This category needs an editor. We encourage you to help if you are qualified.
Volunteer, or read more about what this involves.
Related categories

430 found
Order:
1 — 50 / 430
  1. The Philosophy of Mathematics: An Introductory Essay. [REVIEW]P. D. M. A. - 1961 - Review of Metaphysics 14 (4):724-724.
    Remove from this list   Direct download  
     
    Export citation  
     
    My bibliography  
  2. A Note on the Theory of Positive Induction, {{Rm ID}^*_1}.Bahareh Afshari & Michael Rathjen - 2010 - Archive for Mathematical Logic 49 (2):275-281.
    The article shows a simple way of calibrating the strength of the theory of positive induction, ${{\rm ID}^{*}_{1}}$ . Crucially the proof exploits the equivalence of ${\Sigma^{1}_{1}}$ dependent choice and ω-model reflection for ${\Pi^{1}_{2}}$ formulae over ACA 0. Unbeknown to the authors, D. Probst had already determined the proof-theoretic strength of ${{\rm ID}^{*}_{1}}$ in Probst, J Symb Log, 71, 721–746, 2006.
    Remove from this list   Direct download (3 more)  
     
    Export citation  
     
    My bibliography   2 citations  
  3. Aristotle's Philosophy of Mathematics. By H. G. Apostle (Cambridge University Press, for the University of Chicago Press. 1953. 45s.). [REVIEW]D. J. Allan - 1955 - Philosophy 30 (114):270-.
  4. Wittgenstein's Remarks on the Foundations of Mathematics. [REVIEW]Alice Ambrose - 1957 - Philosophy and Phenomenological Research 18:262.
  5. A Controversy in the Logic of Mathematics.Alice Ambrose - 1933 - Philosophical Review 42 (6):594-611.
  6. Mathematics, the Language Concepts.John Alfred Henry Anderson - 1974 - Stanley Thornes (Publishers).
    Remove from this list  
     
    Export citation  
     
    My bibliography  
  7. Metody Sovremennoi Matematiki I Logiki V Sotsiologicheskikh Issledovaniiakh [Sbornik Statei].Edvard Pavlovich Andreev, Institut Sotsiologicheskikh Issledovanii Sssr) & Sovetskaia Sotsiologicheskaia Assotsiatsiia - 1977 - In-T Sotsiol. Issledovanii.
    Remove from this list  
     
    Export citation  
     
    My bibliography  
  8. Logic Colloquium 2004: Proceedings of the Annual European Summer Meeting of the Association for Symbolic Logic, Held in Torino, Italy, July 25-31, 2004. [REVIEW]Alessandro Andretta, Keith Kearnes & Domenico Zambella (eds.) - 2008 - Cambridge University Press.
    Highlights of this volume from the 2004 Annual European Meeting of the Association for Symbolic Logic (ASL) include a tutorial survey of the recent highpoints of universal algebra, written by a leading expert; explorations of foundational questions; a quartet of model theory papers giving an excellent reflection of current work in model theory, from the most abstract aspect "abstract elementary classes" to issues around p-adic integration.
    Remove from this list   Direct download  
     
    Export citation  
     
    My bibliography  
  9. Joong Fang (1923–2010).Irving H. Anellis - 2010 - Philosophia Mathematica 18 (2):137-143.
    (No abstract is available for this citation).
    Remove from this list   Direct download (7 more)  
     
    Export citation  
     
    My bibliography  
  10. Letters.Irving H. Anellis - 1993 - Philosophia Mathematica 1 (1):71-73.
  11. Report on the Thirteenth Annual Meeting of the Canadian Society for History and Philosophy of Mathematics.Irving H. Anellis - 1987 - Philosophia Mathematica (2):211-223.
  12. The Philosophy of Mathematics the Invisible Art.W. S. Anglin - 1997
    Remove from this list  
     
    Export citation  
     
    My bibliography  
  13. Mathematics, a Concise History and Philosophy.W. S. Anglin - 1996 - Springer.
    This is a concise introductory textbook for a one semester course in the history and philosophy of mathematics. It is written for mathematics majors, philosophy students, history of science students and secondary school mathematics teachers. The only prerequisite is a solid command of pre-calculus mathematics. It is shorter than the standard textbooks in that area and thus more accessible to students who have trouble coping with vast amounts of reading. Furthermore, there are many detailed explanations of the important mathematical procedures (...)
    Remove from this list   Direct download  
     
    Export citation  
     
    My bibliography  
  14. Mathematics and Value.W. S. Anglin - 1991 - Philosophia Mathematica 6 (2):145-173.
    Remove from this list   Direct download (5 more)  
     
    Export citation  
     
    My bibliography  
  15. Aristotle's Philosophy of Mathematics.Hippocrates George Apostle - 1952 - University of Chicago Press.
  16. Mathematics and Philosophy in Nicomachus Gerasenus.K. Demis Apostolos - 1995 - Neusis 2:117-141.
    Remove from this list  
     
    Export citation  
     
    My bibliography  
  17. Review of Ferreiros and Gray's The Architecture of Modern Mathematics. [REVIEW]Andrew Arana - 2008 - Mathematical Intelligencer 30 (4).
    This collection of essays explores what makes modern mathematics ‘modern’, where ‘modern mathematics’ is understood as the mathematics done in the West from roughly 1800 to 1970. This is not the trivial matter of exploring what makes recent mathematics recent. The term ‘modern’ (or ‘modernism’) is used widely in the humanities to describe the era since about 1900, exemplified by Picasso or Kandinsky in the visual arts, Rilke or Pound in poetry, or Le Corbusier or Loos in architecture (a building (...)
    Remove from this list  
     
    Export citation  
     
    My bibliography  
  18. Review of D. Corfield's Toward A Philosophy Of Real Mathematics. [REVIEW]Andrew Arana - 2007 - Mathematical Intelligencer 29 (2).
    When mathematicians think of the philosophy of mathematics, they probably think of endless debates about what numbers are and whether they exist. Since plenty of mathematical progress continues to be made without taking a stance on either of these questions, mathematicians feel confident they can work without much regard for philosophical reflections. In his sharp–toned, sprawling book, David Corfield acknowledges the irrelevance of much contemporary philosophy of mathematics to current mathematical practice, and proposes reforming the subject accordingly.
    Remove from this list  
     
    Export citation  
     
    My bibliography  
  19. The Relation of Logic to Mathematics.Richard A. Arms - 1919 - The Monist 29 (1):146-152.
  20. History and Philosophy of Modern Mathematics.William Aspray & Philip Kitcher - 1988
  21. Alternative Mathematics and Their Status.Peter Dean Asquith - 1970 - Dissertation, Indiana University
    Remove from this list  
     
    Export citation  
     
    My bibliography  
  22. How to Say Things with Formalisms.David Auerbach - 1992 - In Michael Detlefsen (ed.), Proof, logic, and formalization. Routledge. pp. 77--93.
  23. Intensionality and the Gödel Theorems.David D. Auerbach - 1985 - Philosophical Studies 48 (3):337--51.
  24. Philosophy of Mathematics.Jeremy Avigad - manuscript
    The philosophy of mathematics plays an important role in analytic philosophy, both as a subject of inquiry in its own right, and as an important landmark in the broader philosophical landscape. Mathematical knowledge has long been regarded as a paradigm of human knowledge with truths that are both necessary and certain, so giving an account of mathematical knowledge is an important part of epistemology. Mathematical objects like numbers and sets are archetypical examples of abstracta, since we treat such objects in (...)
    Remove from this list   Direct download (4 more)  
     
    Export citation  
     
    My bibliography  
  25. Philosophy of Mathematics: 5 Questions.Jeremy Avigad - 2007 - In V. F. Hendricks & Hannes Leitgeb (eds.), Philosophy of Mathematics: Five Questions. Automatic Press/VIP.
    In 1977, when I was nine years old, Doubleday released Asimov on Numbers, a collection of essays that had first appeared in Isaac Asimov’s Science Fiction and Fantasy column. My mother, recognizing my penchant for science fiction and mathematics, bought me a copy as soon as it hit the bookstores. The essays covered topics such as number systems, combinatorial curiosities, imaginary numbers, and π. I was especially taken, however, by an essay titled “Varieties of the infinite,” which included a photograph (...)
    Remove from this list   Direct download (4 more)  
     
    Export citation  
     
    My bibliography   1 citation  
  26. Gödel and Carnap.Steve Awodey & A. W. Carus - 2010 - In Kurt Gödel, Solomon Feferman, Charles Parsons & Stephen G. Simpson (eds.), Kurt Gödel: Essays for His Centennial. Association for Symbolic Logic.
  27. Sheaf Toposes for Realizability.Steven Awodey & Andrej Bauer - 2008 - Archive for Mathematical Logic 47 (5):465-478.
    Steve Awodey and Audrej Bauer. Sheaf Toposes for Realizability.
    Remove from this list   Direct download (8 more)  
     
    Export citation  
     
    My bibliography  
  28. Comments on Shapiro.Jody Azzouni - 1999 - Journal of Philosophy 96 (10):541.
  29. Review of P. Benacerraf and H. Putnam (Eds.), Philosophy of Mathematics: Selected Readings[REVIEW]R. J. B. - 1964 - Review of Metaphysics 18 (2):390-390.
    Remove from this list   Direct download  
     
    Export citation  
     
    My bibliography  
  30. Kurt Gödel and the Foundations of Mathematics: Horizons of Truth.Matthias Baaz (ed.) - 2011 - Cambridge University Press.
    Machine generated contents note: Part I. Historical Context - Gödel's Contributions and Accomplishments: 1. The impact of Gödel's incompleteness theorems on mathematics Angus Macintyre; 2. Logical hygiene, foundations, and abstractions: diversity among aspects and options Georg Kreisel; 3. The reception of Gödel's 1931 incompletabilty theorems by mathematicians, and some logicians, to the early 1960s Ivor Grattan-Guinness; 4. 'Dozent Gödel will not lecture' Karl Sigmund; 5. Gödel's thesis: an appreciation Juliette C. Kennedy; 6. Lieber Herr Bernays!, Lieber Herr Gödel! Gödel on (...)
    Remove from this list   Direct download  
     
    Export citation  
     
    My bibliography  
  31. B. Réponses de l'Enquête Sur l'Enseignement de Mathématique Et de Physique B. Replies on the Teaching of Mathematics and Physics Reply to the Questionnaire.Kazimierz Badziag - 1967 - Dialectica 21 (1‐4):157-158.
  32. On Turing’s Legacy in Mathematical Logic and the Foundations of Mathematics.Joan Bagaria - 2013 - Arbor 189 (764):a079.
    Remove from this list   Direct download (2 more)  
     
    Export citation  
     
    My bibliography  
  33. Review: Stewart Shapiro, Thinking About Mathematics. The Philosophy of Mathematics. [REVIEW]Mark Balaguer - 2002 - Bulletin of Symbolic Logic 8 (1):89-91.
  34. Do Mathematics Constitute a Scientific Continent?Aristides Baltas - 1995 - Neusis 3:97-108.
  35. Empiricism as a Historical Phenomenon of Philosophy of Mathematics.A. Barabashev - 1988 - Revue Internationale de Philosophie 42 (167):509-517.
  36. On the Impact of the World Outlook on Mathematical Creativity.A. G. Barabashev - 1988 - Philosophia Mathematica (1):1-20.
  37. Regularities and Modern Tendencies of the Development of Mathematics.A. G. Barabashev, S. S. Demidov & M. I. Panov - 1987 - Philosophia Mathematica (1):32-47.
  38. Philosophy of Mathematics.Stephen Francis Barker - 1964 - Englewood Cliffs, N.J., Prentice-Hall.
    Remove from this list  
     
    Export citation  
     
    My bibliography   2 citations  
  39. Review of I. Ekeland, The Broken Dice, and Other Mathematical Tales of Chance[REVIEW]Jeffrey A. Barrett - 1995 - Philosophia Mathematica 3 (3):310-313.
  40. Review of Stewart Shapiro (Ed.), The Oxford Handbook of Philosophy of Mathematics and Logic[REVIEW]JC Beall - 2005 - Notre Dame Philosophical Reviews 2005 (9).
  41. Computability in Europe 2008.Arnold Beckmann, Costas Dimitracopoulos & Benedikt Löwe - 2010 - Archive for Mathematical Logic 49 (2):119-121.
    Remove from this list   Direct download (4 more)  
     
    Export citation  
     
    My bibliography  
  42. The Search for Truth.Eric Temple Bell - 1934 - Baltimore: the Williams & Wilkins Company.
  43. Lectures on the Foundations of Mathematics.John Bell - manuscript
    THE CLOSE CONNECTION BETWEEN mathematics and philosophy has long been recognized by practitioners of both disciplines. The apparent timelessness of mathematical truth, the exactness and objective nature of its concepts, its applicability to the phenomena of the empirical world— explicating such facts presents philosophy with some of its subtlest problems. Let me begin by reminding you of some celebrated past attempts made by philosophers and mathematicians to explicate the nature of mathematics.
    Remove from this list  
     
    Export citation  
     
    My bibliography  
  44. The Philosophy of Mathematics.John Bell - manuscript
    THE CLOSE CONNECTION BETWEEN mathematics and philosophy has long been recognized by practitioners of both disciplines. The apparent timelessness of mathematical truth, the exactness and objective nature of its concepts, its applicability to the phenomena of the empirical world—explicating such facts presents philosophy with some of its subtlest problems. We shall discuss some of the attempts made by philosophers and mathematicians to explain the nature of mathematics. We begin with a brief presentation of the views of four major classical philosophers: (...)
    Remove from this list  
     
    Export citation  
     
    My bibliography  
  45. Paul Rusnock. Bolzano's Philosophy and the Emergence of Modern Mathematics. Studien Zur Österreichischen Philosophie [Studies in Austrian Philosophy], Vol. 30. Amsterdam & Atlanta: Editions Rodopi, 2000. Isbn 90-420-1501-2. Pp. 218. [REVIEW]John L. Bell - 2006 - Philosophia Mathematica 14 (3):362-364.
    Bernard Bolzano , one of the leading figures of the Bohemian Enlightenment, made important contributions both to mathematics and philosophy which were virtually unknown in his lifetime and are still largely unacknowledged today. As a mathematician, he was a pioneer in the clarification and rigorization of mathematical analysis; as a philosopher, he may be considered a forerunner of the analytic movement later to emerge with Frege and Russell.Rusnock's account of Bolzano's work is laid out in five chapters and two appendices. (...)
    Remove from this list   Direct download (9 more)  
     
    Export citation  
     
    My bibliography  
  46. Oppositions and Paradoxes in Mathematics and Philosophy.John L. Bell - 2004 - Axiomathes 15 (2):165-180.
    In this paper a number of oppositions which have haunted mathematics and philosophy are described and analyzed. These include the Continuous and the Discrete, the One and the Many, the Finite and the Infinite, the Whole and the Part, and the Constant and the Variable.
    Remove from this list   Direct download (4 more)  
     
    Export citation  
     
    My bibliography  
  47. Philosophy of Mathematics.Paul Benacerraf - 1964 - 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.
    Remove from this list   Direct download  
     
    Export citation  
     
    My bibliography   29 citations  
  48. Philosophy of Mathematics Selected Readings /Edited by Paul Benacerraf, Hilary Putnam. --. --.Paul Benacerraf & Hilary Putnam - 1983 - Cambridge University Press, 1983.
    Remove from this list  
     
    Export citation  
     
    My bibliography  
  49. Philosophy of Mathematics Selected Readings. Edited and with an Introd. By Paul Benacerraf and Hilary Putnam.Paul Benacerraf & Hilary Putnam - 1964 - Prentice-Hall.
    Remove from this list  
     
    Export citation  
     
    My bibliography  
  50. Philosophy of Mathematics: Selected Readings.Paul Benacerraf & Hilary Putnam (eds.) - 1964 - Cambridge University Press.
    The twentieth century has witnessed an unprecedented 'crisis in the foundations of mathematics', featuring a world-famous paradox, a challenge to 'classical' mathematics from a world-famous mathematician, a new foundational school, 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 with Bertrand Russell, W. V. Quine, and Gödel himself, and which remains at the focus of Anglo-Saxon philosophical discussion. The present collection (...)
    Remove from this list  
     
    Export citation  
     
    My bibliography  
1 — 50 / 430