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  1. added 2020-05-05
    The Role of Mathematical Tools in Scientific Phenomenon Explanation–A Guarantee of Reliability or a Pillar of False Credibility?Vladimir Drekalović - 2020 - Filosofija. Sociologija 31 (1).
    Ever since its beginnings, mathematics has occupied a special position among all sciences, natural, as well as social sciences and humanities. It has not only provided a role model in terms of methodology, particularly when it comes to natural sciences, but other sciences have always relied on mathematics extensively both in their development and for solving various open questions. The beginning of the 21st century foregrounded the issue of the so-called explanatory role of mathematics in science. However, the reference literature (...)
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  2. added 2020-05-05
    Can Arguments of Formal Naturalism Be Used to Show That the Mathematical Explanation is Indispensable in Science?Vladimir Drekalović - 2016 - Filozofska Istrazivanja 36 (3):545-559.
    In the philosophy of mathematics, it is well known that the Platonists support the view of the existence of mathematical objects. The so-called Enhanced indispensability argument EIA, recently explicitly formulated by Alan Baker in the form of modal syllogisms, can be understood as an attempt to support this Platonic view. this argument has recently caused a number of different reactions. A small number of analyses supported the argument or any of its parts. We will single out exactly one such analysis (...)
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  3. added 2020-03-27
    "Remarks on the Foundations of Mathematics". By Ludwig Wittgenstein.G. D. Duthie - 1957 - Philosophical Quarterly 7 (29):368-373.
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  4. added 2020-03-18
    Reseña de ‘Soy un Bucle Extraño’ ( I am a Strange Loop) de Douglas Hofstadter (2007) (reseña revisado 2019).Michael Richard Starks - 2020 - In Comprender las Conexiones entre Ciencia, Filosofía, Psicología, Religión, Política, Economía, Historia y Literatura - Artículos y reseñas 2006-2019. Las Vegas, NV USA: Reality Press. pp. 265-282.
    Último sermón de la iglesia del naturalismo fundamentalista por el pastor Hofstadter. Al igual que su mucho más famoso (o infame por sus incesantemente errores filosóficos) trabajo Godel, Escher, Bach, tiene una plausibilidad superficial, pero si se entiende que se trata de un científico rampante que mezcla problemas científicos reales con los filosóficos (es decir, el sólo los problemas reales son los juegos de idiomas que debemos jugar) entonces casi todo su interés desaparece. Proporciono un marco para el análisis basado (...)
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  5. added 2020-02-11
    Philosophie I Maximen 0 / Philosophy I Maxims 0: Philosophische Notizbücher Band 1 / Philosophical Notebooks Volume 1.Kurt Gödel - 2019 - Berlin / Boston: De Gruyter.
    Over a period of 22 years (1934-1955), the mathematician Kurt Gödel wrote down a series of philosophical reflections, the so-called Philosophical Remarks (Max Phil). They have been handed down in 15 notebooks written in Gabelsberg shorthand. The first notebook contains general philosophical reflections. Notebooks two and three consist of Gödel's individual ethics. The notebooks that follow clearly show that Gödel had designed a philosophy of science in which he placed his discussions of physics, psychology, biology, mathematics, language, theology, and history (...)
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  6. added 2020-02-11
    The Search for Certainty: A Philosophical Account of Foundations of Mathematics.James Robert Brown - 2004 - Mind 113 (449):177-179.
  7. added 2020-02-04
    A Dilemma for Mathematical Constructivism.Samuel Kahn - 2020 - Axiomathes:01-10.
    In this paper I argue that constructivism in mathematics faces a dilemma. In particular, I maintain that constructivism is unable to explain (i) the application of mathematics to nature and (ii) the intersubjectivity of mathematics unless (iii) it is conjoined with two theses that reduce it to a form of mathematical Platonism. The paper is divided into five sections. In the first section of the paper, I explain the difference between mathematical constructivism and mathematical Platonism and I outline my argument. (...)
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  8. added 2020-01-23
    Mathematical Explanation as Part of an (Im) Perfect Scientific Explanation: An Analysis of Two Examples.Vladimir Drekalović - 2019 - Filozofia Nauki 28 (4):23-41.
    Alan Baker argues that mathematical objects play an indispensable explanatory role in science. There are several examples cited in the literature as solid candidates for such a role. We discuss two such examples and show that they are very different in their strength and (im)perfection, although both are recognized by the scientific community as examples of the best scientific explanations of particular phenomena. More specifically, it will be shown that the explanation of the cicada case has serious shortcomings compared with (...)
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  9. added 2019-11-29
    Reseña de ‘Soy un Bucle Extraño’ ( I am a Strange Loop) de Douglas Hofstadter.Michael Richard Starks - 2019 - In Observaciones Sobre Imposibilidad, Incompleta, Paracoherencia,Indecisión,Aleatoriedad, Computabilidad, Paradoja E Incertidumbre En Chaitin, Wittgenstein, Hofstadter, Wolpert, Doria, Dacosta, Godel, Searle, Rodych, Berto,Floyd, Moyal-Sharrock Y Yanofsky. Las Vegas, NV USA: Reality Press. pp. 21-43.
    Último sermón de la iglesia del naturalismo fundamentalista por el pastor Hofstadter. Al igual que su mucho más famoso (o infame por sus incesantemente errores filosóficos) trabajo Godel, Escher, Bach, tiene una plausibilidad superficial, pero si se entiende que se trata de un científico rampante que mezcla problemas científicos reales con los filosóficos (es decir, el sólo los problemas reales son los juegos de idiomas que debemos jugar) entonces casi todo su interés desaparece. Proporciono un marco para el análisis basado (...)
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  10. added 2019-10-21
    Takeuti's Proof Theory in the Context of the Kyoto School.Andrew Arana - 2019 - Jahrbuch Für Philosophie Das Tetsugaku-Ronso 46:1-17.
    Gaisi Takeuti (1926–2017) is one of the most distinguished logicians in proof theory after Hilbert and Gentzen. He extensively extended Hilbert's program in the sense that he formulated Gentzen's sequent calculus, conjectured that cut-elimination holds for it (Takeuti's conjecture), and obtained several stunning results in the 1950–60s towards the solution of his conjecture. Though he has been known chiefly as a great mathematician, he wrote many papers in English and Japanese where he expressed his philosophical thoughts. In particular, he used (...)
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  11. added 2019-09-19
    On the Alleged Simplicity of Impure Proof.Andrew Arana - 2017 - In Roman Kossak & Philip Ording (eds.), Simplicity: Ideals of Practice in Mathematics and the Arts. pp. 207-226.
    Roughly, a proof of a theorem, is “pure” if it draws only on what is “close” or “intrinsic” to that theorem. Mathematicians employ a variety of terms to identify pure proofs, saying that a pure proof is one that avoids what is “extrinsic,” “extraneous,” “distant,” “remote,” “alien,” or “foreign” to the problem or theorem under investigation. In the background of these attributions is the view that there is a distance measure (or a variety of such measures) between mathematical statements and (...)
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  12. added 2019-08-28
    ملاحظات على استحالة, عدم اكتمال, بارااتساق,عدم تحديد, عشوائية, الحوسبة, مفارقة, وعدم اليقين في Chaitin, Wittgenstein, Hofstadter, Wolpert, دوريا, دا كوستا, جوديل, سيرل, روديش, بيرتو, فلويد, مويال شاروك ويانوفسكي.Michael Richard Starks - 2019 - Las Vegas, NV USA: Reality Press.
    ويعتقد عادة أن الاستحالة، وعدم اكتمال، وParaconsistency، وعدم تحديد، العشوائية، والحوسبة، والمفارقة، وعدم اليقين وحدود العقل هي قضايا علمية مادية أو رياضية متباينة وجود القليل أو لا شيء في المشتركه. أقترح أنها مشاكل فلسفية قياسية إلى حد كبير (أي ألعاب اللغة) التي تم حلها في الغالب من قبل فيتغنشتاين أكثر من 80years منذ. -/- "إن ما نميل إلى قوله في مثل هذه الحالة هو، بطبيعة الحال، ليس فلسفة، ولكنه مادة خام. وهكذا، على سبيل المثال، ما يميل عالم الرياضيات إلى قوله (...)
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  13. added 2019-08-28
    Pernyataan tentang kemustahilan, ketidaklengkapan, Paraconsistency,Undecidability, Randomness, Komputabilitas, paradoks, dan ketidakpastian dalam Chaitin, Wittgenstein, Hofstadter, Wolpert, Doria, da Costa, Godel, Searle, Rodych, Berto, Floyd, Moyal-Sharrock dan Yanofsky.Michael Richard Starks - 2019 - Las Vegas, NV USA: Reality Press.
    Hal ini sering berpikir bahwa kemustahilan, ketidaklengkapan, Paraconsistency, Undecidability, Randomness, komputasi, Paradox, ketidakpastian dan batas alasan yang berbeda ilmiah fisik atau matematika masalah memiliki sedikit atau tidak ada dalam Umum. Saya menyarankan bahwa mereka sebagian besar masalah filosofis standar (yaitu, Permainan bahasa) yang sebagian besar diselesaikan oleh Wittgenstein lebih dari 80years yang lalu. -/- "Apa yang kita ' tergoda untuk mengatakan ' dalam kasus seperti ini, tentu saja, bukan filsafat, tetapi bahan baku. Jadi, misalnya, apa yang seorang matematikawan cenderung mengatakan (...)
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  14. added 2019-08-28
    असंभव, अपूर्णता, अनिर्णय, अनिर्णय, यादृच्छिकता, गणना, विरोधाभास, और चैटिन, विटगेनस्टीन, Hofstadter, Wolpert, डोरिया, दा कोस्टा, गोडेल, सीरले, Rodych, Berto, Floyd में अनिश्चितता पर टिप्पणी मोयाल-शररॉक और यानोफ्स्की.Michael Richard Starks - 2019 - Las Vegas, NV USA: Reality Press.
    यह आमतौर पर सोचा जाता है कि असंभवता, अपूर्णता, Paraconsistency, अनिर्णितता, Randomness, Computability, विरोधाभास, अनिश्चितता और कारण की सीमा अलग वैज्ञानिक शारीरिक या गणितीय मुद्दों में कम या कुछ भी नहीं कर रहे हैं आम. मेरा सुझाव है कि वे काफी हद तक मानक दार्शनिक समस्याओं (यानी, भाषा का खेल) जो ज्यादातर 80years पहले Wittgenstein द्वारा हल किए गए थे. -/- "क्या हम 'इस तरह के एक मामले में कहने के लिए' कर रहे हैं, ज़ाहिर है, दर्शन नहीं है, लेकिन (...)
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  15. added 2019-08-27
    اظهارات در مورد عدم امکان ، بی کامل بودن ، پاراستشتها، Undecidability ، اتفاقی ، Computability ، پارادوکس ، و عدم قطعیت در Chaitin ، ویتگنشتاین ، Hofstadter ، Wolpert ، doria ، دا کوستا ، گودل ، سرل ، رودیچ ، برتو ، فلوید ، مویال-شرراک و یانفسکی.Michael Richard Starks - 2019 - Las Vegas, NV USA: Reality Press.
    معمولا تصور می شود که عدم امکان ، بی کامل بودن ، پارامونشتها ، Undecidability ، اتفاقی ، قابلیت های مختلف ، پارادوکس ، عدم قطعیت و محدودیت های دلیل ، مسائل فیزیکی و ریاضی علمی و یا با داشتن کمی یا هیچ چیز در مشترک. من پیشنهاد می کنم که آنها تا حد زیادی مشکلات فلسفی استاندارد (به عنوان مثال ، بازی های زبان) که عمدتا توسط ویتگنشتاین بیش از 80 سال پیش حل و فصل شد. -/- "آنچه ما (...)
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  16. added 2019-08-25
    Замечания о невозможности, неполноте Paraconsistency, Нерешающость, Случайность вычислительности, парадокс, и неопределенность в Чайтин, Витгенштейн, Хофштадтер Вольперт, Дориа, да Коста, Годель, Сирл, Родыч Берто, Флойд, Мойал-Шаррок и Янофски.Michael Richard Starks - 2019 - Las Vegas, NV USA: Reality Press.
    Принято считать, что невозможность, неполнота, Парапоследовательность, Несоответствие, Случайность, вычислительность, парадокс, неопределенность и пределы разума являются разрозненными научными физическими или математическими вопросами, имеющими мало или ничего общего. Я полагаю, что они в значительной степени стандартные философские проблемы (т.е. языковые игры), которые были в основном решены Витгенштейном более 80 лет назад. -/- Я предоставляю краткое резюме некоторых из основных выводов двух из самых выдающихся студентов поведения о Fсовременности, Людвиг Витгенштейн и Джон Сирл, на логическую структуру преднамеренности (ум, язык, поведение), принимая в качестве (...)
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  17. added 2019-08-05
    3. Planck Unit Quantum Gravity (Gravitons) for Simulation Hypothesis Modeling.Malcolm J. Macleod - manuscript
    Defined are gravitational formulas in terms of Planck units and units of $\hbar c$. Mass is not assigned as a constant property but is instead treated as a discrete event defined by units of Planck mass with gravity as an interaction between these units, the gravitational orbit as the sum of these mass-mass interactions and the gravitational coupling constant as a measure of the frequency of these interactions and not the magnitude of the gravitational force itself. Each particle that is (...)
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  18. added 2019-06-10
    Mathematical Cultures: The London Meetings 2012--2014.Brendan Larvor (ed.) - 2016 - Springer International Publishing.
  19. added 2019-06-10
    Albert Lautman, ou la dialectique dans les mathématiques.Brendan Larvor - 2010 - Philosophiques 37 (1):75-94.
    Dans cet article, j’explore dans un premier temps la conception que se fait Lautman de la dialectique en examinant ses références à Platon et Heidegger. Je compare ensuite les structures dialectiques identifiées par Lautman dans les mathématiques contemporaines avec celles qui émergent de ses sources philosophiques. Enfin, je soutiens que les structures qu’il a découvertes dans les mathématiques sont plus riches que le suggère son modèle platonicien, et que la distinction « ontologique » de Heidegger est moins utile que semblait (...)
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  20. added 2019-06-06
    Stefania Centrone. Logic and Philosophy of Mathematics in the Early Husserl. Synthese Library 345. Dordrecht: Springer, 2010. Pp. Xxii + 232. ISBN 978-90-481-3245-4. [REVIEW]Mirja Hartimo - 2010 - Philosophia Mathematica 18 (3):344-349.
    It is beginning to be rather well known that Edmund Husserl, the founder of phenomenological philosophy, was originally a mathematician; he studied with Weierstrass and Kronecker in Berlin, wrote his doctoral dissertation on the calculus of variations, and was then a colleague of Cantor in Halle until he moved to the Göttingen of Hilbert and Klein in 1901. Much of Husserl’s writing prior to 1901 was about mathematics, and arguably the origin of phenomenology was in Husserl’s attempts to give philosophical (...)
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  21. added 2019-06-06
    Charles Parsons:Mathematics in Philosophy: Selected Essays,:Mathematics in Philosophy: Selected Essays. [REVIEW]John P. Burgess - 2007 - Philosophy of Science 74 (4):549-552.
  22. added 2019-06-06
    Logic Colloquium 2005: Proceedings of the Annual European Summer Meeting of the Association for Symbolic Logic, Held in Athens, Greece, July 28-August 3, 2005.C. Dimitracopoulos, L. Newelski & D. Normann (eds.) - 2007 - Cambridge: Cambridge University Press.
    The Annual European Meeting of the Association for Symbolic Logic, generally known as the Logic Colloquium, is the most prestigious annual meeting in the field. Many of the papers presented there are invited surveys of recent developments. Highlights of this volume from the 2005 meeting include three papers on different aspects of connections between model theory and algebra; a survey of recent major advances in combinatorial set theory; a tutorial on proof theory and modal logic; and a description of Bernay's (...)
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  23. added 2019-06-06
    Philosophy of Mathematics. [REVIEW]Susan Vineberg - 2004 - Philosophical Books 45 (3):277-282.
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  24. added 2019-06-06
    The Conceptual Roots of Mathematics. An Essay on the Philosophy of Mathematics By J. R. Lucas, Routledge, London, 2000, 452 Pp. [REVIEW]Richard Michaels Stefanik - 2001 - Philosophy 76 (2):312-327.
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  25. added 2019-06-06
    Recent Work in Philosophy of Mathematics: Review of P. Maddy, Naturalism in Mathematics; S. Shapiro, Philosophy of Mathematics: Structure and Ontology; M. Resnik, Mathematics as a Science of Patterns.Jamie Tappenden, Penelope Maddy, Stewart Shapiro & Michael Resnik - 2001 - Journal of Philosophy 98 (9):488.
  26. added 2019-06-06
    Plato’s Philosophy of Mathematics. [REVIEW]Ian Mueller - 1997 - Ancient Philosophy 17 (2):458-461.
  27. added 2019-06-06
    Posthumous Writings.Gottlob Frege - 1979 - Blackwell.
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  28. added 2019-06-06
    Mathematics and Logic in History and in Contemporary Thought. By Ettore Carruccio, Translated by Isabel Quigly. London: Faber and Faber, 1964. 63s. [REVIEW]J. R. Ravetz - 1966 - British Journal for the History of Science 3 (2):195-195.
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  29. added 2019-06-05
    Philosophy of Mathematics in the Twentieth Century: Selected Essays.Charles McCarty - 2016 - Philosophical Review Recent Issues 125 (2):298-302.
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  30. added 2019-06-05
    Mario Bunge’s Philosophy of Mathematics: An Appraisal.Jean-Pierre Marquis - 2012 - Science & Education 21 (10):1567-1594.
    In this paper, I present and discuss critically the main elements of Mario Bunge’s philosophy of mathematics. In particular, I explore how mathematical knowledge is accounted for in Bunge’s systemic emergent materialism.To Mario, with gratitude.
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  31. added 2019-06-05
    Logic Colloquium 2004: Proceedings of the Annual European Summer Meeting of the Association for Symbolic Logic, Held in Torino, Italy, July 25-31, 2004.Alessandro Andretta, Keith Kearnes & Domenico Zambella - 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.
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  32. added 2019-06-05
    Essay Review: Islamic Mathematics: The Muslim Contribution to Mathematics.David A. King - 1979 - History of Science 17 (4):295-296.
  33. added 2019-05-16
    On an “Empiricist” Philosophy of Mathematics.Stewart Shapiro - 1984 - Philosophia 14 (1-2):213-223.
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  34. added 2019-04-26
    Completeness and the Ends of Axiomatization.Michael Detlefsen - 2014 - In Juliette Cara Kennedy (ed.), Interpreting Gödel. New York: Cambridge University Press. pp. 59-77.
    The type of completeness Whitehead and Russell aimed for in their Principia Mathematica was what I call descriptive completeness. This is completeness with respect to the propositions that have been proved in traditional mathematics. The notion of completeness addressed by Gödel in his famous work of 1930 and 1931 was completeness with respect to the truths expressible in a given language. What are the relative significances of these different conceptions of completeness for traditional mathematics? What, if any, effects does incompleteness (...)
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  35. added 2018-12-03
    Uwagi o arytmetyce Grassmanna.Jerzy Hanusek - 2015 - Diametros 45:107-121.
    Hermann Grassmann’s 1861 work [2] was probably the first attempt at an axiomatic approach to arithmetic. The historical significance of this work is enormous, even though the set of axioms has proven to be incomplete. Basing on the interpretation of Grassmann’s theory provided by Hao Wang in [4], I present its detailed discussion, define the class of models of Grassmann’s arithmetic and discuss a certain axiom system for integers, modeled on Grassmann’s theory. At the end I propose to modify the (...)
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  36. added 2018-09-06
    Frege Numbers and the Relativity Argument.Christopher Menzel - 1988 - Canadian Journal of Philosophy 18 (1):87-98.
    Textual and historical subtleties aside, let's call the idea that numbers are properties of equinumerous sets ‘the Fregean thesis.’ In a recent paper, Palle Yourgrau claims to have found a decisive refutation of this thesis. More surprising still, he claims in addition that the essence of this refutation is found in the Grundlagen itself – the very masterpiece in which Frege first proffered his thesis. My intention in this note is to evaluate these claims, and along the way to shed (...)
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  37. added 2018-02-17
    There's Something About Gdel: The Complete Guide to the Incompleteness Theorem.Francesco Berto - 2009 - Wiley-Blackwell.
    Berto’s highly readable and lucid guide introduces students and the interested reader to Gödel’s celebrated _Incompleteness Theorem_, and discusses some of the most famous - and infamous - claims arising from Gödel's arguments. Offers a clear understanding of this difficult subject by presenting each of the key steps of the _Theorem_ in separate chapters Discusses interpretations of the _Theorem_ made by celebrated contemporary thinkers Sheds light on the wider extra-mathematical and philosophical implications of Gödel’s theories Written in an accessible, non-technical (...)
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  38. added 2017-12-04
    Wittgenstein’s Philosophy of Mathematics: Felix Mühlhölzer in Conversation with Sebastian Grève.Felix Mühlhölzer - 2014 - Nordic Wittgenstein Review 3 (2):151-180.
    Sebastian Grève interviews Felix Mühlhölzer on his work on the philosophy of mathematics.
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  39. added 2017-07-04
    Two Criticisms Against Mathematical Realism.Seungbae Park - 2017 - Diametros 52:96-106.
    Mathematical realism asserts that mathematical objects exist in the abstract world, and that a mathematical sentence is true or false, depending on whether the abstract world is as the mathematical sentence says it is. I raise two objections against mathematical realism. First, the abstract world is queer in that it allows for contradictory states of affairs. Second, mathematical realism does not have a theoretical resource to explain why a sentence about a tricle is true or false. A tricle is an (...)
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  40. added 2017-05-22
    Proof Phenomenon as a Function of the Phenomenology of Proving.Inês Hipólito - 2015 - Progress in Biophysics and Molecular Biology 119:360-367.
    Kurt Gödel wrote (1964, p. 272), after he had read Husserl, that the notion of objectivity raises a question: “the question of the objective existence of the objects of mathematical intuition (which, incidentally, is an exact replica of the question of the objective existence of the outer world)”. This “exact replica” brings to mind the close analogy Husserl saw between our intuition of essences in Wesensschau and of physical objects in perception. What is it like to experience a mathematical proving (...)
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  41. added 2017-04-18
    Contradictions Inherent in Special Relativity: Space Varies.Kim Joosoak - manuscript
    Special relativity has changed the fundamental view on space and time since Einstein introduced it in 1905. It substitutes four dimensional spacetime for the absolute space and time of Newtonian mechanics. It is believed that the validities of Lorentz invariants are fully confirmed empirically for the last one hundred years and therefore its status are canonical underlying all physical principles. However, spacetime metric is a geometric approach on nature when we interpret the natural phenomenon. A geometric flaw on this will (...)
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  42. added 2017-02-15
    Carlo Cellucci. Rethinking Logic: Logic in Relation to Mathematics, Evolution and Method. Dordrecht: Springer, 2013. ISBN: 978-94-007-6090-5 ; 978-94-007-6091-2 . Pp. Xv + 389. [REVIEW]Emily R. Grosholz - 2015 - Philosophia Mathematica 23 (1):136-140.
  43. added 2017-02-15
    Review of Noson Yanofsky, The Outer Limits of Reason: What Science, Mathematics and Logic Cannot Tell Us. [REVIEW]Mark Zelcer - 2014 - Philosophical Quarterly 64 (255):383-385.
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  44. added 2017-02-15
    An Analysis of Views of the Nature of Mathematics by Gender.Richard Hall - 2002 - Philosophy of Mathematics Education Journal 16.
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  45. added 2017-02-15
    Le Corbusier and the Creative Use of Mathematics.Judi Loach - 1998 - British Journal for the History of Science 31 (2):185-215.
    For the artist, mathematics does not consist of the various branches of mathematics. It is not necessarily a matter of calculation but rather of the presence of a sovereign power; a law of infinite resonance, consonance, organisation. Rigour is nothing other than that which truly results in a work of art, whether it be a Leonardo drawing, or the fearsome exactness of the Parthenon , or the implacable and impeccable play of construction in the cathedral, or the unity in a (...)
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  46. added 2017-02-15
    Problems in the Philosophy of Mathematics. [REVIEW]P. K. H. - 1967 - Review of Metaphysics 21 (1):172-173.
    The various papers and short "discussions" contained in this latest addition to the "Studies in Logic" series were presented at the 1965 International Colloquium in the Philosophy of Science, in London. Of the nine "problems" considered in this symposium, seven have directly to do with philosophy, one is an historical study of the origins of Euclid's axiomatics, and the last is an interesting—if one-sided—discussion of the "new math" controversy in the pre-college curriculum. Happily, this book demonstrates that the important issues (...)
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  47. added 2017-02-15
    Mathematics and Science: Last Essays. [REVIEW]J. M. P. - 1965 - Review of Metaphysics 18 (4):778-778.
    A translation of the 1913 volume Dernières Pensées, this collection of papers contains much material of interest to the logician and the philosopher of science. In "The Logic of Infinity" Poincaré clarifies the notion of "predicative set" and discusses Zermelo's and Russell's approaches to set theory. "The Evolution of Laws" attempts to formulate the question "do laws of nature evolve?" Two papers concern space and time, two others, the electrostatic and quantum theories of matter. The collection concludes with a pair (...)
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  48. added 2017-02-14
    Philosophy of Mathematics: Selected Writings.Charles S. Peirce - 2010 - Indiana University Press.
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  49. added 2017-02-14
    Stuart Shanker, Ed. Routledge History of Philosophy, Vol. IX: Philosophy of Science, Logic and Mathematics in the Twentieth Century. [REVIEW]T. McCarthy - 2000 - Philosophia Mathematica 8 (2):214-220.
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  50. added 2017-02-14
    From Certainty to Fallibility in Mathematics?Marco Borga - 1997 - In Evandro Agazzi & György Darvas (eds.), Philosophy of Mathematics Today. Kluwer Academic Publishers. pp. 39--50.
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