Bookmark and Share

Philosophy of Mathematics

Edited by Øystein Linnebo (Birkbeck College)
Assistant editor: Sam Roberts (Birkbeck College, University of Oslo)
Most recently added entries found
Search inside:
(import / add options)   Order:
1 — 50 / 62
  1. added 2016-02-10
    Paolo Rossi (ed.) (1988). Storia della Scienza. Utet.
  2. added 2016-02-10
    Paolo Rossi (ed.) (1988). Storia della Scienza. Utet.
  3. added 2016-02-08
    Riccardo Pinosio & Michiel van Lambalgen, THE LOGIC OF TIME AND THE CONTINUUM IN KANT's CRITICAL PHILOSOPHY.
    We aim to show that Kant’s theory of time is consistent by providing axioms whose models validate all synthetic a priori principles for time proposed in the Critique of Pure Reason. In this paper we focus on the distinction between time as form of intuition and time as formal intuition, for which Kant’s own explanations are all too brief. We provide axioms that allow us to construct ‘time as formal intuition’ as a pair of continua, corresponding to time as ‘inner (...)
    Remove from this list   Direct download  
     
    Export citation  
     
    My bibliography  
  4. added 2016-02-08
    Michele Ginammi (2016). Avoiding Reification: Heuristic Effectiveness of Mathematics and the Prediction of the Omega Minus Particle. Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 53:20-27.
    According to Steiner (1998), in contemporary physics new important discoveries are often obtained by means of strategies which rely on purely formal mathematical considerations. In such discoveries, mathematics seems to have a peculiar and controversial role, which apparently cannot be accounted for by means of standard methodological criteria. M. Gell-Mann and Y. Ne׳eman׳s prediction of the Ω− particle is usually considered a typical example of application of this kind of strategy. According to Bangu (2008), this prediction is apparently based on (...)
    Remove from this list   Direct download (3 more)  
     
    Export citation  
     
    My bibliography  
  5. added 2016-02-08
    Ludovico Geymonat (1989). Lo storicismo scientifico di Federigo Enriques. In Federigo Enriques Filosofo e Scienziato a cura di Raffaella Simili, prefazione di Alberto Pasquinelli. Cappelli 191-199.
  6. added 2016-02-08
    Paolo Rossi, Fernardo Abbri, Enrico Bellone, Walter Bernardi, Umberto Bottazzini, Bernardino Fantini, Antonello La Vergata, Stefania Nicasi, Stefano Poggi, Mario Rossi Monti & Eugenio Torracca (eds.) (1988). Storia della Scienza - voll. 1-8. Utet.
  7. added 2016-02-08
    Paolo Rossi, Fernardo Abbri, Enrico Bellone, Walter Bernardi, Umberto Bottazzini, Bernardino Fantini, Antonello La Vergata, Stefania Nicasi, Stefano Poggi, Mario Rossi Monti & Eugenio Torracca (eds.) (1988). Storia della Scienza - voll. 1-8. Utet.
  8. added 2016-02-08
    Paolo Rossi (ed.) (1988). Storia della Scienza - voll. 1-8. Utet.
  9. added 2016-02-08
    Paolo Rossi, Fernardo Abbri, Enrico Bellone, Walter Bernardi, Umberto Bottazzini, Bernardino Fantini, Antonello La Vergata, Stefania Nicasi, Stefano Poggi, Mario Rossi Monti & Eugenio Torracca (eds.) (1988). Storia della Scienza - voll. 1-8. Utet.
  10. added 2016-02-08
    Paolo Rossi (ed.) (1988). Storia della Scienza - voll.8. Utet.
  11. added 2016-02-08
    John Corcoran (1983). 1983 Review in Mathematical Reviews 83e:03005 Of: Cocchiarella, Nino “The Development of the Theory of Logical Types and the Notion of a Logical Subject in Russell's Early Philosophy: Bertrand Russell's Early Philosophy, Part I”. Synthese 45 (1980), No. 1, 71-115. MATHEMATICAL REVIEWS 83:03005.
    CORCORAN RECOMMENDS COCCHIARELLA ON TYPE THEORY. The 1983 review in Mathematical Reviews 83e:03005 of: Cocchiarella, Nino “The development of the theory of logical types and the notion of a logical subject in Russell's early philosophy: Bertrand Russell's early philosophy, Part I”. Synthese 45 (1980), no. 1, 71-115 .
    Remove from this list   Direct download (2 more)  
     
    Export citation  
     
    My bibliography  
  12. added 2016-02-08
    Ludovico Geymonat (1971). Federigo Enriques e la storia della scienza. Physis 3.
  13. added 2016-02-08
    Ludovico Geymonat (1962). Storia della matematica. In Storia delle scienza - coordinata da Nicola Abbagnano - Torino.
  14. added 2016-02-08
    Ludovico Geymonat (1959). Peano e le sorti della logica in Italia. Bollettino UMI 1959.
  15. added 2016-02-08
    Adriano Carugo & Ludovico Geymonat (eds.) (1958). Discorsi e dimostrazioni matematiche intorno a due nuove scienze (1638). Einaudi.
  16. added 2016-02-06
    John Corcoran (1972). Reid, Constance. Hilbert (a Biography). Reviewed by Corcoran in Philosophy of Science 39 (1972), 106–08. Philosophy of Science 39 (1):106-108.
    Reid, Constance. Hilbert (a Biography). Reviewed by Corcoran in Philosophy of Science 39 (1972), 106–08. -/- Constance Reid was an insider of the Berkeley-Stanford logic circle. Her San Francisco home was in Ashbury Heights near the homes of logicians such as Dana Scott and John Corcoran. Her sister Julia Robinson was one of the top mathematical logicians of her generation, as was Julia’s husband Raphael Robinson for whom Robinson Arithmetic was named. Julia was a Tarski PhD and, in recognition of (...)
    Remove from this list   Direct download (2 more)  
     
    Export citation  
     
    My bibliography  
  17. added 2016-02-05
    E. R. Grosholz (2001). Critical Studies/Book Reviews. Philosophia Mathematica 9 (2):246-247.
    Remove from this list   Direct download (2 more)  
     
    Export citation  
     
    My bibliography  
  18. added 2016-02-05
    L. Mary & J. R. Brown (2001). Critical Studies/Book Reviews. Philosophia Mathematica 9 (2):248-252.
    Remove from this list   Direct download (2 more)  
     
    Export citation  
     
    My bibliography  
  19. added 2016-02-05
    M. Marion (2000). Critical Studies / Book Reviews. Philosophia Mathematica 8 (1):91-96.
    Remove from this list   Direct download (2 more)  
     
    Export citation  
     
    My bibliography  
  20. added 2016-02-05
    P. Ernest (1999). Critical Studies / Book Reviews. Philosophia Mathematica 7 (2):223-230.
    Remove from this list   Direct download (2 more)  
     
    Export citation  
     
    My bibliography  
  21. added 2016-02-05
    D. Gillies (1999). Critical Studies / Book Reviews. Philosophia Mathematica 7 (2):213-222.
    Remove from this list   Direct download (2 more)  
     
    Export citation  
     
    My bibliography  
  22. added 2016-02-05
    Leslie A. White (1974). The Locus of Mathematical Reality – an Anthropological Footnote. Philosophia Mathematica 1:97-126.
    Remove from this list   Direct download (2 more)  
     
    Export citation  
     
    My bibliography  
  23. added 2016-02-05
    Edmund Husserl (1973). On the Concept of Number: Psychological Analysis. Philosophia Mathematica 1:37-87.
    Remove from this list   Direct download (2 more)  
     
    Export citation  
     
    My bibliography  
  24. added 2016-02-05
    Patrick A. Heelan (1972). Hermeneutics of Experimental Science in the Context of the Life-World. Philosophia Mathematica 2:101-144.
    Remove from this list   Direct download (2 more)  
     
    Export citation  
     
    My bibliography  
  25. added 2016-02-02
    Pierre-Yves Rochefort (2015). L'itinéraire phiosophique d'Hilary Putnam, des mathématiques à l'éthique. Dissertation, Université de Montréal
    In this dissertation I propose a new reading of the philosophical itinerary of Hilary Putnam on the matter of realism. In essence, my purpose is to argue that there is much more continuity than is normally understood, and even a degree of permanence, in the way in which Putnam has viewed the question of realism throughout his career. To arrive at this interpretation of Putnam I essentially followed two veins in his work. First, in a volume published in the early (...)
    Remove from this list  
    Translate
      Direct download  
     
    Export citation  
     
    My bibliography  
  26. added 2016-02-02
    Pierre-Yves Rochefort (2015). Randall E. Auxier, Douglas R. Anderson et Lewis Edwin Hahn, The Philosophy of Hilary Putnam, Chicago Ill, Open Court, 2015, 948 p. [REVIEW] Philosophiques 42 (2):440-444.
  27. added 2016-01-31
    Audrey Yap (forthcoming). Stephen Pollard. A Mathematical Prelude to the Philosophy of Mathematics. Springer, 2014. ISBN: 978-3-319-05815-3 ; 978-3-319-05816-0 . Pp. Xi + 202. [REVIEW] Philosophia Mathematica:nkw001.
    Remove from this list   Direct download (3 more)  
     
    Export citation  
     
    My bibliography  
  28. added 2016-01-29
    Dirk Schlimm (forthcoming). Metaphors for Mathematics From Pasch to Hilbert. Philosophia Mathematica:nkv039.
    How mathematicians conceive of the nature of mathematics is reflected in the metaphors they use to talk about it. In this paper I investigate a change in the use of metaphors in the late nineteenth and early twentieth centuries. In particular, I argue that the metaphor of mathematics as a tree was used systematically by Pasch and some of his contemporaries, while that of mathematics as a building was deliberately chosen by Hilbert to reflect a different view of mathematics. By (...)
    Remove from this list   Direct download (3 more)  
     
    Export citation  
     
    My bibliography  
  29. added 2016-01-28
    Luca Incurvati & Benedikt Löwe (forthcoming). Restrictiveness Relative to Notions of Interpretation. Review of Symbolic Logic.
    Maddy gave a semi-formal account of restrictiveness by defining a formal notion based on a class of interpretations and explaining how to handle false positives and false negatives. Recently, Hamkins pointed out some structural issues with Maddy's definition. We look at Maddy's formal definitions from the point of view of an abstract interpretation relation. We consider various candidates for this interpretation relation, including one that is close to Maddy's original notion, but fixes the issues raised by Hamkins. Our work brings (...)
    Remove from this list   Direct download  
     
    Export citation  
     
    My bibliography  
  30. added 2016-01-27
    John Linus O'Sullivan, Gravity and General Relativity.
    Abstract: This report will graphically depict the coupling between Quantum Gravity and General Relativity. Space is from two types of energy in standing waves; energy with mass which is finite energy and energy without mass which is infinite. Given light speed is equal to frequency times wavelength where C = f λ then photons must be twice light speed on half wavelengths before mass is created. Light speed is a constant relative to mass in Special Relativity but photon half waves (...)
    Remove from this list   Direct download (2 more)  
     
    Export citation  
     
    My bibliography  
  31. added 2016-01-27
    Ludovico Geymonat (1980). Traduzione di Bertrand Russell, I principi della matematica. Longanesi.
  32. added 2016-01-27
    John Corcoran (1971). Discourse Grammars and the Structure of Mathematical Reasoning II: The Nature of a Correct Theory of Proof and Its Value. Journal of Structural Learning 3 (2):1-16.
    1971. Discourse Grammars and the Structure of Mathematical Reasoning II: The Nature of a Correct Theory of Proof and Its Value, Journal of Structural Learning 3, #2, 1–16. REPRINTED 1976. Structural Learning II Issues and Approaches, ed. J. Scandura, Gordon & Breach Science Publishers, New York, MR56#15263. -/- This is the second of a series of three articles dealing with application of linguistics and logic to the study of mathematical reasoning, especially in the setting of a concern (...)
    Remove from this list   Direct download (2 more)  
     
    Export citation  
     
    My bibliography  
  33. added 2016-01-27
    Ludovico Geymonat (1958). Il pensiero scientifico. Garzanti.
  34. added 2016-01-27
    Ludovico Geymonat (1942). Traduzione di Friedrich Waismann, Introduzione al pensiero matematico. Einaudi.
  35. added 2016-01-25
    Ludovico Geymonat (2008). Storia E Filosofia Dell'analisi Infinitesimale (1945-1949). Bollati Boringhieri.
  36. added 2016-01-25
    Paolo Rossi, Jean Dieudonné, René Thom, Clifford A. Truesdell, Tullio Regge, Ugo Amaldi, Enrico Bellone, Isabelle Stengers, Francisco J. Ayala, Vittorio Sgarabella, Yehuda Elkana, William Leiss, Saverio Avveduto, Abdul-Razzak Kaddoura & Mario Borillo (eds.) (1981). La nuova ragione. Scienza e cultura nella società contemporanea. Scientia/Il Mulino.
  37. added 2016-01-25
    Ludovico Geymonat, Giuseppe Peano, Giovanni Vailati, Federigo Enriques, Enrico Persico, Eugenio Colorni, Eugenio Frola, Giulio Preti & Giulio Giorello (eds.) (1977). L'immagine della scienza. Il dibattito sul significato dell'impresa scientifica nella cultura italiana. Il Saggiatore.
  38. added 2016-01-24
    Raffaele Pisano & Paolo Bussotti (2015). Fibonacci and the Abacus Schools in Italy. Mathematical Conceptual Streams - Education and its Changing Relationship with Society. Almagest 6 (2):126-164.
    In this paper we present the relations between mathematics and mathematics education in Italy between the 12th and the 16th century. Since the subject is extremely wide, we will focus on two case-studies to point out some relevant aspects of this phenomenon: 1) Fibonacci’s studies (12th-13th century); 2) Abacus schools. More particularly, Fibonacci, probably the greatest European mathematician of the Middle Ages, made the calculations with Hindu-Arabic digits widely spread in Europe; Abacus schools were also based on the teaching of (...)
    Remove from this list   Direct download  
     
    Export citation  
     
    My bibliography  
  39. added 2016-01-16
    Ludovico Geymonat, Renato Tisato, Gianni Micheli & Corrado Mangione (1970). Storia del Pensiero Filosofico e Scientifico - 2° vol. Garzanti.
  40. added 2016-01-16
    Ludovico Geymonat, Corrado Mangione, Gianni Micheli, Enrico Rambaldi, Renato Tisato & Felice Mondella (1970). Storia del Pensiero Filosofico e Scientifico - 4° vol. Garzanti.
  41. added 2016-01-13
    Brad Armendt (2005). Frank Plumpton Ramsey. In Sahotra Sarkar & Jessica Pfeifer (eds.), The Philosophy of Science: An Encyclopedia. Routledge 671-681.
    On the work of Frank Ramsey, emphasizing topics most relevant to philosophy of science.
    Remove from this list   Direct download  
     
    Export citation  
     
    My bibliography  
  42. added 2016-01-13
    John Corcoran (1978). Corcoran Recommends Hambourger on the Frege-Russell Number Definition. MATHEMATICAL REVIEWS 56.
    It is widely agreed by philosophers that the so-called “Frege-Russell definition of natural number” is actually an assertion concerning the nature of the numbers and that it cannot be regarded as a definition in the ordinary mathematical sense. On the basis of the reasoning in this paper it is clear that the Frege-Russell definition contradicts the following three principles (taken together): (1) each number is the same entity in each possible world, (2) each number exists in each (...)
    Remove from this list   Direct download  
     
    Export citation  
     
    My bibliography  
  43. added 2016-01-12
    Erich H. Reck & Roy T. Cook (forthcoming). Introduction to Special Issue Reconsidering Frege's Conception of Number Dedicated to the Memory of Aldo Antonelli. Philosophia Mathematica:nkv042.
    Remove from this list   Direct download (3 more)  
     
    Export citation  
     
    My bibliography  
  44. added 2016-01-12
    Eileen S. Nutting (forthcoming). To Bridge Gödel’s Gap. Philosophical Studies.
    In ‘‘Mathematical Truth,’’ Paul Benacerraf raises an epistemic challenge for mathematical platonists. In this paper, I examine the assumptions that motivate Benacerraf’s original challenge, and use them to construct a new causal challenge for the epistemology of mathematics. This new challenge, which I call ‘Go¨del’s Gap’, appeals to intuitive insights into mathematical knowledge. Though it is a causal challenge, it does not rely on any obviously objectionable constraints on knowledge. As a result, it is more compelling than the original challenge. (...)
    Remove from this list   Direct download (2 more)  
     
    Export citation  
     
    My bibliography  
  45. added 2016-01-10
    Alberto Pasquinelli (ed.) (1970). Stephen Francis Barker, Filosofia della matematica. Il Mulino.
  46. added 2016-01-08
    Justin Clarke-Doane (forthcoming). Debunking Arguments: Mathematics, Logic, and Modal Security. In Robert Richards and Michael Ruse (ed.), Cambridge Handbook of Evolutionary Ethics. Cambridge University Press
    I discuss the structure of genealogical debunking arguments. I argue that they undermine our mathematical beliefs if they undermine our moral beliefs. The contrary appearance stems from a confusion of arithmetic truths with (first-order) logical truths, or from a confusion of reliability with justification. I conclude with a discussion of the cogency of debunking arguments, in light of the above. Their cogency depends on whether information can undermine all of our beliefs of a kind, F, without giving us direct reason (...)
    Remove from this list   Direct download  
     
    Export citation  
     
    My bibliography  
  47. added 2016-01-06
    Rossano Pancaldi (1988). Einstein a Bologna. Bologna: Mensile dell'Amministrazione Comunale (4):40-41.
  48. added 2016-01-02
    John Corcoran (2014). Corcoran Reviews Boute’s 2013 Paper “How to Calculate Proofs”. MATHEMATICAL REVIEWS 14:444-555.
    Corcoran reviews Boute’s 2013 paper “How to calculate proofs”. -/- There are tricky aspects to classifying occurrences of variables: is an occurrence of ‘x’ free as in ‘x + 1’, is it bound as in ‘{x: x = 1}’, or is it orthographic as in ‘extra’? The trickiness is compounded failure to employ conventions to separate use of expressions from their mention. The variable occurrence is free in the term ‘x + 1’ but it is orthographic in that term’s (...)
    No categories
    Remove from this list   Direct download  
     
    Export citation  
     
    My bibliography  
  49. added 2015-12-19
    Teresa Kouri (forthcoming). Ante Rem Structuralism and the No-Naming Constraint. Philosophia Mathematica:nkv041.
    Tim Räz has presented what he takes to be a new objection to Stewart Shapiro's ante rem structuralism. Räz claims that ARS conflicts with mathematical practice. I will explain why this is similar to an old problem, posed originally by John Burgess in 1999 and Jukka Keränen in 2001, and show that Shapiro can use the solution to the original problem in Räz's case. Additionally, I will suggest that Räz's proposed treatment of the situation does not provide an argument for (...)
    Remove from this list   Direct download (3 more)  
     
    Export citation  
     
    My bibliography  
  50. added 2015-12-19
    Adam Nowaczyk (2004). Wprowadzenie do filozofii matematyki. Wydawnictwo Uniwersytetu Łódzkiego.
    Remove from this list  
    Translate
      Direct download (2 more)  
     
    Export citation  
     
    My bibliography  
1 — 50 / 62