
001470147 77608 $$iPrint version: $$z3031331273$$z9783031331275$$w(OCoLC)1375993674
001470147 852__ $$bebk
001470147 85640 $$3Springer Nature$$uhttps://univsouthin.idm.oclc.org/login?url=https://link.springer.com/10.1007/978-3-031-33128-2$$zOnline Access$$91397441.1
001470147 909CO $$ooai:library.usi.edu:1470147$$pGLOBAL_SET
001470147 980__ $$aBIB
001470147 980__ $$aEBOOK
001470147 982__ $$aEbook
001470147 983__ $$aOnline
001470147 994__ $$a92$$bISE