Search results for 'Mathematics Congresses' (try it on Scholar)

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  1.  58 DLs
    Matthias Schirn (ed.) (1998). The Philosophy of Mathematics Today. Clarendon Press.score: 96.6
    This comprehensive volume gives a panorama of the best current work in this lively field, through twenty specially written essays by the leading figures in the field. All essays deal with foundational issues, from the nature of mathematical knowledge and mathematical existence to logical consequence, abstraction, and the notions of set and natural number. The contributors also represent and criticize a variety of prominent approaches to the philosophy of mathematics, including platonism, realism, nomalism, constructivism, and formalism.
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  2.  38 DLs
    Javier Echeverría, Andoni Ibarra & Thomas Mormann (eds.) (1992). The Space of Mathematics: Philosophical, Epistemological, and Historical Explorations. W. De Gruyter.score: 96.4
    The Protean Character of Mathematics SAUNDERS MAC LANE (Chicago) 1. Introduction The thesis of this paper is that mathematics is protean. ...
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  3.  16 DLs
    Imre Lakatos (ed.) (1967). Problems in the Philosophy of Mathematics. Amsterdam, North-Holland Pub. Co..score: 92.1
    In the mathematical documents which have come down to us from these peoples, there are no theorems or demonstrations, and the fundamental concepts of ...
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  4.  0 DLs
    Fred Richman (ed.) (1981). Constructive Mathematics: Proceedings of the New Mexico State University Conference Held at Las Cruces, New Mexico, August 11-15, 1980. [REVIEW] Springer-Verlag.score: 90.0
  5.  9 DLs
    Jens Erik Fenstad, Ivan Timofeevich Frolov & Risto Hilpinen (eds.) (1989). Logic, Methodology, and Philosophy of Science Viii: Proceedings of the Eighth International Congress of Logic, Methodology, and Philosophy of Science, Moscow, 1987. Sole Distributors for the U.S.A. And Canada, Elsevier Science.score: 82.1
    The volume contains 37 invited papers presented at the Congress, covering the areas of Logic, Mathematics, Physical Sciences, Biological Sciences and the ...
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  6.  0 DLs
    A. Díez, Javier Echeverría & Andoni Ibarra (eds.) (1990). Structures in Mathematical Theories: Reports of the San Sebastian International Symposium, September 25-29, 1990. Argitarapen Zerbitzua Euskal, Herriko Unibertsitatea.score: 70.0
     
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  7.  8 DLs
    A. Kino, John Myhill & Richard Eugene Vesley (eds.) (1970). Intuitionism and Proof Theory. Amsterdam,North-Holland Pub. Co..score: 60.0
    Our first aim is to make the study of informal notions of proof plausible. Put differently, since the raison d'étre of anything like existing proof theory seems to rest on such notions, the aim is nothing else but to make a case for proof theory; ...
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  8.  1 DLs
    Gerd Wechsung (ed.) (1984). Frege Conference 1984: Proceedings of the International Conference Held at Schwerin, Gdr, September 10-14, 1984. Akademie-Verlag.score: 60.0
  9.  0 DLs
    L. E. J. Brouwer, A. S. Troelstra & D. van Dalen (eds.) (1982). The L.E.J. Brouwer Centenary Symposium: Proceedings of the Conference Held in Noordwijkerhout, 8-13 June 1981. Sole Distributors for the U.S.A. And Canada, Elsevier Science Pub. Co..score: 60.0
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  10.  0 DLs
    Guy K. White (ed.) (1980). Changing Views of the Physical World, 1954-1979. Australian Academy of Science.score: 60.0
  11.  0 DLs
    Gabriel V. Orman (ed.) (1991). Proceedings of the Third Colloquium on Logic, Language, Mathematics Linguistics, Brasov, 23-25 Mai 1991. Society of Mathematics Sciences.score: 58.0
  12.  14 DLs
    Miklos Redei (1999). 'Unsolved Problems of Mathematics' J von Neumann's Address to the International Congress of Mathematicians, Amsterdam, September 2-9, 1954. The Mathematical Intelligencer 21:7-12.score: 42.1
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  13.  2 DLs
    A. P. Ershov & Donald Ervin Knuth (eds.) (1981). Algorithms in Modern Mathematics and Computer Science: Proceedings, Urgench, Uzbek Ssr, September 16-22, 1979. Springer-Verlag.score: 42.0
  14.  1 DLs
    A. Heyting (ed.) (1959). Constructivity in Mathematics. Amsterdam, North-Holland Pub. Co..score: 42.0
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  15.  1 DLs
    Stevo Todorcevic (2000). Baumgartner James E.. Bases for Aronszajn Trees. Tsukuba Journal of Mathematics, Vol. 9 (1985), Pp. 31–40. Baumgartner James E.. Polarized Partition Relations and Almost-Disjoint Functions. Logic, Methodology and Philosophy of Science VIII, Proceedings of the Eighth International Congress of Logic, Methodology and Philosophy of Science, Moscow, 1987, Edited by Fenstad Jens Erik, Frolov Ivan T., and Hilpinen Risto, Studies in Logic and the Foundations of Mathematics, Vol. 126, North-Holland, Amsterdam ... [REVIEW] Bulletin of Symbolic Logic 6 (4):497-498.score: 40.0
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  16.  0 DLs
    Alison Pease & Brendan Larvor (eds.) (2012). Proceedings of the Symposium on Mathematical Practice and Cognition Ii: A Symposium at the Aisb/Iacap World Congress 2012. Society for the Study of Artificial Intelligence and the Simulation of Behaviour.score: 40.0
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  17.  18 DLs
    Patrick Suppes (ed.) (1973). Logic, Methodology and Philosophy of Science. New York,American Elsevier Pub. Co..score: 34.1
    ELEMENTARY LOGIC GR. C. MOISIL Institute of Mathematics, Rumanian Academy, Bucharest, Rumania 1. We shall consider a typified logic of propositions. ...
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  18.  12 DLs
    Dag Prawitz, Brian Skyrms & Dag Westerståhl (eds.) (1994). Logic, Methodology, and Philosophy of Science Ix: Proceedings of the Ninth International Congress of Logic, Methodology, and Philosophy of Science, Uppsala, Sweden, August 7-14, 1991. [REVIEW] Elsevier.score: 32.0
    This volume is the product of the Proceedings of the 9th International Congress of Logic, Methodology and Philosophy of Science and contains the text of most of ...
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  19.  5 DLs
    Walter A. Carnielli & Luiz Carlos P. D. Pereira (eds.) (1995). Logic, Sets and Information: Proceedings of the Tenth Brazilian Conference on Mathematical Logic. Centro de Lógica, Epistemologia E História da Ciência, Unicamp.score: 32.0
    Proceedings of the Tenth Brazilian Conference on Mathematical Logic. Coleção CLE, volume 14, 1995. Centro De Lógica, Epistemologia e História da Ciência, Unicamp, Campinas, SP, Brazil.
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  20.  18 DLs
    Yehoshua Bar-Hillel (ed.) (1970). Mathematical Logic and Foundations of Set Theory. Amsterdam,North-Holland Pub. Co..score: 30.1
    LN , so f lies in the elementary submodel M'. Clearly co 9 M' . It follows that 6 = {f(n): n em} is included in M'. Hence the ordinals of M' form an initial ...
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  21.  4 DLs
    Ayda I. Arruda, R. Chuaqui & Newton C. A. Costa (eds.) (1980). Mathematical Logic in Latin America: Proceedings of the IV Latin American Symposium on Mathematical Logic Held in Santiago, December 1978. Sole Distributors for the U.S.A. And Canada, Elsevier North-Holland.score: 30.0
    (or not oveA-complete.) . Let * be a unary operator defined on the set F of formulas of the language £ (ie, if A is a formula of £, then *A is also a ...
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  22.  4 DLs
    Ruth Barcan Marcus, Georg Dorn & Paul Weingartner (eds.) (1986). Logic, Methodology, and Philosophy of Science, Vii: Proceedings of the Seventh International Congress of Logic, Methodology, and Philosophy of Science, Salzburg, 1983. Sole Distributors for the U.S.A. And Canada, Elsevier Science Pub. Co..score: 30.0
    Logic, Methodology and Philosophy of Science VII.
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  23.  1 DLs
    L. Jonathan Cohen (ed.) (1982). Logic, Methodology, and Philosophy of Science Vi: Proceedings of the Sixth International Congress of Logic, Methodology, and Philosophy of Science, Hannover, 1979. Sole Distributors for the U.S.A. And Canada, Elsevier North-Holland.score: 30.0
  24.  0 DLs
    John N. Crossley (ed.) (1975). Algebra and Logic: Papers From the 1974 Summer Research Institute of the Australian Mathematical Society, Monash University, Australia. Springer-Verlag.score: 30.0
     
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  25.  0 DLs
    Wilfrid Hodges (ed.) (1972). Conference in Mathematical Logic, London '70. New York,Springer-Verlag.score: 30.0
     
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  26.  0 DLs
    A. R. D. Mathias & H. Rogers (eds.) (1973). Cambridge Summer School in Mathematical Logic. New York,Springer-Verlag.score: 30.0
     
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  27.  0 DLs
    Th Skolem, G. Hasenjaeger, G. Kreisel, A. Robinson, H. Wang, L. Henkin & J. Łoś (eds.) (1971). Mathematical Interpretation of Formal Systems. North-Holland Pub. Co..score: 30.0
     
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  28.  0 DLs
    William Bragg Ewald (ed.) (1996). From Kant to Hilbert: A Source Book in the Foundations of Mathematics. Oxford University Press.score: 27.0
    This massive two-volume reference presents a comprehensive selection of the most important works on the foundations of mathematics. While the volumes include important forerunners like Berkeley, MacLaurin, and D'Alembert, as well as such followers as Hilbert and Bourbaki, their emphasis is on the mathematical and philosophical developments of the nineteenth century. Besides reproducing reliable English translations of classics works by Bolzano, Riemann, Hamilton, Dedekind, and Poincare, William Ewald also includes selections from Gauss, Cantor, Kronecker, and Zermelo, all translated here (...)
     
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  29.  7 DLs
    Milan Tasic (2008). On What Should Be Before All in the Philosophy of Mathematics. Proceedings of the Xxii World Congress of Philosophy 41:41-46.score: 26.0
    In the philosophy of mathematics, as in its a meta-domain, we find that the words as: consequentialism, implicativity, operationalism, creativism, fertility, … grasp at most of mathematical essence and that the questions of truthfulness, of common sense, or of possible models for (otherwise abstract) mathematical creations,i.e. of ontological status of mathematical entities etc. - of second order. Truthfulness of (necessary) succession of consequences from causes in the science of nature is violated yet with Hume, so that some traditional footings (...)
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  30.  5 DLs
    Ayda I. Arruda, Newton C. A. Costa & R. Chuaqui (eds.) (1977). Non-Classical Logics, Model Theory, and Computability: Proceedings of the Third Latin-American Symposium on Mathematical Logic, Campinas, Brazil, July 11-17, 1976. [REVIEW] Sale Distributors for the U.S.A. And Canada, Elsevier/North-Holland.score: 26.0
  31.  4 DLs
    Eva Neu, Michael Ch Michailov & Ursula Welscher (2008). Anthropology and Philosophy in Agenda 21 of UNO. Proceedings of the Xxii World Congress of Philosophy 37:195-202.score: 26.0
    Agenda 21 of United Nations demands better situation of ecology, economy, health, etc. in all countries. An evaluation of scientific contributions in international congresses of fundamental anthropological sciences (philosophy, psychology, psychosomatics, physiology, genito-urology, radio-oncology, etc.) demonstratesevidence of large discrepancies in the participation not only of developing and industrial countries, but also between the last ones themselves. Low degree of research and education leads to low degree of economy, health, ecology, etc. [Lit.: Neu, Michailov et al.: Physiology in Agenda 21. (...)
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  32.  98 DLs
    Simon B. Duffy (ed.) (2006). Virtual Mathematics: The Logic of Difference. Clinamen.score: 25.2
    Of all twentieth century philosophers, it is Gilles Deleuze whose work agitates most forcefully for a worldview privileging becoming over being, difference over sameness; the world as a complex, open set of multiplicities. Nevertheless, Deleuze remains singular in enlisting mathematical resources to underpin and inform such a position, refusing the hackneyed opposition between ‘static’ mathematical logic versus ‘dynamic’ physical world. This is an international collection of work commissioned from foremost philosophers, mathematicians and philosophers of science, to address the wide range (...)
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  33.  4 DLs
    Jeffry L. Hirst (2006). Reverse Mathematics of Separably Closed Sets. Archive for Mathematical Logic 45 (1):1-2.score: 25.0
    This paper contains a corrected proof that the statement “every non-empty closed subset of a compact complete separable metric space is separably closed” implies the arithmetical comprehension axiom of reverse mathematics.
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  34.  3 DLs
    Sam Sanders & Keita Yokoyama (2012). The Dirac Delta Function in Two Settings of Reverse Mathematics. Archive for Mathematical Logic 51 (1-2):99-121.score: 25.0
    The program of Reverse Mathematics (Simpson 2009) has provided us with the insight that most theorems of ordinary mathematics are either equivalent to one of a select few logical principles, or provable in a weak base theory. In this paper, we study the properties of the Dirac delta function (Dirac 1927; Schwartz 1951) in two settings of Reverse Mathematics. In particular, we consider the Dirac Delta Theorem, which formalizes the well-known property ${\int_\mathbb{R}f(x)\delta(x)\,dx=f(0)}$ of the Dirac delta function. (...)
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  35.  2 DLs
    Jeffry L. Hirst (1999). Reverse Mathematics of Prime Factorization of Ordinals. Archive for Mathematical Logic 38 (3):195-201.score: 25.0
    One of the earliest applications of Cantor's Normal Form Theorem is Jacobstahl's proof of the existence of prime factorizations of ordinals. Applying the techniques of reverse mathematics, we show that the full strength of the Normal Form Theorem is used in this proof.
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  36.  318 DLs
    Antony Eagle (2008). Mathematics and Conceptual Analysis. Synthese 161 (1):67–88.score: 24.8
    Gödel argued that intuition has an important role to play in mathematical epistemology, and despite the infamy of his own position, this opinion still has much to recommend it. Intuitions and folk platitudes play a central role in philosophical enquiry too, and have recently been elevated to a central position in one project for understanding philosophical methodology: the so-called ‘Canberra Plan’. This philosophical role for intuitions suggests an analogous epistemology for some fundamental parts of mathematics, which casts a number (...)
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  37.  275 DLs
    Justin Clarke-Doane (2012). Morality and Mathematics: The Evolutionary Challenge. Ethics 122 (2):313-340.score: 24.7
    It is commonly suggested that evolutionary considerations generate an epistemological challenge for moral realism. At first approximation, the challenge for the moral realist is to explain our having many true moral beliefs, given that those beliefs are the products of evolutionary forces that would be indifferent to the moral truth. An important question surrounding this challenge is the extent to which it generalizes. In particular, it is of interest whether the Evolutionary Challenge for moral realism is equally a challenge for (...)
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  38.  224 DLs
    Frank Plumpton Ramsey (1960). The Foundations of Mathematics and Other Logical Essays. Paterson, N.J.,Littlefield, Adams.score: 24.5
    THE FOUNDATIONS OF MATHEMATICS () PREFACE The object of this paper is to give a satisfactory account of the Foundations of Mathematics in accordance with ...
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  39.  220 DLs
    Ian Hacking (2011). Why is There Philosophy of Mathematics AT ALL? South African Journal of Philosophy 30 (1):1-15.score: 24.5
    Mathematics plays an inordinate role in the work of many of famous Western philosophers, from the time of Plato, through Husserl and Wittgenstein, and even to the present. Why? This paper points to the experience of learning or making mathematics, with an emphasis on proof. It distinguishes two sources of the perennial impact of mathematics on philosophy. They are classified as Ancient and Enlightenment. Plato is emblematic of the former, and Kant of the latter. The Ancient fascination (...)
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  40.  209 DLs
    Paola Cantù (2010). Aristotle's Prohibition Rule on Kind-Crossing and the Definition of Mathematics as a Science of Quantities. Synthese 174 (2):225 - 235.score: 24.5
    The article evaluates the Domain Postulate of the Classical Model of Science and the related Aristotelian prohibition rule on kind-crossing as interpretative tools in the history of the development of mathematics into a general science of quantities. Special reference is made to Proclus’ commentary to Euclid’s first book of Elements , to the sixteenth century translations of Euclid’s work into Latin and to the works of Stevin, Wallis, Viète and Descartes. The prohibition rule on kind-crossing formulated by Aristotle in (...)
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  41.  207 DLs
    Stewart Shapiro (2011). Epistemology of Mathematics: What Are the Questions? What Count as Answers? Philosophical Quarterly 61 (242):130-150.score: 24.5
    A paper in this journal by Fraser MacBride, ‘Can Ante Rem Structuralism Solve the Access Problem?’, raises important issues concerning the epistemological goals and burdens of contemporary philosophy of mathematics, and perhaps philosophy of science and other disciplines as well. I use a response to MacBride's paper as a framework for developing a broadly holistic framework for these issues, and I attempt to steer a middle course between reductive foundationalism and extreme naturalistic quietism. For this purpose the notion of (...)
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  42.  198 DLs
    Paola Cantù, Bolzano Versus Kant: Mathematics as a Scientia Universalis. Philosophical Papers Dedicated to Kevin Mulligan.score: 24.5
    The paper discusses some changes in Bolzano's definition of mathematics attested in several quotations from the Beyträge, Wissenschaftslehre and Grössenlehre: is mathematics a theory of forms or a theory of quantities? Several issues that are maintained throughout Bolzano's works are distinguished from others that were accepted in the Beyträge and abandoned in the Grössenlehre. Changes are interpreted as a consequence of the new logical theory of truth introduced in the Wissenschaftslehre, but also as a consequence of the overcome (...)
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  43.  167 DLs
    Alison Pease & Andrew Aberdein (2011). Five Theories of Reasoning: Interconnections and Applications to Mathematics. Logic and Logical Philosophy 20 (1-2):7-57.score: 24.4
    The last century has seen many disciplines place a greater priority on understanding how people reason in a particular domain, and several illuminating theories of informal logic and argumentation have been developed. Perhaps owing to their diverse backgrounds, there are several connections and overlapping ideas between the theories, which appear to have been overlooked. We focus on Peirce’s development of abductive reasoning [39], Toulmin’s argumentation layout [52], Lakatos’s theory of reasoning in mathematics [23], Pollock’s notions of counterexample [44], and (...)
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  44.  157 DLs
    Jason L. Megill, Tim Melvin & Alex Beal (2014). On Some Properties of Humanly Known and Humanly Knowable Mathematics. Axiomathes 24 (1):81-88.score: 24.4
    We argue that the set of humanly known mathematical truths (at any given moment in human history) is finite and so recursive. But if so, then given various fundamental results in mathematical logic and the theory of computation (such as Craig’s in J Symb Log 18(1): 30–32(1953) theorem), the set of humanly known mathematical truths is axiomatizable. Furthermore, given Godel’s (Monash Math Phys 38: 173–198, 1931) First Incompleteness Theorem, then (at any given moment in human history) humanly known mathematics (...)
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  45.  132 DLs
    John Bigelow (1988). The Reality of Numbers: A Physicalist's Philosophy of Mathematics. Oxford University Press.score: 24.3
    Challenging the myth that mathematical objects can be defined into existence, Bigelow here employs Armstrong's metaphysical materialism to cast new light on mathematics. He identifies natural, real, and imaginary numbers and sets with specified physical properties and relations and, by so doing, draws mathematics back from its sterile, abstract exile into the midst of the physical world.
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  46.  131 DLs
    John P. Burgess & Gideon A. Rosen (1997). A Subject with No Object: Strategies for Nominalistic Interpretation of Mathematics. Oxford University Press.score: 24.3
    Numbers and other mathematical objects are exceptional in having no locations in space or time or relations of cause and effect. This makes it difficult to account for the possibility of the knowledge of such objects, leading many philosophers to embrace nominalism, the doctrine that there are no such objects, and to embark on ambitious projects for interpreting mathematics so as to preserve the subject while eliminating its objects. This book cuts through a host of technicalities that have obscured (...)
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  47.  108 DLs
    Paul Benacerraf & Hilary Putnam (eds.) (1983). Philosophy of Mathematics: Selected Readings. Cambridge University Press.score: 24.3
    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. V. Quine, (...)
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  48.  98 DLs
    Feng Ye (2010). What Anti-Realism in Philosophy of Mathematics Must Offer. Synthese 175 (1):13 - 31.score: 24.2
    This article attempts to motivate a new approach to anti-realism (or nominalism) in the philosophy of mathematics. I will explore the strongest challenges to anti-realism, based on sympathetic interpretations of our intuitions that appear to support realism. I will argue that the current anti-realistic philosophies have not yet met these challenges, and that is why they cannot convince realists. Then, I will introduce a research project for a new, truly naturalistic, and completely scientific approach to philosophy of mathematics. (...)
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  49.  94 DLs
    Carlo Cellucci (1996). Mathematical Logic: What has It Done for the Philosophy of Mathematics? In Piergiorgio Odifreddi (ed.), Kreiseliana. About and Around Georg Kreisel, pp. 365-388. A K Petersscore: 24.2
    onl y to discuss some claims concerning the relationship between mathematical logic and the philosophy of mathematics that repeatedly occur in his writings. Although I do not know to what extent they are representative of his present position, they correspond to widespread views of the logical community and so seem worth discussing anyhow. Such claims will be used as reference to make some remarks about the present state of relations between mathematical logic and the philosophy of mathematics.
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  50.  91 DLs
    Michael D. Resnik (1997). Mathematics as a Science of Patterns. New York ;Oxford University Press.score: 24.2
    This book expounds a system of ideas about the nature of mathematics which Michael Resnik has been elaborating for a number of years. In calling mathematics a science he implies that it has a factual subject-matter and that mathematical knowledge is on a par with other scientific knowledge; in calling it a science of patterns he expresses his commitment to a structuralist philosophy of mathematics. He links this to a defense of realism about the metaphysics of (...)--the view that mathematics is about things that really exist. (shrink)
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