Philosophy of Mathematics

Edited by Øystein Linnebo (University of Oslo)
Assistant editor: Sam Roberts (University of Oslo)
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  1. added 2020-08-06
    The Fundamental Cognitive Approaches of Mathematics.Salvador Daniel Escobedo Casillas - manuscript
    We propose a way to explain the diversification of branches of mathematics, distinguishing the different approaches by which mathematical objects can be studied. In our philosophy of mathematics, there is a base object, which is the abstract multiplicity that comes from our empirical experience. However, due to our human condition, the analysis of such multiplicity is covered by other empirical cognitive attitudes (approaches), diversifying the ways in which it can be conceived, and consequently giving rise to different mathematical disciplines. This (...)
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  2. added 2020-08-04
    Justin Clarke-Doane*Morality and Mathematics.Michael Bevan & A. C. Paseau - forthcoming - Philosophia Mathematica.
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  3. added 2020-08-04
    Noson Yanofsky 403p (2013) द्वारा 'कारण की बाहरी सीमा' की समीक्षा Review of 'The Outer Limits of Reason' by Noson Yanofsky (संशोधित 2019).Michael Richard Starks - 2020 - In पृथ्वी पर नर्क में आपका स्वागत है: शिशुओं, जलवायु परिवर्तन, बिटकॉइन, कार्टेल, चीन, लोकतंत्र, विविधता, समानता, हैकर्स, मानव अधिकार, इस्लाम, उदारवाद, समृद्धि, वेब, अराजकता, भुखमरी, बीमारी, हिंसा, कृत्रिम बुद्धिमत्ता, युद्ध. Las Vegas, NV, USA: Reality Press. pp. 221-238.
    मैं Wittgenstein और विकासवादी मनोविज्ञान के एक एकीकृत परिप्रेक्ष्य से Noson Yanofsky द्वारा 'कारण की बाहरी सीमा' की एक विस्तृत समीक्षा दे. मैं संकेत मिलता है कि भाषा और गणित में विरोधाभास के रूप में इस तरह के मुद्दों के साथ कठिनाई, अपूर्णता, अनिर्णयीयता, computability, मस्तिष्क और कंप्यूटर आदि के रूप में ब्रह्मांड, सभी विफलता से उठता है उचित में भाषा के हमारे उपयोग को ध्यान से देखने के लिए संदर्भ और इसलिए कैसे भाषा काम करता है के मुद्दों से (...)
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  4. added 2020-08-03
    क्या Paraconsistent, अनिर्णयीय, रैंडम, Computable और अधूरा मतलब है? है Godel रास्ता की समीक्षा: ग्रेगरी Chaitin, फ्रांसिस्को एक डोरिया, न्यूटन सी.ए. दा कोस्टा 160p (2012 की समीक्षा संशोधित 2019) द्वारा एक undecidable दुनिया में शोषण What Do Paraconsistent, Undecidable, Random, Computable and Incomplete mean? A Review of Godel's Way: Exploits into an undecidable world by Gregory Chaitin, Francisco A Doria, Newton C.A. da Costa.Michael Richard Starks - 2020 - In पृथ्वी पर नर्क में आपका स्वागत है: शिशुओं, जलवायु परिवर्तन, बिटकॉइन, कार्टेल, चीन, लोकतंत्र, विविधता, समानता, हैकर्स, मानव अधिकार, इस्लाम, उदारवाद, समृद्धि, वेब, अराजकता, भुखमरी, बीमारी, हिंसा, कृत्रिम बुद्धिमत्ता, युद्ध. Las Vegas, NV, USA: Reality Press. pp. 198-214.
    'गोडेल के रास्ते' में तीन प्रख्यात वैज्ञानिकों ने अनिर्णय, अपूर्णता, यादृच्छिकता, गणनाऔरता और परासंगति जैसे मुद्दों पर चर्चा की। मैं Wittgensteinian दृष्टिकोण से इन मुद्दों दृष्टिकोण है कि वहाँ दो बुनियादी मुद्दों जो पूरी तरह से अलग समाधान है. वहाँ वैज्ञानिक या अनुभवजन्य मुद्दों, जो दुनिया के बारे में तथ्य है कि अवलोकन और दार्शनिक मुद्दों की जांच की जरूरत है के रूप में कैसे भाषा intelligibly इस्तेमाल किया जा सकता है (जो गणित और तर्क में कुछ सवाल शामिल हैं), (...)
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  5. added 2020-08-03
    असंभव, अपूर्णता, अपूर्णता, झूठा विरोधाभास, सिद्धांतवाद, गणना की सीमा, एक गैर-क्वांटम यांत्रिक अनिश्चितता सिद्धांत और कंप्यूटर के रूप में ब्रह्मांड पर Wolpert, Chaitin और Wittgenstein ट्यूरिंग मशीन थ्योरी में अंतिम प्रमेय --Wolpert, Chaitin and Wittgenstein on impossibility, incompleteness, the liar paradox, theism, the limits of computation, a non-quantum mechanical uncertainty principle and the universe as computer—the ultimate theorem in Turing Machine Theory (संशोधित 2019).Michael Richard Starks - 2020 - In पृथ्वी पर नर्क में आपका स्वागत है: शिशुओं, जलवायु परिवर्तन, बिटकॉइन, कार्टेल, चीन, लोकतंत्र, विविधता, समानता, हैकर्स, मानव अधिकार, इस्लाम, उदारवाद, समृद्धि, वेब, अराजकता, भुखमरी, बीमारी, हिंसा, कृत्रिम बुद्धिमत्ता, युद्ध. Las Vegas, NV, USA: Reality Press. pp. 215-220.
    मैं कंप्यूटर के रूप में गणना और ब्रह्मांड की सीमा के कई हाल ही में चर्चा पढ़ लिया है, polymath भौतिक विज्ञानी और निर्णय सिद्धांतकार डेविड Wolpert के अद्भुत काम पर कुछ टिप्पणी खोजने की उम्मीद है, लेकिन एक भी प्रशस्ति पत्र नहीं मिला है और इसलिए मैं यह बहुत संक्षिप्त मौजूद सारांश. Wolpert कुछ आश्चर्यजनक असंभव या अधूरापन प्रमेयों साबित कर दिया (1992 से 2008-देखें arxiv dot org) अनुमान के लिए सीमा पर (कम्प्यूटेशन) कि इतने सामान्य वे गणना कर (...)
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  6. added 2020-08-02
    How Can Necessary Facts Call for Explanation?Dan Baras - forthcoming - Synthese.
    While there has been much discussion about what makes some mathematical proofs more explanatory than others, and what are mathematical coincidences, in this article I explore the distinct phenomenon of mathematical facts that call for explanation. The existence of mathematical facts that call for explanation stands in tension with virtually all existing accounts of “calling for explanation”, which imply that necessary facts cannot call for explanation. In this paper I explore what theoretical revisions are needed in order to accommodate this (...)
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  7. added 2020-08-01
    मैं डगलस Hofstadter (2007) द्वारा एक अजीब लू प हूँ की समीक्षा--Review of I Am a Strange Loop by Douglas Hofstadter.Michael Richard Starks - 2020 - In पृथ्वी पर नर्क में आपका स्वागत है: शिशुओं, जलवायु परिवर्तन, बिटकॉइन, कार्टेल, चीन, लोकतंत्र, विविधता, समानता, हैकर्स, मानव अधिकार, इस्लाम, उदारवाद, समृद्धि, वेब, अराजकता, भुखमरी, बीमारी, हिंसा, कृत्रिम बुद्धिमत्ता, युद्ध. Las Vegas, NV,. USA: Reality Press. pp. 130-150.
    पादरी Hofstadter द्वारा कट्टरपंथी प्रकृतिवाद के चर्च से नवीनतम उपदेश. अपने बहुत अधिक प्रसिद्ध (या अपने अथक दार्शनिक त्रुटियों के लिए कुख्यात) काम Godel, Escher, बाख की तरह, यह एक सतही प्रशंसनीयता है, लेकिन अगर एक समझता है कि यह बड़े पैमाने पर वैज्ञानिकता है जो दार्शनिक लोगों के साथ वास्तविक वैज्ञानिक मुद्दों घोला जा सकता है (यानी, केवल असली मुद्दों क्या भाषा का खेल हम खेलना चाहिए रहे हैं) तो लगभग सभी अपनी रुचि गायब हो जाता है. मैं विकासवादी (...)
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  8. added 2020-07-31
    Tim Button and Sean Walsh*Philosophy and Model Theory.Brice Halimi - forthcoming - Philosophia Mathematica.
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  9. added 2020-07-31
    Infinite Reasoning.Jared Warren - forthcoming - Philosophy and Phenomenological Research.
    Our relationship to the infinite is controversial. But it is widely agreed that our powers of reasoning are finite. I disagree with this consensus; I think that we can, and perhaps do, engage in infinite reasoning. Many think it is just obvious that we can't reason infinitely. This is mistaken. Infinite reasoning does not require constructing infinitely long proofs, nor would it gift us with non-recursive mental powers. To reason infinitely we only need an ability to perform infinite inferences. I (...)
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  10. added 2020-07-31
    A Mathematical Model of Quantum Computer by Both Arithmetic and Set Theory.Vasil Penchev - 2020 - Information Theory and Research eJournal 1 (15):1-13.
    A practical viewpoint links reality, representation, and language to calculation by the concept of Turing (1936) machine being the mathematical model of our computers. After the Gödel incompleteness theorems (1931) or the insolvability of the so-called halting problem (Turing 1936; Church 1936) as to a classical machine of Turing, one of the simplest hypotheses is completeness to be suggested for two ones. That is consistent with the provability of completeness by means of two independent Peano arithmetics discussed in Section I. (...)
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  11. added 2020-07-30
    Numbers, Empiricism and the A Priori.Olga Ramírez Calle - 2020 - Logos and Episteme 11 (2):149-177.
    The present paper deals with the ontological status of numbers and considers Frege´s proposal in Grundlagen upon the background of the Post-Kantian semantic turn in analytical philosophy. Through a more systematic study of his philosophical premises, it comes to unearth a first level paradox that would unset earlier still than it was exposed by Russell. It then studies an alternative path that, departing from Frege’s initial premises, drives to a conception of numbers as synthetic a priori in a more Kantian (...)
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  12. added 2020-07-29
    Choice, Infinity, and Negation: Both Set-Theory and Quantum-Information Viewpoints to Negation.Vasil Penchev - 2020 - Logic and Philosophy of Mathematics eJournal 12 (14):1-3.
    The concepts of choice, negation, and infinity are considered jointly. The link is the quantity of information interpreted as the quantity of choices measured in units of elementary choice: a bit is an elementary choice between two equally probable alternatives. “Negation” supposes a choice between it and confirmation. Thus quantity of information can be also interpreted as quantity of negations. The disjunctive choice between confirmation and negation as to infinity can be chosen or not in turn: This corresponds to set-theory (...)
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  13. added 2020-07-28
    Luca Incurvati*Conceptions of Set and the Foundations of Mathematics.Burgess John - forthcoming - Philosophia Mathematica.
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  14. added 2020-07-28
    Conceptions of Infinity and Set in Lorenzen’s Operationist System.Carolin Antos - forthcoming - In Logic, Epistemology and the Unity of Science. Springer.
    In the late 1940s and early 1950s Lorenzen developed his operative logic and mathematics, a form of constructive mathematics. Nowadays this is mostly seen as the precursor to the more well-known dialogical logic and one could assumed that the same philosophical motivations were present in both works. However we want to show that this is not always the case. In particular, we claim, that Lorenzen’s well-known rejection of the actual infinite as stated in Lorenzen (1957) was not a major motivation (...)
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  15. added 2020-07-25
    Rezension von "Die äußeren Grenzen der Vernunft " (The Outer Limits of Reason) von Noson Yanofsky 403p (2013) ( Überprüfung überarbeitet 2019).Michael Richard Starks - 2020 - In Willkommen in der Hölle auf Erden: Babys, Klimawandel, Bitcoin, Kartelle, China, Demokratie, Vielfalt, Dysgenie, Gleichheit, Hacker, Menschenrechte, Islam, Liberalismus, Wohlstand, Internet, Chaos, Hunger, Krankheit, Gewalt, Künstliche Intelligenz, Krieg. Las Vegas, NV, USA: Reality Press. pp. 191-206.
    Ich gebe einen ausführlichen Überblick über 'The Outer Limits of Reason' von Noson Yanofsky aus einer einheitlichen Perspektive von Wittgenstein und Evolutionspsychologie. Ich weise darauf hin, dass die Schwierigkeit bei Themen wie Paradoxon in Sprache und Mathematik, Unvollständigkeit, Unbedenklichkeit, Berechenbarkeit, Gehirn und Universum als Computer usw. allesamt auf das Versäumnis zurückzuführen ist, unseren Sprachgebrauch im geeigneten Kontext sorgfältig zu prüfen, und daher das Versäumnis, Fragen der wissenschaftlichen Tatsache von Fragen der Funktionsweise von Sprache zu trennen. Ich bespreche Wittgensteins Ansichten über (...)
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  16. added 2020-07-25
    Was bedeuten Parakonsistente, Unentscheidbar, Zufällig, Berechenbar und Unvollständige? Eine Rezension von „Godels Weg: Exploits in eine unentscheidbare Welt“ (Godels Way: Exploits into a unecidable world) von Gregory Chaitin, Francisco A Doria, Newton C.A. da Costa 160p (2012).Michael Richard Starks - 2020 - In Willkommen in der Hölle auf Erden: Babys, Klimawandel, Bitcoin, Kartelle, China, Demokratie, Vielfalt, Dysgenie, Gleichheit, Hacker, Menschenrechte, Islam, Liberalismus, Wohlstand, Internet, Chaos, Hunger, Krankheit, Gewalt, Künstliche Intelligenz, Krieg. Las Vegas, NV , USA: Reality Press. pp. 1171-185.
    In "Godel es Way" diskutieren drei namhafte Wissenschaftler Themen wie Unentschlossenheit, Unvollständigkeit, Zufälligkeit, Berechenbarkeit und Parakonsistenz. Ich gehe diese Fragen aus Wittgensteiner Sicht an, dass es zwei grundlegende Fragen gibt, die völlig unterschiedliche Lösungen haben. Es gibt die wissenschaftlichen oder empirischen Fragen, die Fakten über die Welt sind, die beobachtungs- und philosophische Fragen untersuchen müssen, wie Sprache verständlich verwendet werden kann (die bestimmte Fragen in Mathematik und Logik beinhalten), die entschieden werden müssen, indem man sich anschaut,wie wir Wörter in bestimmten (...)
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  17. added 2020-07-24
    Analisi - sintesi.Sergio Volodia Marcello Cremaschi - 1996 - In Virgilio Melchiorre (ed.), Enciclopedia della Filosofia e delle Scienze Umane. Novara, italy: DeAgostini. pp. 41-42.
    A short reconstruction of the Medieval and early modern idea of the analytic-syntetic method.
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  18. added 2020-07-23
    A Philosophical Path from Königsberg to Kyoto.Rossella Lupacchini - forthcoming - Sophia:1-18.
    ‘Mathematics is the science of the infinite, its goal the symbolic comprehension of the infinite with human, that is finite, means.’ Along this line, in The Open World, Hermann Weyl contrasted the desire to make the infinite accessible through finite processes, which underlies any theoretical investigation of reality, with the intuitive feeling for the infinite ‘peculiar to the Orient,’ which remains ‘indifferent to the concrete manifold of reality.’ But a critical analysis may acknowledge a valuable dialectical opposition. Struggling to spell (...)
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  19. added 2020-07-23
    Speech Acts in Mathematics.Marco Ruffino, Luca San Mauro & Giorgio Venturi - forthcoming - Synthese:1-25.
    We offer a novel picture of mathematical language from the perspective of speech act theory. There are distinct speech acts within mathematics, and, as we intend to show, distinct illocutionary force indicators as well. Even mathematics in its most formalized version cannot do without some such indicators. This goes against a certain orthodoxy both in contemporary philosophy of mathematics and in speech act theory. As we will comment, the recognition of distinct illocutionary acts within logic and mathematics and the incorporation (...)
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  20. added 2020-07-23
    The Metametaphysics of Neo-Fregeanism.Matti Eklund - 2020 - In Ricki Bliss & James Miller (eds.), The Routledge Handbook of Metametaphysics. Routledge.
  21. added 2020-07-23
    Invited Review Of: George Lakoff and Mark Johnson, Philosophy in the Flesh: The Embodied Mind and Its Challenge to Western Thought (New York: Basic Books, 1999). [REVIEW]Stephen R. Palmquist - 2010 - Journal of Scientific Exploration 24 (2):323-327.
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  22. added 2020-07-22
    Invited Book Review of Stanislas Debaene, The Number Sense: How the Mind Creates Mathematics (New York: Oxford University Press, 1997). [REVIEW]Stephen R. Palmquist - 2012 - Journal of Scientific Exploration 26 (4):928-930.
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  23. added 2020-07-21
    Using Crowdsourced Mathematics to Understand Mathematical Practice.Alison Pease, Ursula Martin, Fenner Stanley Tanswell & Andrew Aberdein - forthcoming - ZDM.
    Records of online collaborative mathematical activity provide us with a novel, rich, searchable, accessible and sizeable source of data for empirical investigations into mathematical practice. In this paper we discuss how the resources of crowdsourced mathematics can be used to help formulate and answer questions about mathematical practice, and what their limitations might be. We describe quantitative approaches to studying crowdsourced mathematics, reviewing work from cognitive history (comparing individual and collaborative proofs); social psychology (on the prospects for a measure of (...)
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  24. added 2020-07-21
    Matthias Wille.*›Largely unknown‹ Gottlob Frege und der posthume Ruhm›alles in den Wind geschrieben‹ Gottlob Frege wider den Zeitgeist.Ansten Klev - forthcoming - Philosophia Mathematica.
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  25. added 2020-07-21
    Review Of Joseph C. Pitt, Heraclitus Redux: Technological Infrastructures and Scientific Change. [REVIEW]Andrew Aberdein - 2020 - Social Epistemology Review and Reply Collective 9 (7):18–22.
  26. added 2020-07-21
    Using Corpus Linguistics to Investigate Mathematical Explanation.Juan Pablo Mejía Ramos, Lara Alcock, Kristen Lew, Paolo Rago, Chris Sangwin & Matthew Inglis - 2019 - In Eugen Fischer & Mark Curtis (eds.), Methodological Advances in Experimental Philosophy. London: Bloomsbury Academic. pp. 239–263.
    In this chapter we use methods of corpus linguistics to investigate the ways in which mathematicians describe their work as explanatory in their research papers. We analyse use of the words explain/explanation (and various related words and expressions) in a large corpus of texts containing research papers in mathematics and in physical sciences, comparing this with their use in corpora of general, day-to-day English. We find that although mathematicians do use this family of words, such use is considerably less prevalent (...)
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  27. added 2020-07-20
    The Synthetic Concept of Truth and its Descendants.Boris Culina - manuscript
    The concept of truth has many aims but only one source. The article describes the primary concept of truth, here called the synthetic concept of truth, according to which truth is the objective result of the synthesis of us and nature in the process of rational cognition. It is shown how various aspects of the concept of truth -- logical, scientific, and mathematical aspect -- arise from the synthetic concept of truth. Also, it is shown how the paradoxes of truth (...)
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  28. added 2020-07-19
    Geometrical Objects and Figures in Practical, Pure, and Applied Geometry.Mario Bacelar Valente - forthcoming - Disputatio. Philosophical Research Bulletin.
    The purpose of this work is to address what notion of geometrical object and geometrical figure we have in different kinds of geometry: practical, pure, and applied. Also, we address the relation between geometrical objects and figures when this is possible, which is the case of pure and applied geometry. In practical geometry it turns out that there is no conception of geometrical object.
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  29. added 2020-07-18
    パラコンシステント、決定不能、ランダム、計算可能、不完全とはどういう意味 ですか? 「ゴーデルの方法:決定不可能な世界への冒険:」のレビュー(Godel's Way: exploits into an Undecidable World) byA. da Costa 160p (2012) (2019年のレビュー改訂).Michael Richard Starks - 2020 - In 地獄へようこそ 赤ちゃん、気候変動、ビットコイン、カルテル、中国、民主主義、多様性、ディスジェニックス、平等、ハッカー、人権、イスラム教、自由主義、繁栄、ウェブ、カオス、飢餓、病気、暴力、人工知能、戦争. Las Vegas, NV , USA: Reality Press. pp. 158-171.
    「ゴーデルの道」では、3人の著名な科学者が、デシッド不能、不完全性、ランダム性、計算可能性、パラコンシステンションなどの問題について議論しています。私は、ウィトゲンシュタイニアンの視点から、全く異なる 解決策を持つ2つの基本的な問題があることをこれらの問題に取り組んでいます。科学的または経験的な問題は、言語がどのように理解的に使用できるか(数学と論理に特定の質問を含む)、特定の文脈で実際にどのように 単語を使用するかを調べて決定する必要がある、観察的および哲学的な問題を調査する必要がある世界に関する事実です。私たちがプレイしている言語ゲームについて明確になると、これらのトピックは他の人と同じように 普通の科学的、数学的な質問であると見なされます。ウィトゲンシュタインの洞察はめったに等しくなく、決して上回ることはなく、彼がブルーブックスとブラウンブックスを口述した80年前と同じくらい適切です。失敗 にもかかわらず、本当に完成した本ではなく一連のノートは、半世紀以上にわたって物理学、数学、哲学の出血エッジで働いてきたこれらの3人の有名な学者の作品のユニークな源です。ダ・コスタとドリアは、普遍的な計 算に書いて以来、ウォルパート(以下または私の記事を参照)によって引用されています(ウォルパートとヤナフスキーの「理由の外側の限界」の私のレビューを参照)、,そして彼の多くの成果の中で、ダ・コスタはパラ コンシタンションのパイオニアです。 現代の2つのシス・エムスの見解から人間の行動のための包括的な最新の枠組みを望む人は、私の著書「ルートヴィヒ・ヴィトゲンシュタインとジョン・サールの第2回(2019)における哲学、心理学、ミンと言語の論 理的構造」を参照することができます。私の著作の多くにご興味がある人は、運命の惑星における「話す猿--哲学、心理学、科学、宗教、政治―記事とレビュー2006-2019 第3回(2019)」と21世紀4日(2019年)の自殺ユートピア妄想st Century 4th ed (2019)などを見ることができます。 .
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  30. added 2020-07-18
    のレビュー"「理由の外側の限界"」(The Outer Limits of Reason) by Noson Yanofsky (2019年改訂レビュー).Michael Richard Starks - 2020 - In 地獄へようこそ 赤ちゃん、気候変動、ビットコイン、カルテル、中国、民主主義、多様性、ディスジェニックス、平等、ハッカー、人権、イスラム教、自由主義、繁栄、ウェブ、カオス、飢餓、病気、暴力、人工知能、戦争. Las Vegas, NV , USA: Reality Press. pp. 178-192.
    ノソン・ヤノフスキーの「理性の外側の限界」を、ウィトゲンシュタインと進化心理学の統一的な視点から詳しくレビューします。私は、言語や数学のパラドックス、不完全さ、デデシッド性、コンピュータとしての脳、宇 宙などの問題の難しさは、すべて適切な文脈での言語の使用を注意深く見なさなかったことから生じるため、科学的事実の問題を言語の仕組みの問題から切り離すことができなかったことを示しています。私は、不完全さ、 パラタンシ、不整合性に関するヴィトゲンシュタインの見解と、計算の限界に関するウォルパートの仕事について議論します。要約すると:ブルックリンによると宇宙---良い科学、それほど良い哲学ではありません。 現代の2つのシス・エムスの見解から人間の行動のための包括的な最新の枠組みを望む人は、私の著書「ルートヴィヒ・ヴィトゲンシュタインとジョン・サールの第2回(2019)における哲学、心理学、ミンと言語の論 理的構造」を参照することができます。私の著作の多くにご興味がある人は、運命の惑星における「話す猿--哲学、心理学、科学、宗教、政治―記事とレビュー2006-2019 第3回(2019)」と21世紀4日(2019年)の自殺ユートピア妄想st Century 4th ed (2019)などを見ることができます。 .
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  31. added 2020-07-18
    THE SYNTHETICITY OF TIME: Comments on Fang's Critique of Divine Computers.Stephen R. Palmquist - 1989 - Philosophia Mathematica: 233–235.
    In a recent article in this journal [Phil. Math., II, v.4 (1989), n.2, pp.?- ?] J. Fang argues that we must not be fooled by A.J. Ayer (God rest his soul!) and his cohorts into believing that mathematical knowledge has an analytic a priori status. Even computers, he reminds us, take some amount of time to perform their calculations. The simplicity of Kant's infamous example of a mathematical proposition (7+5=12) is "partly to blame" for "mislead[ing] scholars in the direction of (...)
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  32. added 2020-07-17
    Resenha do livro "Variational Approach to Gravity Field Theories - From Newton to Einstein and Beyond".Alessio Gava - 2020 - Revista Brasileira de Ensino de Física 42.
    This is a critical review of the book Variational Approach to Gravity Field Theories - From Newton to Einstein and Beyond (2017), written by the Italian astrophysicist Alberto Vecchiato. In his work, Vecchiato shows that physics, as we know it, can be built up from simple mathematical models that become more complex step by step by gradually introducing new principles. The reader is invited to follow the steps that lead from classical physics to relativity and to understand how this happens (...)
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  33. added 2020-07-17
    Review of Alain Badiou, The Pornographic Age. [REVIEW]Ekin Erkan - 2020 - Theory, Culture and Society 37.
    This review of Alain Badiou’s The Pornographic Age—as well of the essays included in the book by William Watkin, A.J. Bartlett and Justin Clemens—illuminates that this is one of the few, if not only, texts where Badiou reverses the operational directionality of the event qua category theory, so as to “dis-image” power. In doing so, Badiou provides a theory of power based on intentionality and relation, rather than the more common Foucauldian genealogic-historical methodologies so often co-opted by contemporary thinkers of (...)
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  34. added 2020-07-17
    私は奇妙なループです」のレビュー(I am a Strange Loop) by Douglas Hofstadter (2007) (レビュー改訂2019).Michael Richard Starks - 2020 - In 地獄へようこそ 赤ちゃん、気候変動、ビットコイン、カルテル、中国、民主主義、多様性、ディスジェニックス、平等、ハッカー、人権、イスラム教、自由主義、繁栄、ウェブ、カオス、飢餓、病気、暴力、人工知能、戦争. Las Vegas, NV, USA: Reality Press. pp. 102-118.
    ホフスタッター牧師による原理主義自然主義教会からの最新の説教。彼のはるかに有名な(または容赦ない哲学的誤りで悪名高い)作品ゴーデル、エッシャー、バッハのように、それは表面的な妥当性を持っていますが、こ れが哲学的なものと実際の科学的問題を混ぜ合わせた横行するサイエンティズムであることを理解すれば(つまり、唯一の本当の問題は、私たちがプレイすべき言語ゲームです)、その後、ほとんどすべての関心が消えます 。進化心理学とヴィトゲンシュタインの仕事に基づく分析のフレームワークを提供しています(最近の著作で更新されて以来)。 現代の2つのシス・エムスの見解から人間の行動のための包括的な最新の枠組みを望む人は、私の著書「ルートヴィヒ・ヴィトゲンシュタインとジョン・サールの第2回(2019)における哲学、心理学、ミンと言語の論 理的構造」を参照することができます。私の著作の多くにご興味がある人は、運命の惑星における「話す猿--哲学、心理学、科学、宗教、政治―記事とレビュー2006-2019 第3回(2019)」と21世紀4日(2019年)の自殺ユートピア妄想st Century 4th ed (2019)などを見ることができます .
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  35. added 2020-07-15
    A Priori Knowledge in Perspective: (I) Mathematics, Method and Pure Intuition.Stephen R. Palmquist - 1987 - Review of Metaphysics 41:3-22.
    This article is mainly a critique of Philip Kitcher's book, The Nature of Mathematical Knowledge. Four weaknesses in Kitcher's objection to Kant arise out of Kitcher's failure to recognize the perspectival nature of Kant's position. A proper understanding of Kant's theory of mathematics requires awareness of the perspectival nuances implicit in Kant's theory of pure intuition.
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  36. added 2020-07-13
    Critique bungéenne de la réflexion de Meillassoux sur les mathématiques.Martín Orensanz - 2020 - Mεtascience 1:159-175.
    Quentin Meillassoux est l’un des principaux philosophes français d’aujourd’hui. Son premier livre, Après la finitude. Essai sur la nécessité de la contingence (2006, traduit en anglais en 2008), est déjà un classique. Il comporte une préface de son ancien mentor, Alain Badiou. L’un des princi- paux objectifs de Meillassoux est de réhabiliter la distinction entre qualités premières et qualités secondes, typique des philosophies prékantiennes. Plus précisément, il affirme que les mathématiques sont capables de révéler les qualités premières de tout objet (...)
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  37. added 2020-07-13
    An Introduction to Language, Logic and Mathematics in Schopenhauer.Jens Lemanski - 2020 - In Language, Logic, and Mathematics in Schopenhauer. Cham, Schweiz: pp. 1-15.
    This paper is an introduction to the volume Language, Logic and Mathematics in Schopenhauer. It shows the basic interpretations discussed in Schopenhauer’s research, explains the aims and tasks of Schopenhauer’s philosophy and shows the importance of language, logic and mathematics in Schopenhauer’s system.
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  38. added 2020-07-13
    A Critique of Meillassoux’s Reflections on Mathematics From the Perspective of Bunge’s Philosophy.Martín Orensanz - 2020 - Mεtascience 1.
    Quentin Meillassoux is one of the leading French philosophers of today. His first book, Après la finitude : Essai sur la nécessité de la contingence, (2006, translated into English in 2008), has already become a cult classic. It features a préface by his former mentor, Alain Badiou. One of Meillassoux’s main goals is to rehabilitate the distinction between primary and secondary qualities, typical of pre-Kantian philosophies. Specifically, he claims that mathematics is capable of disclosing the primary qualities of any object (...)
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  39. added 2020-07-12
    Universism and Extensions of V.Carolin Antos, Neil Barton & Sy-David Friedman - forthcoming - Review of Symbolic Logic:1-50.
    A central area of current philosophical debate in the foundations of mathematics concerns whether or not there is a single, maximal, universe of set theory. Universists maintain that there is such a universe, while Multiversists argue that there are many universes, no one of which is ontologically privileged. Often model-theoretic constructions that add sets to models are cited as evidence in favour of the latter. This paper informs this debate by developing a way for a Universist to interpret talk that (...)
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  40. added 2020-07-11
    How Category Theory Works.David Ellerman - manuscript
    The purpose of this paper is to show that the dual notions of elements & distinctions are the basic analytical concepts needed to unpack and analyze morphisms, duality, and universal constructions in the Sets, the category of sets and functions. The analysis extends directly to other concrete categories (groups, rings, vector spaces, etc.) where the objects are sets with a certain type of structure and the morphisms are functions that preserve that structure. Then the elements & distinctions-based definitions can be (...)
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  41. added 2020-07-08
    Wolpert, Chaitin et Wittgenstein sur l’impossibilité, l’incomplétude, le paradoxe menteur, le théisme, les limites du calcul, un principe d’incertitude mécanique non quantique et l’univers comme ordinateur, le théorème ultime dans Turing Machine Theory (révisé 2019).Michael Richard Starks - 2020 - In Bienvenue en Enfer sur Terre : Bébés, Changement climatique, Bitcoin, Cartels, Chine, Démocratie, Diversité, Dysgénique, Égalité, Pirates informatiques, Droits de l'homme, Islam, Libéralisme, Prospérité, Le Web, Chaos, Famine, Maladie, Violence, Intellige. Las Vegas, NV , USA: Reality Press. pp. 185-189.
    J’ai lu de nombreuses discussions récentes sur les limites du calcul et de l’univers en tant qu’ordinateur, dans l’espoir de trouver quelques commentaires sur le travail étonnant du physicien polymathe et théoricien de la décision David Wolpert, mais n’ont pas trouvé une seule citation et je présente donc ce résumé très bref. Wolpert s’est avéré quelques théoricaux d’impossibilité ou d’incomplétude renversants (1992 à 2008-voir arxiv dot org) sur les limites de l’inférence (computation) qui sont si généraux qu’ils sont indépendants de (...)
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  42. added 2020-07-07
    The Language Essence of Rational Cognition, with Some Philosophical Consequences.Boris Culina - manuscript
    This article analyses the essential role of language in rational cognition. The approach is functional -- I only look at the effects of the connection between language, reality and thinking. I begin by analysing rational cognition in everyday situations. Then I show that the whole scientific language is an extension and improvement of everyday language. The result is a uniform view of language and rational cognition which solves many epistemological and ontological problems. I use some of them -- the nature (...)
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  43. added 2020-07-07
    Geoffrey Hellman* and Stewart Shapiro.**Mathematical Structuralism. Cambridge Elements in the Philosophy of Mathematics, Penelope Rush and Stewart Shapiro, Eds.Andrea Sereni - forthcoming - Philosophia Mathematica.
    HellmanGeoffrey ** and ShapiroStewart. **** Mathematical Structuralism. Cambridge Elements in the Philosophy of Mathematics, RushPenelope and ShapiroStewart, eds. Cambridge University Press, 2019. Pp. iv + 94. ISBN 978-1-108-45643-2, 978-1-108-69728-6. doi: 10.1017/9781108582933.
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  44. added 2020-07-06
    Mathematics - an Imagined Tool for Rational Cognition.Boris Culina - manuscript
    Analysing several characteristic mathematical models: natural and real numbers, Euclidean geometry, group theory, and set theory, I argue that a mathematical model in its final form is a junction of a set of axioms and an internal partial interpretation of the corresponding language. It follows from the analysis that (i) mathematical objects do not exist in the external world: they are our internally imagined objects, some of which, at least approximately, we can realize or represent; (ii) mathematical truths are not (...)
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  45. added 2020-07-06
    Proof, Explanation, and Justification in Mathematical Practice.Moti Mizrahi - forthcoming - Journal for General Philosophy of Science / Zeitschrift für Allgemeine Wissenschaftstheorie.
    In this paper, I propose that applying the methods of data science to “the problem of whether mathematical explanations occur within mathematics itself” (Mancosu 2018) might be a fruitful way to shed new light on the problem. By carefully selecting indicator words for explanation and justification, and then systematically searching for these indicators in databases of scholarly works in mathematics, we can get an idea of how mathematicians use these terms in mathematical practice and with what frequency. The results of (...)
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  46. added 2020-07-06
    Dependent Choice, Properness, and Generic Absoluteness.David Asperó & Asaf Karagila - forthcoming - Review of Symbolic Logic:1-23.
  47. added 2020-07-06
    Filter-Linkedness and its Effect on Preservation of Cardinal Characteristics.Jörg Brendle, Miguel A. Cardona & Diego A. Mejía - 2021 - Annals of Pure and Applied Logic 172 (1):102856.
    We introduce the property “F-linked” of subsets of posets for a given free filter F on the natural numbers, and define the properties “μ-F-linked” and “θ-F-Knaster” for posets in a natural way. We show that θ-F-Knaster posets preserve strong types of unbounded families and of maximal almost disjoint families. Concerning iterations of such posets, we develop a general technique to construct θ-Fr-Knaster posets (where Fr is the Frechet ideal) via matrix iterations of <θ-ultrafilter-linked posets (restricted to some level of the (...)
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  48. added 2020-07-06
    Avis sur « Je suis une Boucle Etrange » (I Am a Strange Loop) de Douglas Hofstadter (2007) (examen révisé 2019).Michael Richard Starks - 2020 - In Bienvenue en Enfer sur Terre : Bébés, Changement climatique, Bitcoin, Cartels, Chine, Démocratie, Diversité, Dysgénique, Égalité, Pirates informatiques, Droits de l'homme, Islam, Libéralisme, Prospérité, Le Web, Chaos, Famine, Maladie, Violence, Intellige. Las Vegas, NV USA: Reality Press. pp. 110-127.
    Dernier Sermon de l’Église du naturalisme fondamentaliste par le pasteur Hofstadter. Comme son travail beaucoup plus célèbre (ou infâme pour ses erreurs philosophiques implacables) Godel, Escher, Bach, il a une plausibilité superficielle, mais si l’on comprend que c’est le scientisme rampant qui mélange les vrais problèmes scientifiques avec les questions philosophiques (c’est-à-dire, les seules vraies questions sont ce que les jeux linguistiques que nous devrions jouer), alors presque tout son intérêt disparaît. Je fournis un cadre d’analyse basé sur la psychologie (...)
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  49. added 2020-07-05
    Euclidean Geometry is a Priori.Boris Culina - manuscript
    In the article, an argument is given that Euclidean geometry is a priori in the same way that numbers are a priori, the result of modelling, not the world, but our activities in the world.
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  50. added 2020-06-30
    Peirce's Topical Continuum: A “Thicker” Theory.Jon Alan Schmidt - 2020 - Transactions of the Charles S. Peirce Society 56 (1):62-80.
    Although Peirce frequently insisted that continuity was a core component of his philosophical thought, his conception of it evolved considerably during his lifetime, culminating in a theory grounded primarily in topical geometry. Two manuscripts, one of which has never before been published, reveal that his formulation of this approach was both earlier and more thorough than most scholars seem to have realized. Combining these and other relevant texts with the better-known passages highlights a key ontological distinction: a collection is bottom-up, (...)
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