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  1. History of Arabic Logic.Mehmet Karabela - 2021 - In Islamic Thought Through Protestant Eyes. New York: Routledge. pp. 224-235.
    Johannes Steuchius’ disputatio uses Arabic logic to present an historical account of the development of philosophical thought in Arabia before and after the emergence of Islam. Steuchius first proposes that philosophy drew its origins from the East. His evidence for this claim is that many of the Greek philosophers, considered the forefathers of European philosophy, began cultivating their philosophical thinking as a result of exposure to ancient Eastern philosophy. After the introduction of Greek philosophy, it is agreed that dialectic was (...)
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  2. Bunge y la validez de la adición.Estrada-González Luis & Romero-Rodríguez Christian - 2022 - In Guerrero-Pino German & Racines Jairo Isaac (eds.), Ciencia, Realismo y materialismo. Cali, Colombia: Universidad del Valle. pp. 191-202.
    En The paradox of Addition and its dissolution (1969), Mario Bunge presenta algunos argumentos para mostrar que la Regla de Adición puede ocasionar paradojas o problemas semánticos. Posteriormente, Margáin (1972) y Robles (1976) mostraron que las afirmaciones de Bunge son insostenibles, al menos desde el punto de vista de la lógica clásica. Aunque estamos de acuerdo con las críticas de Margáin y Robles, no estamos de acuerdo en el diagnóstico del origen del problema y tampoco con la manera en la (...)
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  3. Riflessioni sul concetto di necessità nella prima metà del XII secolo.Irene Binini - 2019 - In Fabrizio Amerini, Simone Fellina & Andrea Strazzoni (eds.), Tra antichità e modernità. Studi di storia della filosofia medievale e rinascimentale. Parma: E-theca OnLineOpenAccess Edizioni. pp. 1045-1088.
    In this essay, I consider some logical treatises and commentaries from the first decades of the 12th century (many of which are still unedited) which contain a discussion on modalities and modal logic. After presenting a short catalogue of these sources and a description of their common features, I shall focus on some definitions of the modal term “necessarium” which are provided in them. As we will see, Abelard and logicians of his time advanced three different characterizations of this term: (...)
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  4. Parafrasando Vignaux. Il posto della logica nella storia del pensiero medievale.Dino Buzzetti - 2019 - In Fabrizio Amerini, Simone Fellina & Andrea Strazzoni (eds.), Tra antichità e modernità. Studi di storia della filosofia medievale e rinascimentale. Parma: E-theca OnLineOpenAccess Edizioni. pp. 974-1044.
    A sound historiographical account of the role of logic in the development of medieval philosophical and theological reflection requires a thorough examination of its historical roots and its theoretical implications. An apparent historiographical bias, due to the idea that only the development of contemporary formal logic enables a proper reconstruction of the whole history of logic, can be exposed by taking into account the case of the medieval discussions on the topics, starting from their late-antiquity legacy. An attentive inspection of (...)
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  5. A Little More Logical: Reasoning Well About Science, Ethics, Religion, and the Rest of Life.Brendan Shea - 2023 - Rochester, MN: Thoughtful Noodle Books.
    "A Little More Logical" is the perfect guide for anyone looking to improve their critical thinking and logical reasoning skills. With chapters on everything from logic basics to fallacies of weak induction to moral reasoning, this book covers all the essential concepts you need to become a more logical thinker. You'll learn about influential figures in the field of logic, such as Rudolph Carnap, Betrrand Russell, and Ada Lovelace, and how to apply your newfound knowledge to real-world situations. Whether you're (...)
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  6. Aristotele e il primo Agostino secondo gli apporti della critica recente.Franco De Capitani - 2016 - In Fabrizio Amerini & Stefano Caroti (eds.), Ipsum verum non videbis nisi in philosophiam totus intraveris. Studi in onore di Franco De Capitani. Parma: E-theca OnLineOpenAccess Edizioni. pp. 233-280.
    This work sheds light on the presence of Aristotelian elements in Augustine’s early works, which was more substantial than what it is usually believed. In fact, the young African rhetorician did not only know Aristotle’s Categoriae, which he read when he was a student in Carthage, but also other works by him, such as his De interpretatione, already translated into Latin at Augustine’s time, as well as Aristotelian-inspired works. That is the case of Themistius’s paraphrases of Aristotle’s Analytica and his (...)
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  7. Modality and Validity in the Logic of John Buridan.Boaz Faraday Schuman - 2021 - Dissertation, University of Toronto
    What makes a valid argument valid? Generally speaking, in a valid argument, if the premisses are true, then the conclusion must necessarily also be true. But on its own, this doesn’t tell us all that much. What is truth? And what is necessity? In what follows, I consider answers to these questions proposed by the fourteenth century logician John Buridan († ca. 1358). My central claim is that Buridan’s logic is downstream from his metaphysics. Accordingly, I treat his metaphysical discussions (...)
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  8. Multiple Generality in Scholastic Logic.Boaz Faraday Schuman - 2022 - Oxford Studies in Medieval Philosophy 10:215-282.
    Multiple generality has long been known to cause confusion. For example, “Everyone has a donkey that is running” has two readings: either (i) there is a donkey, owned by everyone, and it is running; or (ii) everyone owns some donkey or other, and all such donkeys run. Medieval logicians were acutely aware of such ambiguities, and the logical problems they pose, and sought to sort them out. One of the most ambitious undertakings in this regard is a pair of massive (...)
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  9. Communicating with colourings.Lwenn Bussière-Caraes - 2022 - In Piotr Stalmaszczyk & Martin Hinton (eds.), Philosophical Approaches to Language and Communication (vol 2). pp. 151-170.
    A speaker can express the same thought, true under the same conditions, while using different expressions and grammatical constructions. According to Frege, these are differences in colourings. Colourings may convey additional contents; in that, they resemble Gricean conventional implicatures. Sander (2019) argues that Gricean implicatures do not subsume the category of colourings, as some colourings do not communicate their content. I show that this argument relies on a notion of communication focused on the speaker's intentions. But a notion of communicative (...)
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  10. Leibnizian and Nonstandard Analysis: Philosophical Problematization of an Alleged Continuity.Ivano Zanzarella - manuscript
    In the present paper the philosophical and mathematical continuity alleged by A. Robinson in Nonstandard Analysis (1966) between his theory and Leibniz’s calculus is investigated. In Section 1, after a brief overview of the history of analysis, we expose the historical, mathematical and philosophical aspects of Leibniz’s calculus. In Section 2 the main technical aspects of nonstandard analysis are presented, and Robinson’s philosophy is discussed. In Section 2.1 we claim the absence of a complete and direct continuity and the only (...)
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  11. The Philosophy of Logic of Francisco Miró Quesada Cantuarias.Newton da Costa, José Carlos Cifuentes & Luis Felipe Bartolo Alegre - 2020 - South American Journal of Logic 6 (2):189-208.
    In this historical article, Newton da Costa discusses Francisco Miró Quesada’s philosophical ideas about logic. He discusses the topics of reason, logic, and action in Miró Quesada’s work, and in the final section he offers his critical view. In particular, he disagrees with Miró Quesada’s stance on the historicity of reason, for whom “reason is essentially absolute”, whereas for da Costa it “is being constructed in the course of history”. Da Costa concludes by emphasizing the importance of Miró Quesada’s theory (...)
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  12. Francisco Miró Quesada Cantuarias’ Bibliography.Luis Felipe Bartolo Alegre & Fabiola Valeria Cárdenas Maldonado - 2020 - South American Journal of Logic 6 (2):377–428.
    We present a bibliography of Francisco Miró Quesada Cantuarias’ works divided by subject and subdivided by work type, and compare it with the last version of that made by Sobrevilla.
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  13. Наука и логика: однос науке и логике кроз историју.Mitar Nedeljkovic - 2020 - Наука Без Граница 3“ Међународни Тематски Зборник 3 (1):359-371.
    In this paper, the author considers the relationship between science and logic through their historical development. Logic is traditionally understood as a system of principles of valid inference by which the truthfulness of a statement is preserved through the transformation of its content. As such, logic requires that those principles apply regardless of the subject matter under consideration. Therefore, it is undisputable that there is a connection between science and logic: science without inference would be reduced only to a bunch (...)
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  14. Epistemic Sophisms, Calculatores and John Mair’s Circle.Miroslav Hanke - 2022 - Noctua 9 (3):89-131.
    This paper focuses on the early sixteenth-century epistemic logic developed by John Mair’s circle and discusses iterated epistemic modalities, epistemic closure and Bradwardinian semantics related to the logic of epistemic statements. These topics are addressed as part of setting up and solving epistemic sophisms based on traditional scenarios which can be traced back to fourteenth-century British epistemic logic. While the ultimate source for the debate appears to be the second chapter of William Heytesbury’s Regule solvendi sophismata, the immediate source is (...)
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  15. Medieval Theories on the Conceivability of the Impossible: A Survey of Impossible Positio in Ars Obligatoria during the 13th–14th Centuries.Irene Binini - 2022 - Noctua 9 (3):1-47.
    During the 13th century, several logicians in the Latin medieval tradition showed a special interest in the nature of impossibility, and in the different kinds or ‘degrees’ of impossibility that could be distinguished. This discussion resulted in an analysis of the modal concept with a fineness of grain unprecedented in earlier modal accounts. Of the several divisions of the term ‘impossible’ that were offered, one became particularly relevant in connection with the debate on ars obligatoria and positio impossibilis: the distinction (...)
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  16. Some paradoxes of infinity revisited.Yaroslav Sergeyev - 2022 - Mediterranian Journal of Mathematics 19:143.
    In this article, some classical paradoxes of infinity such as Galileo’s paradox, Hilbert’s paradox of the Grand Hotel, Thomson’s lamp paradox, and the rectangle paradox of Torricelli are considered. In addition, three paradoxes regarding divergent series and a new paradox dealing with multiplication of elements of an infinite set are also described. It is shown that the surprising counting system of an Amazonian tribe, Pirah ̃a, working with only three numerals (one, two, many) can help us to change our perception (...)
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  17. A forgotten logical expressivist: Strawson’s philosophy of logic and its challenges.Sybren Heyndels - 2022 - Synthese 200 (3):1-23.
    P.F. Strawson contributed to many philosophical domains, including the philosophy of language, the history of philosophy, metaphysics, moral philosophy and philosophical methodology. Most of his contributions in these areas have influenced contemporary debates, either because his views are still defended or because they are still considered worthy of detailed responses. His views on the philosophy of logic have been only rarely discussed, however. My aim in this paper is threefold. First, I provide a systematic account of Strawson’s philosophy of logic. (...)
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  18. Logical Truth / Logička istina (Bosnian translation by Nijaz Ibrulj).Nijaz Ibrulj & Willard Van Orman Quine - 2018 - Sophos 1 (11):115-128.
    Translated from: W.V.O.Quine, W. H. O. (1986): Philosophy of Logic. Second Edition. Harvard University Press. Cambridge, Massachusetts and London, England, 47-61.
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  19. Against Fregean Quantification.Bryan Pickel & Brian Rabern - forthcoming - Ergo.
    There are two dominant approaches to quantification: the Fregean and the Tarskian. While the Tarskian approach is standard and familiar, deep conceptual objections have been pressed against its employment of variables as genuine syntactic and semantic units. Because they do not explicitly rely on variables, Fregean approaches are held to avoid these worries. The apparent result is that the Fregean can deliver something that the Tarskian is unable to, namely a compositional semantic treatment of quantification centered on truth and reference. (...)
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  20. What the Tortoise Said to Achilles: Lewis Carroll’s paradox in terms of Hilbert arithmetic.Vasil Penchev - 2021 - Logic and Philosophy of Mathematics eJournal (Elsevier: SSRN) 13 (22):1-32.
    Lewis Carroll, both logician and writer, suggested a logical paradox containing furthermore two connotations (connotations or metaphors are inherent in literature rather than in mathematics or logics). The paradox itself refers to implication demonstrating that an intermediate implication can be always inserted in an implication therefore postponing its ultimate conclusion for the next step and those insertions can be iteratively and indefinitely added ad lib, as if ad infinitum. Both connotations clear up links due to the shared formal structure with (...)
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  21. Bishop's Mathematics: a Philosophical Perspective.Laura Crosilla - forthcoming - In Handbook of Bishop's Mathematics. CUP.
    Errett Bishop's work in constructive mathematics is overwhelmingly regarded as a turning point for mathematics based on intuitionistic logic. It brought new life to this form of mathematics and prompted the development of new areas of research that witness today's depth and breadth of constructive mathematics. Surprisingly, notwithstanding the extensive mathematical progress since the publication in 1967 of Errett Bishop's Foundations of Constructive Analysis, there has been no corresponding advances in the philosophy of constructive mathematics Bishop style. The aim of (...)
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  22. A Simple Logical Matrix and Sequent Calculus for Parry’s Logic of Analytic Implication.Damian E. Szmuc - 2021 - Studia Logica 109 (4):791-828.
    We provide a logical matrix semantics and a Gentzen-style sequent calculus for the first-degree entailments valid in W. T. Parry’s logic of Analytic Implication. We achieve the former by introducing a logical matrix closely related to that inducing paracomplete weak Kleene logic, and the latter by presenting a calculus where the initial sequents and the left and right rules for negation are subject to linguistic constraints.
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  23. A Phenomenology of Race in Frege's Logic.Joshua M. Hall - forthcoming - Humanities Bulletin.
    This article derives from a project attempting to show that Western formal logic, from Aristotle onward, has both been partially constituted by, and partially constitutive of, what has become known as racism. In the present article, I will first discuss, in light of Frege’s honorary role as founder of the philosophy of mathematics, Reuben Hersh’s What is Mathematics, Really? Second, I will explore how the infamous section of Frege’s 1924 diary (specifically the entries from March 10 to April 9) supports (...)
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  24. Gottlob Frege: Ist Wahrheit definierbar?David Löwenstein - 2021 - Zeitschrift Für Didaktik der Philosophie Und Ethik 4:73-79.
    This paper presents a passage on truth from "Der Gedanke" and comments on its content and use in the classroom.
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  25. Frege plagiarized the Stoics.Susanne Bobzien - 2021 - In Fiona Leigh (ed.), Themes in Plato, Aristotle, and Hellenistic Philosophy, Keeling Lectures 2011-2018. University of Chicago Press. pp. 149-206.
    In this extended essay, I argue that Frege plagiarized the Stoics --and I mean exactly that-- on a large scale in his work on the philosophy of logic and language as written mainly between 1890 and his death in 1925 (much of which published posthumously) and possibly earlier. I use ‘plagiarize' (or 'plagiarise’) merely as a descriptive term. The essay is not concerned with finger pointing or casting moral judgement. The point is rather to demonstrate carefully by means of detailed (...)
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  26. How Can Buddhists Prove That Non-Existent Things Do Not Exist?Koji Tanaka - 2021 - In Sara Bernstein & Tyron Goldschmidt (eds.), Non-Being: New Essay on the Metaphysics of Non-Existence. Oxford, UK: Oxford University Press. pp. 82-96.
    How can Buddhists prove that non-existent things do not exist? With great difficulty. For the Buddhist, this is not a laughing matter as they are largely global error theorists and, thus, many things are non-existent. The difficulty gets compounded as the Buddhist and their opponent, the non-Buddhist of various kinds, both agree that one cannot prove a thesis whose subject is non-existent. In this paper, I will first present a difficulty that Buddhist philosophers have faced in proving that what they (...)
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  27. Philosophical Investigation Series: Selected Texts on Logic / Série Investigação Filosófica: Textos Selecionados de Lógica.Danilo Fraga Dantas & Rodrigo Cid - 2020 - Pelotas - Princesa, Pelotas - RS, Brasil: UFPEL's Publisher / Editora da UFPEL.
    Este livro marca o início da Série Investigação Filosófica. Uma série de livros de traduções de textos de plataformas internacionalmente reconhecidas, que possa servir tanto como material didático para os professores das diferentes subáreas e níveis da Filosofia quanto como material de estudo para o desenvolvimento pesquisas relevantes na área. Nós, professores, sabemos o quão difícil é encontrar bons materiais em português para indicarmos. E há uma certa deficiência na graduação brasileira de filosofia, principalmente em localizações menos favorecidas, com relação (...)
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  28. "If-then" as a version of "Implies".Matheus Silva - manuscript
    Russell’s role in the controversy about the paradoxes of material implication is usually presented as a tale of how even the greatest minds can fall prey of basic conceptual confusions. Quine accused him of making a silly mistake in Principia Mathematica. He interpreted “if- then” as a version of “implies” and called it material implication. Quine’s accusation is that this decision involved a use-mention fallacy because the antecedent and consequent of “if- then” are used instead of being mentioned as the (...)
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  29. On Russell's Logical Atomism.Landon D. C. Elkind - 2018 - In Landon D. C. Elkind & Gregory Landini (eds.), The Philosophy of Logical Atomism: A Centenary Reappraisal. Basingstoke, UK: Palgrave Macmillan. pp. 3-37.
    I characterize and argue against the standard interpretation of logical atomism. The argument against this reading is historical: the standard interpretation of logical atomism (1) fails to explain how the view is inspired by nineteenth-century developments in mathematics, (2) fails to explain how logic is central to logical atomism, and (3) fails to explain how logical atomism is a revolutionary and new "scientific philosophy." In short, the standard interpretation is a bad history of logical atomism. A novel interpretation of the (...)
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  30. Logikdiagramme und Logikmaschinen aus der Zittauer Schule um Christian Weise.Jens Lemanski - 2019 - Neues Lausitzische Magazin 141 (1):39-57.
    A particularly promising trail on the search for forgotten logic diagrams leads to Upper Lusatia in the 17th century, more precisely to Christian Weise and his students. Samuel Grosser, who later became rector in Görlitz, and Johann Christian Lange, who later became professor of logic at the University of Gießen, are the most prominent to have published remarkable logic diagrams. Even more remarkable, however, is the fact that Lange's interest in these diagrams ultimately gave rise to the idea of building (...)
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  31. Intuitionist Reasoning in the Tri-Unitarian Theology of Nicholas of Cues (1401-1464).Antonino Drago - 2019 - Journal of Applied Logic 6 (6):1143-1186.
    The main subject of Cusanus’ investigations was the name of God. He claimed to have achieved the best possible one, Not-Other. Since Cusanus stressed that these two words do not mean the corresponding affirmative word, i.e. the same, they represent the failure of the double negation law and there￾fore belong to non-classical, and above all, intuitionist logic. Some of his books implicitly applied intuitionist reasoning and the corresponding organization of a theory which is governed by intuitionist logic. A comparison of (...)
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  32. Formalizing Kant’s Rules.Richard Evans, Andrew Stephenson & Marek Sergot - 2019 - Journal of Philosophical Logic 48:1-68.
    This paper formalizes part of the cognitive architecture that Kant develops in the Critique of Pure Reason. The central Kantian notion that we formalize is the rule. As we interpret Kant, a rule is not a declarative conditional stating what would be true if such and such conditions hold. Rather, a Kantian rule is a general procedure, represented by a conditional imperative or permissive, indicating which acts must or may be performed, given certain acts that are already being performed. These (...)
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  33. Les attitudes russelliennes.Fabien Schang - 2017 - Cahiers de Philosophie de L’Université de Caen 54:149-168.
    Russell prétend qu’un examen des croyances est indispensable pour définir nos raisonnements quotidiens et comprendre ce que les philosophes entendent par la notion de vérité. Cela étant, l’auteur considère qu’une étude de ces croyances n’a aucun rapport avec la logique, laquelle concerne uniquement le vrai et le faux. En d’autres termes, Russell associe croyance et psychologie tout en réservant le domaine de la logique au thème de la proposition, vraie ou fausse par définition. Une certaine théorie de la vérité sous-tend (...)
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  34. Elements of Boethian ontology.Roberto Pinzani - 2018 - Noctua 5 (1):1-31.
    In the commentaries on Porphyry Boethius on the one hand explains the properties of predication relation at abstract level, from another hand he supplies some ontological options about what can instantiate the terms of the relation, at the end he seems to prefer the similarities as objects of abstract thought. Other options are anyway present, in the commentary on Categories and in the Theological Treatises. One cannot say that the catalogues are complementary or that the same things are catalogued once (...)
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  35. L’Art de penser nella logica del Système di Régis: quadro sinottico.Nausicaa Elena Milani - 2014 - Noctua 1 (1):132-204.
    One of the most mature achievements of the Cartesian philosophy is the aim to diffuse Descartes’ thought among a wider audience by presenting his philosophy in an encyclopedic way. A relevant contribution in this field is Pierre Sylvain Régis’s Système. Régis’s contribution consists both in reconciling the new scientific discoveries with les principes de Monsieur Descartes by combining them into a scholarly manual whose aim is to stimulate the ars inveniendi and in recognizing the relevance of Arnauld’s and Nicole’s L’art (...)
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  36. Track-Down Operations on Bilattices.Damian Szmuc - 2018 - In Robert Wille & Martin Lukac (eds.), Proceedings of the 48th IEEE International Symposium on Multiple-Valued Logic. Los Alamitos, California, EE. UU.: pp. 74-79.
    This paper discusses a dualization of Fitting's notion of a "cut-down" operation on a bilattice, rendering a "track-down" operation, later used to represent the idea that a consistent opinion cannot arise from a set including an inconsistent opinion. The logic of track-down operations on bilattices is proved equivalent to the logic d_Sfde, dual to Deutsch's system S_fde. Furthermore, track-down operations are employed to provide an epistemic interpretation for paraconsistent weak Kleene logic. Finally, two logics of sequential combinations of cut-and track-down (...)
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  37. A Darkly Bright Republic: Milton's Poetic Logic.Joshua M. Hall - 2018 - South African Journal of Philosophy 37 (2):158-170.
    My first section considers Walter J. Ong’s influential analyses of the logical method of Peter Ramus, on whose system Milton based his Art of Logic. The upshot of Ong’s work is that philosophical logic has become a kind monarch over all other discourses, the allegedly timeless and universal method of mapping and diagramming all concepts. To show how Milton nevertheless resists this tyrannical result in his non-Logic writings, my second section offers new readings of Milton’s poems Il Penseroso and Sonnet (...)
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  38. Note on the Significance of the New Logic.Frederique Janssen-Lauret - 2018 - The Reasoner 6 (12):47-48.
    Brief note explaining the content, importance, and historical context of my joint translation of Quine's The Significance of the New Logic with my single-authored historical-philosophical essay 'Willard Van Orman Quine's Philosophical Development in the 1930s and 1940s'.
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  39. Periods in the Use of Euler-type Diagrams.Jens Lemanski - 2017 - Acta Baltica Historiae Et Philosophiae Scientiarum 5 (1):50-69.
    Logicians commonly speak in a relatively undifferentiated way about pre-euler diagrams. The thesis of this paper, however, is that there were three periods in the early modern era in which euler-type diagrams (line diagrams as well as circle diagrams) were expansively used. Expansive periods are characterized by continuity, and regressive periods by discontinuity: While on the one hand an ongoing awareness of the use of euler-type diagrams occurred within an expansive period, after a subsequent phase of regression the entire knowledge (...)
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  40. Alfredo Deaño and the non-accidental transition of thought.Maria G. Navarro - 2016 - Archives for the Philosohy and History of Soft Computing (1):1-13.
    If the cultural variations concerning knowledge and research on ordinary reasoning are part of cultural history, what kind of historiographical method is needed in order to present the history of its evolution? This paper proposes to introduce the study of theories of reasoning into a historiographic perspective because we assume that the answer to the previous question does not only depend of internal controversies about how reasoning performance is explained by current theories of reasoning. [...].
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  41. A Inseparabilidade entre Lógica e a Ética.John Corcoran - 2013 - Philósophos - Revista de Filosofia 18 (1):245-259.
    A Inseparabilidade entre Lógica e a Ética. Philósophos. 18 (2013) 245–259. Portuguese translation by Décio Krause and Pedro Merlussi: The Inseparability of Logic and Ethics, Free Inquiry, Spring 1989, 37–40. This essay takes logic and ethics in broad senses: logic as the science of evidence; ethics as the science of justice. One of its main conclusions is that neither science can be fruitfully pursued without the virtues fostered by the other: logic is pointless without fairness and compassion; ethics is pointless (...)
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  42. Reid, Constance. Hilbert (a Biography). Reviewed by Corcoran in Philosophy of Science 39 (1972), 106–08.John Corcoran - 1972 - 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 (...)
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  43. Corcoran recommends Hambourger on the Frege-Russell number definition.John Corcoran - 1978 - 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 possible world, (3) (...)
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  44. LOGIC TEACHING IN THE 21ST CENTURY.John Corcoran - manuscript
    We are much better equipped to let the facts reveal themselves to us instead of blinding ourselves to them or stubbornly trying to force them into preconceived molds. We no longer embarrass ourselves in front of our students, for example, by insisting that “Some Xs are Y” means the same as “Some X is Y”, and lamely adding “for purposes of logic” whenever there is pushback. Logic teaching in this century can exploit the new spirit of objectivity, humility, clarity, observationalism, (...)
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  45. INFORMATION-THEORETIC LOGIC.John Corcoran - 1998 - In C. Martínez U. Rivas & L. Villegas-Forero (eds.), Truth in Perspective edited by C. Martínez, U. Rivas, L. Villegas-Forero, Ashgate Publishing Limited, Aldershot, England (1998) 113-135. ASHGATE. pp. 113-135.
    Information-theoretic approaches to formal logic analyse the "common intuitive" concept of propositional implication (or argumental validity) in terms of information content of propositions and sets of propositions: one given proposition implies a second if the former contains all of the information contained by the latter; an argument is valid if the conclusion contains no information beyond that of the premise-set. This paper locates information-theoretic approaches historically, philosophically and pragmatically. Advantages and disadvantages are identified by examining such approaches in themselves and (...)
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  46. La Pointure du Symbole.Jean-Yves Beziau (ed.) - 2014 - Petra.
    Dans un texte désormais célèbre, Ferdinand de Saussure insiste sur l’arbitraire du signe dont il vante les qualités. Toutefois il s’avère que le symbole, signe non arbitraire, dans la mesure où il existe un rapport entre ce qui représente et ce qui est représenté, joue un rôle fondamental dans la plupart des activités humaines, qu’elles soient scientifiques, artistiques ou religieuses. C’est cette dimension symbolique, sa portée, son fonctionnement et sa signification dans des domaines aussi variés que la chimie, la théologie, (...)
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  47. PSYCHOLOGISM.John Corcoran - 2007 - In John Lachs and Robert Talisse (ed.), American Philosophy: an Encyclopedia. ROUTLEDGE. pp. 628-9.
    Corcoran, J. 2007. Psychologism. American Philosophy: an Encyclopedia. Eds. John Lachs and Robert Talisse. New York: Routledge. Pages 628-9. -/- Psychologism with respect to a given branch of knowledge, in the broadest neutral sense, is the view that the branch is ultimately reducible to, or at least is essentially dependent on, psychology. The parallel with logicism is incomplete. Logicism with respect to a given branch of knowledge is the view that the branch is ultimately reducible to logic. Every branch of (...)
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  48. Expressing set-size equality.John Corcoran & Gerald Rising - 2015 - Bulletin of Symbolic Logic 21 (2):239.
    The word ‘equality’ often requires disambiguation, which is provided by context or by an explicit modifier. For each sort of magnitude, there is at least one sense of ‘equals’ with its correlated senses of ‘is greater than’ and ‘is less than’. Given any two magnitudes of the same sort—two line segments, two plane figures, two solids, two time intervals, two temperature intervals, two amounts of money in a single currency, and the like—the one equals the other or the one is (...)
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  49. equality and identity.John Corcoran & Anthony Ramnauth - 2013 - Bulletin of Symbolic Logic 19 (3):255-256.
    Equality and identity. Bulletin of Symbolic Logic. 19 (2013) 255-6. (Coauthor: Anthony Ramnauth) Also see https://www.academia.edu/s/a6bf02aaab This article uses ‘equals’ [‘is equal to’] and ‘is’ [‘is identical to’, ‘is one and the same as’] as they are used in ordinary exact English. In a logically perfect language the oxymoron ‘the numbers 3 and 2+1 are the same number’ could not be said. Likewise, ‘the number 3 and the number 2+1 are one number’ is just as bad from a logical point (...)
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  50. Formalizing Euclid’s first axiom.John Corcoran - 2014 - Bulletin of Symbolic Logic 20 (3):404-405.
    Formalizing Euclid’s first axiom. Bulletin of Symbolic Logic. 20 (2014) 404–5. (Coauthor: Daniel Novotný) -/- Euclid [fl. 300 BCE] divides his basic principles into what came to be called ‘postulates’ and ‘axioms’—two words that are synonyms today but which are commonly used to translate Greek words meant by Euclid as contrasting terms. -/- Euclid’s postulates are specifically geometric: they concern geometric magnitudes, shapes, figures, etc.—nothing else. The first: “to draw a line from any point to any point”; the last: the (...)
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