Results for 'Mathematics Philosophy'

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  1. Introduction to Mathematical Philosophy.Bertrand Arthur William Russell - 1919 - London, England: Dover Publications.
    Seminal work by great modern philosopher and mathematician focuses on certain issues of mathematical logic that Russell believed invalidated much traditional and contemporary philosophy. Topics include number, order, relations, limits and continuity, propositional functions, descriptions and classes, more. Clear, accessible excursion into the realm where mathematics and philosophy meet.
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  2. The Mathematical Philosophy of Bertrand Russell: Origins and Development.Francisco A. Rodríguez-Consuegra - 1991 - Birkhäuser Verlag.
    Traces the development of British philosopher Russell's (1872-1970) ideas on mathematics from the 1890s to the publication of his Principles of mathematics in 1903. Draws from Russell's unpublished manuscripts, correspondence, and published works to point out the influence of Hegel, Cantor, Whitehead, Peano, and others. No index. Annotation copyrighted by Book News, Inc., Portland, OR.
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  3. Scientific Philosophy, Mathematical Philosophy, and All That.Hannes Leitgeb - 2013 - Metaphilosophy 44 (3):267-275.
    This article suggests that scientific philosophy, especially mathematical philosophy, might be one important way of doing philosophy in the future. Along the way, the article distinguishes between different types of scientific philosophy; it mentions some of the scientific methods that can serve philosophers; it aims to undermine some worries about mathematical philosophy; and it tries to make clear why in certain cases the application of mathematical methods is necessary for philosophical progress.
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  4. Introduction to Mathematical Philosophy.Bertrand Russell - 1919 - Revue Philosophique de la France Et de l'Etranger 89:465-466.
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  5. Introduction to mathematical philosophy.Bertrand Russell - 1920 - Revue de Métaphysique et de Morale 27 (2):4-5.
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  6. The Mathematical Philosophy of Giuseppe Peano.Hubert C. Kennedy - 1963 - Philosophy of Science 30 (3):262-266.
    Because Bertrand Russell adopted much of the logical symbolism of Peano, because Russell always had a high regard for the great Italian mathematician, and because Russell held the logicist thesis so strongly, many English-speaking mathematicians have been led to classify Peano as a logicist, or at least as a forerunner of the logicist school. An attempt is made here to deny this by showing that Peano's primary interest was in axiomatics, that he never used the mathematical logic developed by him (...)
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  7. The Mathematical Philosophy of Bertrand Russell: Origins and Development.Francisco A. Rodriguez-Consuegra - 1993 - Erkenntnis 39 (3):421-424.
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  8.  5
    Logic, Mathematics, Philosophy, Vintage Enthusiasms: Essays in Honour of John L. Bell.David DeVidi, Michael Hallett & Peter Clark (eds.) - 2011 - Dordrecht, Netherland: Springer.
    The volume includes twenty-five research papers presented as gifts to John L. Bell to celebrate his 60th birthday by colleagues, former students, friends and admirers. Like Bell’s own work, the contributions cross boundaries into several inter-related fields. The contributions are new work by highly respected figures, several of whom are among the key figures in their fields. Some examples: in foundations of maths and logic ; analytical philosophy, philosophy of science, philosophy of mathematics and decision theory (...)
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  9.  35
    The Mathematical Philosophy of Contact.A. P. Hazen - 1990 - Philosophy 65 (252):205 - 211.
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  10. Mathematical Philosophy.Charles Sanders Peirce - 1976 - Humanities Press.
  11. Greek Mathematical Philosophy [by] Edward A. Maziarz [and] Thomas Greenwood.Edward A. Maziarz & Thomas Greenwood - 1968 - Ungar.
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  12.  17
    Greek Mathematical Philosophy.Edward A. Maziarz - 1968 - New York: Ungar.
  13. The Mathematical Philosophy of Charles Parsons. [REVIEW]J. M. B. Moss - 1985 - British Journal for the Philosophy of Science 36 (4):437-457.
  14. Mathematical Philosophy, a Study of Fate and Freedom Lectures for Educated Laymen.Cassius Jackson Keyser - 1922 - New York, NY, USA: Dutton.
  15. An Aristotelian Realist Philosophy of Mathematics: Mathematics as the Science of Quantity and Stucture.James Franklin - 2014 - London and New York: Palgrave MacMillan.
    An Aristotelian Philosophy of Mathematics breaks the impasse between Platonist and nominalist views of mathematics. Neither a study of abstract objects nor a mere language or logic, mathematics is a science of real aspects of the world as much as biology is. For the first time, a philosophy of mathematics puts applied mathematics at the centre. Quantitative aspects of the world such as ratios of heights, and structural ones such as symmetry and continuity, (...)
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  16. Mathematical Philosophy?Leon Horsten - 2013 - In Hanne Andersen, Dennis Dieks, Wenceslao González, Thomas Uebel & Gregory Wheeler (eds.), New Challenges to Philosophy of Science. Springer Verlag. pp. 73--86.
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  17. Towards Mathematical Philosophy.Jacek Malinowski David Makinson & Wansing Heinrich (eds.) - 2009 - Springer.
     
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  18. Greek Mathematical Philosophy. Edward A. Maziarz, Thomas Greenwood.H. Gericke - 1969 - Isis 60 (3):406-406.
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    Greek Mathematical Philosophy.Ian Mueller, Edward A. Maziarz & Thomas Greenwood - 1970 - Philosophical Review 79 (3):427.
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  20. Logic–MathematicsPhilosophy.Pavel Materna - 2010 - In Jaroslav Peregrin (ed.), Foundations of Logic. Charles University in Prague/Karolinum Press.
  21.  73
    Wittgenstein’s and Other Mathematical Philosophies.Hao Wang - 1984 - The Monist 67 (1):18-28.
    I construe mathematical philosophy not in the narrow sense of philosophy of mathematics but in a broad indefinite sense of different manners of giving mathematics a privileged place in the study of philosophy. For example, in one way or another, mathematics plays an important part in the philosophy of Plato, Descartes, Spinoza, Leibniz, and Kant. In contrast, history plays a central role in the philosophy of Vico, Hegel, and Marx. In more recent (...)
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  22.  9
    Mathematical Philosophy; a Study of Fate and Freedom.H. T. Costello - 1923 - Journal of Philosophy 20 (5):137-139.
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  23. Deleuze and the Mathematical Philosophy of Albert Lautman.Simon B. Duffy - 2009 - In Jon Roffe & Graham Jones (eds.), Deleuze’s Philosophical Lineage. Edinburgh University Press.
    In the chapter of Difference and Repetition entitled ‘Ideas and the synthesis of difference,’ Deleuze mobilizes mathematics to develop a ‘calculus of problems’ that is based on the mathematical philosophy of Albert Lautman. Deleuze explicates this process by referring to the operation of certain conceptual couples in the field of contemporary mathematics: most notably the continuous and the discontinuous, the infinite and the finite, and the global and the local. The two mathematical theories that Deleuze draws upon (...)
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  24.  82
    Philosophy of Mathematics and Natural Science.Herman Weyl - 1949 - Princeton University Press.
    This is a book that no one but Weyl could have written--and, indeed, no one has written anything quite like it since.
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  25. Frege: Philosophy of Mathematics.Michael Dummett - 1991 - Harvard University Press.
    In this work Dummett discusses, section by section, Frege's masterpiece The Foundations of Arithmetic and Frege's treatment of real numbers in the second volume ...
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  26. Philosophy of Mathematics: Structure and Ontology.Stewart Shapiro - 1997 - Oxford, England: Oxford University Press.
    Do numbers, sets, and so forth, exist? What do mathematical statements mean? Are they literally true or false, or do they lack truth values altogether? Addressing questions that have attracted lively debate in recent years, Stewart Shapiro contends that standard realist and antirealist accounts of mathematics are both problematic. As Benacerraf first noted, we are confronted with the following powerful dilemma. The desired continuity between mathematical and, say, scientific language suggests realism, but realism in this context suggests seemingly intractable (...)
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  27.  35
    Philosophy of Mathematics: Selected Readings.Paul Benacerraf (ed.) - 1964 - Englewood Cliffs, NJ, USA: Englewood Cliffs, N.J., Prentice-Hall.
    The present collection brings together in a convenient form the seminal articles in the philosophy of mathematics by these and other major thinkers.
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  28. Natorp's Mathematical Philosophy of Science.Thomas Mormann - forthcoming - In Francesca Biagioli & Marco Giovanelli (eds.), Neo-Kantian Perspectives on the Exact Sciences. London, UK: Routledge.
  29. Philosophy of Mathematics: Selected Readings.Paul Benacerraf & Hilary Putnam (eds.) - 1964 - Englewood Cliffs, NJ, USA: Cambridge University Press.
    The twentieth century has witnessed an unprecedented 'crisis in the foundations of mathematics', featuring a world-famous paradox (Russell's Paradox), a challenge to 'classical' mathematics from a world-famous mathematician (the 'mathematical intuitionism' of Brouwer), a new foundational school (Hilbert's Formalism), and the profound incompleteness results of Kurt Gödel. In the same period, the cross-fertilization of mathematics and philosophy resulted in a new sort of 'mathematical philosophy', associated most notably (but in different ways) with Bertrand Russell, W. (...)
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  30. The Philosophy of Mathematical Practice.Paolo Mancosu (ed.) - 2008 - Oxford, England: Oxford University Press.
    There is an urgent need in philosophy of mathematics for new approaches which pay closer attention to mathematical practice. This book will blaze the trail: it offers philosophical analyses of important characteristics of contemporary mathematics and of many aspects of mathematical activity which escape purely formal logical treatment.
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  31. Russell's Mathematical Philosophy.John-Michael Kuczynski - 2015 - Createspace Independent Publishing Platform.
    This book states, illustrates, and evaluates the main points of Russell's Introduction to Mathematical Philosophy. This book also contains a thorough exposition of the fundamentals of set theory, including Cantor's groundbreaking investigations into the theory of transfinite numbers. Topics covered include: *Cardinal number (Frege's analysis) *Cardinal number (von Neumann's analysis) *Ordinal number *Isomorphism *Mathematical induction *Limits and continuity *The arithmetic of transfinites *Set-theoretic definitions of "point" and "instant" *An analysis of cardinal n, for arbitrary n, that, unlike the analyses (...)
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  32. Godel's Legacy in Mathematical Philosophy.Harvey Friedman - manuscript
    Gödel's definitive results and his essays leave us with a rich legacy of philosophical programs that promise to be subject to mathematical treatment. After surveying some of these, we focus attention on the program of circumventing his demonstrated impossibility of a consistency proof for mathematics by means of extramathematical concepts.
     
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  33.  38
    Three Views of Logic: Mathematics, Philosophy, Computer Science.Donald W. Loveland, Richard E. Hodel & Susan G. Sterrett - 2014 - Princeton University Press.
    Demonstrating the different roles that logic plays in the disciplines of computer science, mathematics, and philosophy, this concise undergraduate textbook covers select topics from three different areas of logic: proof theory, computability theory, and nonclassical logic. The book balances accessibility, breadth, and rigor, and is designed so that its materials will fit into a single semester. Its distinctive presentation of traditional logic material will enhance readers' capabilities and mathematical maturity. The proof theory portion presents classical propositional logic and (...)
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  34.  1
    Concepts of Proof in Mathematics, Philosophy, and Computer Science.Peter Schuster & Dieter Probst (eds.) - 2016 - De Gruyter.
    A proof is a successful demonstration that a conclusion necessarily follows by logical reasoning from axioms which are considered evident for the given context and agreed upon by the community. It is this concept that sets mathematics apart from other disciplines and distinguishes it as the prototype of a deductive science. Proofs thus are utterly relevant for research, teaching and communication in mathematics and of particular interest for the philosophy of mathematics. In computer science, moreover, proofs (...)
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  35.  6
    The Relevance of Mathematical Philosophy to the Teaching of Mathematics.Max Black - 1938 - S.N.
  36.  4
    Feferman on Foundations: Logic, Mathematics, Philosophy.Gerhard Jäger & Wilfried Sieg (eds.) - 2017 - Springer.
    This volume honours the life and work of Solomon Feferman, one of the most prominent mathematical logicians of the latter half of the 20th century. In the collection of essays presented here, researchers examine Feferman’s work on mathematical as well as specific methodological and philosophical issues that tie into mathematics. Feferman’s work was largely based in mathematical logic, but also branched out into methodological and philosophical issues, making it well known beyond the borders of the mathematics community. With (...)
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  37.  71
    On the Failure of Mathematics' Philosophy: Review of P. Maddy, Realism in Mathematics; and C. Chihara, Constructibility and Mathematical Existence.David Charles McCarty - 1993 - Synthese 96 (2):255-291.
  38.  22
    Difference of Mathematical Philosophy Between China and West: Precision and Measure.辉 熊 - 2013 - Advances in Philosophy 2 (1):5-9.
  39. Philosophy of Mathematics and Deductive Structure of Euclid 's "Elements".Ian Mueller - 1981 - Dover Publications.
    A survey of Euclid's Elements, this text provides an understanding of the classical Greek conception of mathematics and its similarities to modern views as well as its differences. It focuses on philosophical, foundational, and logical questions — rather than strictly historical and mathematical issues — and features several helpful appendixes.
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  40. Keyser, C. J. - Mathematical Philosophy[REVIEW]G. Loria - 1923 - Scientia, Rivista di Scienza 17 (33):433.
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  41. Three Metaphysical Theses on Mathematical Philosophy.S. Ramirez Casta eda - 1995 - Boston Studies in the Philosophy of Science 172:201-212.
  42.  21
    Russell's Early Mathematical Philosophy [Review of F.A. Rodríguez-Consuegra, The Mathematical Philosophy of Bertrand Russell].Darryl Jung - 1997 - Russell: The Journal of Bertrand Russell Studies 17 (1).
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  43.  3
    The Mathematical Principles of Natural Philosophy.Isaac Newton - 2020 - Filozofski Vestnik 41 (3).
    The Mathematical Principles of Natural Philosophy.
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  44.  90
    Mathematics in Philosophy: Selected Essays.Charles Parsons - 1983 - Cornell University Press.
    This important book by a major American philosopher brings together eleven essays treating problems in logic and the philosophy of mathematics.
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  45.  80
    Philosophy of Mathematics: An Introduction to a World of Proofs and Pictures.James Robert Brown - 1999 - Routledge.
    _Philosophy of Mathematics_ is an excellent introductory text. This student friendly book discusses the great philosophers and the importance of mathematics to their thought. It includes the following topics: * the mathematical image * platonism * picture-proofs * applied mathematics * Hilbert and Godel * knots and nations * definitions * picture-proofs and Wittgenstein * computation, proof and conjecture. The book is ideal for courses on philosophy of mathematics and logic.
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  46.  7
    Nominalism and Constructivism in Seventeenth-Century Mathematical Philosophy.David Sepkoski - 2007 - Routledge.
    Introduction: mathematization and the language of nature -- Realists and nominalists : language and mathematics before the scientific revolution -- Ontology recapitulates epistemology : Gassendi, epicurean atomism, and nominalism -- British empiricism, nominalism, and constructivism -- Three mathematicians : constructivist epistemology and the new mathematical methods -- Conclusion: mathematization and the nature of language.
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  47.  82
    Philosophy of Mathematics: A Contemporary Introduction to the World of Proofs and Pictures.James Robert Brown - 2008 - Routledge.
    1. Introduction : the mathematical image -- 2. Platonism -- 3. Picture-proofs and Platonism -- 4. What is applied mathematics? -- 5. Hilbert and Gödel -- 6. Knots and notation -- 7. What is a definition? -- 8. Constructive approaches -- 9. Proofs, pictures and procedures in Wittgenstein -- 10. Computation, proof and conjecture -- 11. How to refute the continuum hypothesis -- 12. Calling the bluff.
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  48.  11
    Late Antique Mathematical Philosophy[REVIEW]John Dillon - 2002 - The Classical Review 52 (2):290-292.
  49.  20
    Late Antique Mathematical Philosophy G. Bechtle, D. J. O'Meara: La Philosophie Des Mathématiques de l'Antiquité Tardive. Actes de Colloque International Fribourg, Suisse (24–26 Sept. 1998) . Pp. VIII + 242. Fribourg: Editions Universitaires Fribourg Suisse, 2000. Paper, Sw. Frs. 39. Isbn: 2-8271-0871-. [REVIEW]John Dillon - 2002 - The Classical Review 52 (02):290-.
  50.  9
    Philosophy of Mathematics.Øystein Linnebo - 2017 - Princeton, NJ: Princeton University Press.
    Mathematics is one of the most successful human endeavors—a paradigm of precision and objectivity. It is also one of our most puzzling endeavors, as it seems to deliver non-experiential knowledge of a non-physical reality consisting of numbers, sets, and functions. How can the success and objectivity of mathematics be reconciled with its puzzling features, which seem to set it apart from all the usual empirical sciences? This book offers a short but systematic introduction to the philosophy of (...)
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