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  1. Mohan Ganesalingam. The Language of Mathematics: A Linguistic and Philosophical Investigation. FoLLI Publications on Logic, Language and Information. [REVIEW]Andrew Aberdein - 2017 - Philosophia Mathematica 25 (1):143–147.
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  2. Advances in Experimental Philosophy of Logic and Mathematics.Andrew Aberdein & Matthew Inglis (eds.) - forthcoming - London: Bloomsbury Press.
  3. The Rise of the Foundational Research in Mathematics.Evandro Agazzi - 1974 - Synthese 27 (1-2):7 - 26.
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  4. Philosophy of Mathematics Today.Evandro Agazzi & György Darvas (eds.) - 1997 - Kluwer Academic Publishers.
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  5. Review of Sicha. J, A Metaphysics of Elementary Mathematics[REVIEW]Tryg A. Ager - 1976 - International Studies in Philosophy 8:196-198.
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  6. Il Teorema di Goedel E le Antinomie Negative.Italo Aimonetto - 1978 - Filosofia.
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  7. Social Influence on Physics and Mathematics: Local or Attributive?Murad D. Akhundov - 2005 - Journal for General Philosophy of Science / Zeitschrift für Allgemeine Wissenschaftstheorie 36 (1):135-149.
    The article is devoted to the nature of science. To what extent are science and mathematics affected by the society in which they are developed? Philosophy of science has accepted the social influence on science, but limits it only to the context of discovery (a "locational" approach). An opposite "attributive" approach states that any part of science may be so influenced. L. Graham is sure that even the mathematical equations at the core of fundamental physical theories may display social attributes. (...)
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  8. Review of Truth, Reference and Realism. [REVIEW]Jamin Asay - 2012 - International Studies in the Philosophy of Science 26 (3):345-348.
    International Studies in the Philosophy of Science, Volume 26, Issue 3, Page 345-348, September 2012.
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  9. Critical Studies/Book Reviews. [REVIEW]Mark Atten - 2003 - Philosophia Mathematica 11 (2):241-244.
  10. Mathematical Concepts and Proofs From Nicole Oresme.Jeff Babb - 2005 - Science and Education 14 (3-5):443-456.
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  11. Theory and Applications of Satisfiability Testing: 8th International Conference, Sat 2005, St Andrews, Uk, June 19-23, 2005: Proceedings. [REVIEW]Fahiem Bacchus & Toby Walsh (eds.) - 2005 - Springer.
    This book constitutes the refereed proceedings of the 8th International Conference on Theory and Applications of Satisfiability Testing, SAT 2005, held in St Andrews, Scotland in June 2005. The 26 revised full papers presented together with 16 revised short papers presented as posters during the technical programme were carefully selected from 73 submissions. The whole spectrum of research in propositional and quantified Boolean formula satisfiability testing is covered including proof systems, search techniques, probabilistic analysis of algorithms and their properties, problem (...)
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  12. Non-Deductive Methods in Mathematics.Alan Baker - 2010 - Stanford Encyclopedia of Philosophy.
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  13. Experimental Mathematics.Alan Baker - 2008 - Erkenntnis 68 (3):331-344.
    The rise of the field of “ experimental mathematics” poses an apparent challenge to traditional philosophical accounts of mathematics as an a priori, non-empirical endeavor. This paper surveys different attempts to characterize experimental mathematics. One suggestion is that experimental mathematics makes essential use of electronic computers. A second suggestion is that experimental mathematics involves support being gathered for an hypothesis which is inductive rather than deductive. Each of these options turns out to be inadequate, and instead a third suggestion is (...)
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  14. Review: Stewart Shapiro, Thinking About Mathematics. The Philosophy of Mathematics. [REVIEW]Mark Balaguer - 2002 - Bulletin of Symbolic Logic 8 (1):89-91.
  15. Critical Studies / Book Reviews.Mark Balaguer - 1999 - Philosophia Mathematica 7 (1):108-126.
  16. Kant and Whitehead, and the Philosophy of Mathematics.Edward G. Ballard - 1961 - Tulane Studies in Philosophy 10:3-29.
  17. In Support of Significant Modernization of Original Mathematical Texts (in Defense of Presentism).A. G. Barabashev - 1997 - Philosophia Mathematica 5 (1):21-41.
    At their extremes, the modernization of ancient mathematical texts (absolute presentism) leaves nothing of the source and the refusal to modernize (absolute antiquarism) changes nothing. The extremes exist only as tendencies. This paper attempts to justify the admissibility of broad modernization of mathematical sources (presentism) in the context of a socio-cultural (non-fundamentalist) philosophy of mathematics.
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  18. Demythologising Mathematics: Gödel, Escher, Bach Revisited.Sean Barker - 1985 - New Blackfriars 66 (778):188-196.
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  19. Book Reviews. [REVIEW]Jeffrey Barrett - 1995 - Philosophia Mathematica 3 (3):310-313.
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  20. Proceedings of the Conference on Foundations of Mathematics and Physics, Perugia, Italy, 1989.U. Bartocci & James Paul Wesley - 1990
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  21. Critical Studies / Book Reviews.Jon Barwise - 1999 - Philosophia Mathematica 7 (2):238-240.
  22. Review of J. Hintikka, The Principles of Mathematics Revisited[REVIEW]O. Bradley Bassler - 1997 - Review of Metaphysics 51 (2):424-425.
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  23. The Principles of Mathematics Revisited. [REVIEW]O. Bradley Bassler - 1997 - Review of Metaphysics 51 (2):424-425.
  24. The Instrumentalist and Formalist Elements of Berkeley's Philosophy of Mathematics.Robert J. Baum - 1972 - Studies in History and Philosophy of Science Part A 3 (2):119-134.
    The main thesis of this paper is that, Contrary to general belief, George berkeley did in fact express a coherent philosophy of mathematics in his major published works. He treated arithmetic and geometry separately and differently, And this paper focuses on his philosophy of arithmetic, Which is shown to be strikingly similar to the 19th and 20th century philosophies of mathematics known as 'formalism' and 'instrumentalism'. A major portion of the paper is devoted to showing how this philosophy of mathematics (...)
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  25. Hintikka on the Foundations of Mathematics: IF Logic and Uniformity Concepts.André Bazzoni - 2015 - Journal of Philosophical Logic 44 (5):507-516.
    The initial goal of the present paper is to reveal a mistake committed by Hintikka in a recent paper on the foundations of mathematics. His claim that independence-friendly logic is the real logic of mathematics is supported in that article by an argument relying on uniformity concepts taken from real analysis. I show that the central point of his argument is a simple logical mistake. Second and more generally, I conclude, based on the previous remarks and on another standard fact (...)
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  26. On the Concepts of Function and Dependence.André Bazzoni - 2015 - Principia: An International Journal of Epistemology 19 (1):01-15.
    This paper briefly traces the evolution of the function concept until its modern set theoretic definition, and then investigates its relationship to the pre-formal notion of variable dependence. I shall argue that the common association of pre-formal dependence with the modern function concept is misconceived, and that two different notions of dependence are actually involved in the classic and the modern viewpoints, namely effective and functional dependence. The former contains the latter, and seems to conform more to our pre-formal conception (...)
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  27. E. W. Beth, The Foundations of Mathematics.Oskar Becker - 1960 - Philosophische Rundschau 8 (1):74.
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  28. Mathematical Studies.Stephen Bedding, Mal Coad, Jane Forrest, Beryl Fussey & Paula Waldman de Tokman - 2007 - Oxford University Press.
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  29. Review of B. Rotman, Ad Infinitum - The Ghost In Turing's Machine: Taking God Out of Mathematics and Putting the Body Back In: An Essay in Corporeal Semiotics[REVIEW]J. L. Bell - 1995 - Philosophia Mathematica 3 (2):218-221.
  30. Hao Wang, "Reflections on Kurt Gödel". [REVIEW]J. L. Bell - 1989 - Philosophical Quarterly 39 (54):115.
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  31. S. Feferman Et Al. "Collected Works of Kurt Godel, Vol. 1". [REVIEW]J. L. Bell - 1987 - Philosophical Quarterly 37 (47):216.
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  32. Collected Works of Kurt Godel: Volume I.J. L. Bell & S. Feferman - 1987 - Philosophical Quarterly 37 (147):216.
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  33. Reflections on Kurt Godel.J. L. Bell & Hao Wang - 1989 - Philosophical Quarterly 39 (154):115.
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  34. Contribution to “Philosophy of Mathematics: 5 Questions”.John Bell - 2007 - In V. F. Hendricks & Hannes Leitgeb (eds.), Philosophy of Mathematics: Five Questions. Automatic Press/VIP.
    V. Hendricks and H. Leitgeb, eds., Automatic Press, 2007.
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  35. Mathematics, Systems and Society an Informal Essay.Richard Ernest Bellman - 1972 - Statens Naturvetenskapliga Forskningsråd.
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  36. A Neo-Kantian Approach in the Philosophy of Mathematics.Luca Bellotti - 2013 - In Margit Ruffing, Claudio La Rocca, Alfredo Ferrarin & Stefano Bacin (eds.), Kant Und Die Philosophie in Weltbürgerlicher Absicht: Akten des Xi. Kant-Kongresses 2010. De Gruyter. pp. 3-6.
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  37. Comments on Maddy and Tymoczko.Paul Benacerraf - 1984 - PSA: Proceedings of the Biennial Meeting of the Philosophy of Science Association 1984:476 - 485.
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  38. Review of C. Parsons, Mathematics and Philosophy: Selected Essays[REVIEW]Jose Benardete - 1985 - Review of Metaphysics 38 (3):674-676.
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  39. Mathematics and Philosophy: Selected Essays. [REVIEW]Jose Benardete - 1985 - Review of Metaphysics 38 (3):674-676.
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  40. An Euclidean Measure of Size for Mathematical Universes.Vieri Benci, Mauro Nasso & Marco Forti - 2007 - Logique Et Analyse 50.
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  41. Société Mathématique de Belgique - Belgisch Wiskundig Genootschap.E. Bencivenga - 1983 - Logique Et Analyse:247.
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  42. Kurt Gödel (1906-1978).David Berlinski - 1980 - Revue de Métaphysique et de Morale 85 (4):509 - 518.
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  43. The Gödel Paradox and Wittgenstein's Reasons.Francesco Berto - 2009 - Philosophia Mathematica 17 (2):208-219.
    An interpretation of Wittgenstein’s much criticized remarks on Gödel’s First Incompleteness Theorem is provided in the light of paraconsistent arithmetic: in taking Gödel’s proof as a paradoxical derivation, Wittgenstein was drawing the consequences of his deliberate rejection of the standard distinction between theory and metatheory. The reasoning behind the proof of the truth of the Gödel sentence is then performed within the formal system itself, which turns out to be inconsistent. It is shown that the features of paraconsistent arithmetics match (...)
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  44. Logica Universalis: Towards a General Theory of Logic.Jean-Yves Béziau (ed.) - 2005 - Birkhäuser.
    Universal Logic is not a new logic, but a general theory of logics, considered as mathematical structures. The name was introduced about ten years ago, but the subject is as old as the beginning of modern logic: Alfred Tarski and other Polish logicians such as Adolf Lindenbaum developed a general theory of logics at the end of the 1920s based on consequence operations and logical matrices. The subject was revived after the flowering of thousands of new logics during the last (...)
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  45. Patterns of Argument.Manuel Bilsky - 1963 - New York: Holt, Rinehart and Winston.
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  46. Book Review:The Philosophy of Mathematics Edward A. Maziarz. [REVIEW]Erwin Biser - 1957 - Philosophy of Science 24 (4):357-.
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  47. The Nature of Mathematics a Critical Survey.Max Black - 1933 - K. Paul, Trench, Trubner & Co., Ltd. Harcourt, Brac and Company.
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  48. Book Reviews and Critical Studies. [REVIEW]Virginia Black, Stephen L. Darwall & L. Baronovitch - 1981 - Philosophia 9 (3-4):339-373.
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  49. Review of A. George and D. J. Velleman, Philosophies of Mathematics.Patricia Blanchette - 2003 - Philosophia Mathematica 11 (3):358-362.
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  50. Critical Studies / Book Reviews. [REVIEW]Patricia Blanchette - 2003 - Philosophia Mathematica 11 (3):358-362.
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1 — 50 / 588