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  1. Is Every Deductively Valid Argument Circular?Danny Frederick - manuscript
    David Miller claims that every valid deductive argument begs the question. Other philosophers and logicians have made similar claims. I show that the claim is false. Its appeal depends on the existence of logical terminology, particularly concerning what a proposition 'contains' or its 'logical content,' that is best understood as metaphoric and that, given its aptness to mislead, would be better eschewed. I show how the terminology appears to derive from early modern theories of the nature of mind, ideas and (...)
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  2. Phenomenological Objects & Meaning: A Fregean & Husserlian Discussion.Daniel Sierra - manuscript
    Gottlob Frege and Edmund Husserl are two seemingly different philosophers in their methodology. Both have significantly influenced Western philosophy in that their contributions established fields within philosophy that are of intensive study today. Still, their differences in methodology have, in certain instances, yielded similar or distinct results. Their results ranged from the distinction of sense and reference, objectivity, and the theory of mathematics: specifically, their definition of number. Frege and Husserl have such striking similarities in their theory of sense and (...)
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  3. A Reassessment of Cantorian Abstraction based on the ε-operator.Nicola Bonatti - forthcoming - Synthese.
    Cantor's abstractionist account of cardinal numbers has been criticized by Frege as a psychological theory of numbers which leads to contradiction. The aim of the paper is to meet these objections by proposing a reassessment of Cantor's proposal based upon the set theoretic framework of Bourbaki - called BK - which is a First-order set theory extended with Hilbert's ε-operator. Moreover, it is argued that the BK system and the ε-operator provide a faithful reconstruction of Cantor's insights on cardinal numbers. (...)
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  4. Peano, Frege and Russell’s Logical Influences.Kevin C. Klement - forthcoming - Forthcoming.
    This chapter clarifies that it was the works Giuseppe Peano and his school that first led Russell to embrace symbolic logic as a tool for understanding the foundations of mathematics, not those of Frege, who undertook a similar project starting earlier on. It also discusses Russell’s reaction to Peano’s logic and its influence on his own. However, the chapter also seeks to clarify how and in what ways Frege was influential on Russell’s views regarding such topics as classes, functions, meaning (...)
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  5. Does Logic Have a History at All?Jens Lemanski - forthcoming - Foundations of Science:1-23.
    To believe that logic has no history might at first seem peculiar today. But since the early 20th century, this position has been repeatedly conflated with logical monism of Kantian provenance. This logical monism asserts that only one logic is authoritative, thereby rendering all other research in the field marginal and negating the possibility of acknowledging a history of logic. In this paper, I will show how this and many related issues have developed, and that they are founded on only (...)
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  6. The Semantics of Divine Esse in Boethius.Elliot Polsky - forthcoming - Nova et Vetera.
    Boethius identifies God both with esse ipsum and esse suum. This paper explains Boethius's general semantic use of "esse" and the application of this use to God. It questions the helpfulness of attributing to Boethius "existence" words and argues for a more robust role in Boethius’s thought for Hilary of Poitiers’s and Augustine’s exegeses of Exodus 3:14-15 than has been acknowledged in recent scholarship.
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  7. The Phenomenology for the Chemistry (2nd edition).Rosanna Festa - 2024
    Nuova edizione di The Phenomenology for the Chemistry del 2014.
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  8. Higher-Order Metaphysics in Frege and Russell.Kevin C. Klement - 2024 - In Peter Fritz & Nicholas K. Jones (eds.), Higher-Order Metaphysics. Oxford University Press. pp. 355-377.
    This chapter explores the metaphysical views about higher-order logic held by two individuals responsible for introducing it to philosophy: Gottlob Frege (1848–1925) and Bertrand Russell (1872–1970). Frege understood a function at first as the remainder of the content of a proposition when one component was taken out or seen as replaceable by others, and later as a mapping between objects. His logic employed second-order quantifiers ranging over such functions, and he saw a deep division in nature between objects and functions. (...)
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  9. Kant’s Crucial Contribution to Euler Diagrams.Jens Lemanski - 2024 - Journal for General Philosophy of Science / Zeitschrift für Allgemeine Wissenschaftstheorie 55 (1):59–78.
    Logic diagrams have been increasingly studied and applied for a few decades, not only in logic, but also in many other fields of science. The history of logic diagrams is an important subject, as many current systems and applications of logic diagrams are based on historical predecessors. While traditional histories of logic diagrams cite pioneers such as Leibniz, Euler, Venn, and Peirce, it is not widely known that Kant and the early Kantians in Germany and England played a crucial role (...)
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  10. An Axiomatic System Based on Ladd-Franklin's Antilogism.Fangzhou Xu - 2024 - History and Philosophy of Logic 45 (3):302-322.
    This paper sketches the antilogism of Christine Ladd-Franklin and historical advancement about antilogism, mainly constructs an axiomatic system Atl based on first-order logic with equality and the wholly-exclusion and not-wholly-exclusion relations abstracted from the algebra of Ladd-Franklin, with soundness and completeness of Atl proved, providing a simple and convenient tool on syllogistic reasoning. Atl depicts the empty class and the whole class differently from normal set theories, e.g. ZFC, revealing another perspective on sets and set theories. Two series of Dotterer (...)
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  11. Peirce on Inference: Validity, Strength, and the Community of Inquirers.Richard Kenneth Atkins - 2023 - New York City: Oxford University Press.
    Above all other titles, Charles Sanders Peirce (1839-1914) prized that of logician. He thought of logic broadly, such that it includes not merely formal logic but an examination of the entire process of inquiry. His works are replete with detailed investigations into logical questions. Peirce is especially concerned to show that valid inferential processes, diligently followed, will eventually root out error and alight on the truth. Peirce on Inference draws together diverse strands from Peirce's lifelong reflections on logic in order (...)
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  12. How Can Christian Philosophers Improve Their Arguments?Marcin Będkowski & Jakub Pruś - 2023 - Forum Philosophicum: International Journal for Philosophy 28 (1):63-83.
    The purpose of this paper is to analyse and compare two concepts which tend to be treated as synonymous, and to show the difference between them: these are critical thinking and logical culture. Firstly, we try to show that these cannot be considered identical or strictly equivalent: i.e. that the concept of logical culture includes more than just critical thinking skills. Secondly, we try to show that Christian philosophers, when arguing about philosophical matters and teaching philosophy to students, should not (...)
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  13. The Genealogy of ‘∨’.Landon D. C. Elkind & Richard Zach - 2023 - Review of Symbolic Logic 16 (3):862-899.
    The use of the symbol ∨for disjunction in formal logic is ubiquitous. Where did it come from? The paper details the evolution of the symbol ∨ in its historical and logical context. Some sources say that disjunction in its use as connecting propositions or formulas was introduced by Peano; others suggest that it originated as an abbreviation of the Latin word for “or,” vel. We show that the origin of the symbol ∨ for disjunction can be traced to Whitehead and (...)
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  14. Символічна логіка: повернення до витоків. Стаття ІV. Графіки функцій та відношень.Yaroslav Kokhan - 2023 - Multiversum. Philosophical Almanac 2 (2):129-143.
    The paper is the Part IV of the large research, dedicated to both revision of the system of basic logical categories and generalization of modern predicate logic to functional logic. The topic of the paper is consideration of graphs of functions and relations as a derivative and definable category of ultra-Fregean logistics. There are two types of function specification: an operational specification, in which a function is first applied to arguments and then the value of the function is entered as (...)
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  15. Psychology and Time in Boole’s Logic.Andrew Stone - 2023 - History and Philosophy of Logic 44 (1):1-15.
    In the Laws of Thought, Boole establishes a theory of secondary propositions based upon the notion of time. This temporal interpretation of secondary propositions has historically been met with wide disapproval and is usually dismissed in the modern literature as a philosophical non-starter. What was Boole thinking? This paper attempts to give an answer to this question. Specifically, it provides an account according to which Boole’s temporal interpretation follows from his psychologistic conception of logic, in addition to certain background assumptions (...)
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  16. Cook Wilson on judgement.Simon Wimmer - 2023 - British Journal for the History of Philosophy 32 (1):126-149.
    John Cook Wilson is increasingly recognised as an important predecessor of ordinary language philosophy. He emphasizes the authority of ordinary language in philosophical theorizing. At the same time, however, he circumscribes the limits of that authority and identifies cases in which it threatens to mislead us. My aim is to consider in detail one case where, according to Cook Wilson, ordinary language has misled philosophical theorizing. Judgement was one of the core notions of the logic, epistemology, and philosophy of mind (...)
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  17. Kierkegaard‘s Philosophical Fragments.Irfan Ajvazi - 2022 - Tesla Books 1 (Kierkegaard philosophy):10.
    Kierkegaard, like Plato, though using different methods and conclusions, sought to ground knowledge in the ineffability of subjectivity. For Plato, knowledge comes subjectively (internally); for Kierkegaard, it comes by God's grace through faith. Socrates becomes the facilitator for the slave in the /Meno/, as does God for the man of faith. Again, Kierkegaard is also concerned with passion. "...the paradox is the passion of thought, and the thinker without the paradox is like the lover without passion; a mediocre fellow" (p. (...)
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  18. Completeness: From Husserl to Carnap.Víctor Aranda - 2022 - Logica Universalis 16 (1):57-83.
    In his Doppelvortrag, Edmund Husserl introduced two concepts of “definiteness” which have been interpreted as a vindication of his role in the history of completeness. Some commentators defended that the meaning of these notions should be understood as categoricity, while other scholars believed that it is closer to syntactic completeness. A detailed study of the early twentieth-century axiomatics and Husserl’s Doppelvortrag shows, however, that many concepts of completeness were conflated as equivalent. Although “absolute definiteness” was principally an attempt to characterize (...)
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  19. A Reassessment of Cantorian Abstraction based on the $$\varepsilon $$ ε -operator.Nicola Bonatti - 2022 - Synthese 200 (5):1-26.
    Cantor’s abstractionist account of cardinal numbers has been criticized by Frege as a psychological theory of numbers which leads to contradiction. The aim of the paper is to meet these objections by proposing a reassessment of Cantor’s proposal based upon the set theoretic framework of Bourbaki—called BK—which is a First-order set theory extended with Hilbert’s \-operator. Moreover, it is argued that the BK system and the \-operator provide a faithful reconstruction of Cantor’s insights on cardinal numbers. I will introduce first (...)
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  20. A Pragmatic-Semiotic Defence of Bivalence.Marc Champagne - 2022 - History and Philosophy of Logic 43 (2):143-157.
    Since Peirce defined the first operators for three-valued logic, it is usually assumed that he rejected the principle of bivalence. However, I argue that, because bivalence is a principle, the strategy used by Peirce to defend logical principles can be used to defend bivalence. Construing logic as the study of substitutions of equivalent representations, Peirce showed that some patterns of substitution get realized in the very act of questioning them. While I recognize that we can devise non-classical notations, I argue (...)
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  21. Weiner on the Standard Interpretation of Frege: Joan Weiner: Taking Frege at his word. Oxford: Oxford University Press, 2021, 352 pp, $85.00 HB, ISBN: 9780198865476.Gregory Lavers - 2022 - Metascience 31 (1):89-92.
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  22. Frege, Peano and the construction of a logical calculus.Joan Bertran San Millán - 2021 - Logique Et Analyse 253:3-22.
    In contemporary historical studies Peano is usually linked to the logical tradition pioneered by Frege. In this paper I question this association. Specifically, I claim that Frege and Peano developed significantly different conceptions of a logical calculus. First, I clam that while Frege put the systematisation of the notion of inference at the forefront of his construction of an axiomatic logical system, Peano modelled his early logical systems as mathematical calculi and did not really attempt to justify reasoning. Second, I (...)
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  23. Lingua characterica and calculus ratiocinator: The Leibnizian background of the Frege-Schröder polemic.Joan Bertran-San Millán - 2021 - Review of Symbolic Logic 14 (2):411-446.
    After the publication of Begriffsschrift, a conflict erupted between Frege and Schröder regarding their respective logical systems which emerged around the Leibnizian notions of lingua characterica and calculus ratiocinator. Both of them claimed their own logic to be a better realisation of Leibniz’s ideal language and considered the rival system a mere calculus ratiocinator. Inspired by this polemic, van Heijenoort (1967b) distinguished two conceptions of logic—logic as language and logic as calculus—and presented them as opposing views, but did not explain (...)
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  24. On the Genealogy of Signification in Peirce's New List of Categories.Joseph Dillabough - 2021 - Cognitio: Journal of Philosophy 22 (1).
    Many scholars believe that "On a New List of Categories" is a metaphysical or transcendental deduction. This essay will argue that Peirce derives the categories by induction and validates their order by precision . Afterwards, the article will draw support from Peirce's youthful and mature writings to explain how the new way of listing the categories can serve as a genealogy of meaning : how different types of terms, propositions and arguments emerge in the reasoning process as different types of (...)
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  25. Hegel and the Problem of Beginning.Robb Dunphy - 2021 - Hegel Bulletin 42 (3):344-367.
    In this article I develop an interpretation of the opening passages of Hegel's essay ‘With what must the beginning of science be made?’ I suggest firstly that Hegel is engaging there with a distinctive problem, the overcoming of which he understands to be necessary in order to guarantee the scientific character of the derivation of the fundamental categories of thought which he undertakes in the Science of Logic. I refer to this as ‘the problem of beginning’. I proceed to clarify (...)
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  26. The Form of Truth: Hegel’s Philosophical Logic: by E. Ficara, Berlin, Boston, de Gruyter, 2021, 226+11 pp., €109.95, ISBN: 9783110703658.J. E. Maybee - 2021 - History and Philosophy of Logic 43 (2):201-206.
    In The Form of Truth: Hegel’s Philosophical Logic, Elena Ficara offers a reappraisal of G.W.F. Hegel’s logic within the history of logic and in relation to the logics of today. She brings together...
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  27. Символічна логіка: повернення до витоків. Стаття ІІІ. Похідні логістичні категорії.Yaroslav Kokhan - 2021 - Multiversum. Philosophical Almanac 2 (2):141-155.
    The paper is Part III of the large research, dedicated to both the revision of the system of basic logical categories and the generalization of modern predicate logic to functional logic. We determinate and contrapose modern Fregean logistics and proposed by the author ultra-Fregean logistics, next we describe values and arguments of functions, arguments of relations, relations themselves, sets (classes), and subsets (subclasses) as derivative categories (concepts) of ultrafregean logistics. Logistics is a part of metalogic, independent of semantics. Fregean logictics (...)
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  28. Why Make Things Simple When You Can Make Them Complicated? An Appreciation of Lewis Carroll’s Symbolic Logic.Amirouche Moktefi - 2021 - Logica Universalis 15 (3):359-379.
    Lewis Carroll published a system of logic in the symbolic tradition that developed in his time. Carroll’s readers may be puzzled by his system. On the one hand, it introduced innovations, such as his logic notation, his diagrams and his method of trees, that secure Carroll’s place on the path that shaped modern logic. On the other hand, Carroll maintained the existential import of universal affirmative Propositions, a feature that is rather characteristic of traditional logic. The object of this paper (...)
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  29. Begriffsschrift’s Logic.Calixto Badesa & Joan Bertran-San Millán - 2020 - Notre Dame Journal of Formal Logic 61 (3):409-440.
    In Begriffsschrift, Frege presented a formal system and used it to formulate logical definitions of arithmetical notions and to deduce some noteworthy theorems by means of logical axioms and inference rules. From a contemporary perspective, Begriffsschrift’s deductions are, in general, straightforward; it is assumed that all of them can be reproduced in a second-order formal system. Some deductions in this work present—according to this perspective—oddities that have led many scholars to consider it to be Frege’s inaccuracies which should be amended. (...)
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  30. Adaptive Fregean Set Theory.Diderik Batens - 2020 - Studia Logica 108 (5):903-939.
    This paper defines provably non-trivial theories that characterize Frege’s notion of a set, taking into account that the notion is inconsistent. By choosing an adaptive underlying logic, consistent sets behave classically notwithstanding the presence of inconsistent sets. Some of the theories have a full-blown presumably consistent set theory T as a subtheory, provided T is indeed consistent. An unexpected feature is the presence of classical negation within the language.
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  31. Frege's Intellectual Life As a Logicist Project. [REVIEW]Joan Bertran-San Millán - 2020 - Teorema: International Journal of Philosophy 39:127-138.
    I critically discuss Dale Jacquette’s Frege: A Philosophical Biography. First, I provide a short overview of Jacquette’s book. Second, I evaluate Jacquette’s interpretation of Frege’s three major works, Begriffsschrift, Grundlagen der Arithmetik and Grundgesetze der Arithmetik; and conclude that the author does not faithfully represent their content. Finally, I offer some technical and general remarks.
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  32. Where is ‘There is’ in ‘∃’?Richard Davies - 2020 - History and Philosophy of Logic 42 (1):44-59.
    The paper offers a survey of four key moments in which symbolisms for quantification were first introduced: §§11–2 of Frege’s Begriffsschrift ; Peirce’s ‘Algebra of Logic’ ; Peano’s ‘St...
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  33. ¿Es posible entender la determinación de un concepto como una relación de orden en la lógica dialéctica de Hegel?Eduardo Dib - 2020 - Zenodo Profile by Eduardo Dib.
    By the beginning of the 19th century Hegel's dialectic turned contradiction (conceived as unity of a concept with its determined negation) into distinguished inference. In the course of 20th century a family of systems known as "paraconsistent" formalized dialectical logic according to the contemporary paradigm of inference, oriented to truth-preserving, and not powered anymore solely by contradiction. In this way, nevertheless, Hegel's idea of logic as unfolding of concepts ordered by degree of "determination" reached at every step of the process, (...)
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  34. Schopenhauer Diagrams for Conceptual Analysis.Michał Dobrzański & Jens Lemanski - 2020 - In Ahti Veikko Pietarinen, P. Chapman, Leonie Bosveld-de Smet, Valeria Giardino, James Corter & Sven Linker (eds.), Diagrammatic Representation and Inference. Diagrams 2020. Lecture Notes in Computer Science, vol 12169. pp. 281-288.
    In his Berlin Lectures of the 1820s, the German philosopher Arthur Schopenhauer (1788–1860) used spatial logic diagrams for philosophy of language. These logic diagrams were applied to many areas of semantics and pragmatics, such as theories of concept formation, concept development, translation theory, clarification of conceptual disputes, etc. In this paper we first introduce the basic principles of Schopenhauer’s philosophy of language and his diagrammatic method. Since Schopenhauer often gives little information about how the individual diagrams are to be understood, (...)
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  35. Charles Sanders Peirce and Coimbra.Robert Martins Junqueira - 2020 - In Mário Santiago de Carvalho & Simone Guidi (eds.), Conimbricenses Encyclopedia. Instituto de Estudos Filosóficos.
    North-American philosophy was bolstered with the doctrines of the Jesuits. The penetration of the Coimbra Jesuits in the United States of America can be examined through the paradigmatic case of Charles Sanders Peirce. The extent to which Peirce was affected by the Coimbra Jesuits has not yet been researched. However, it is known that Peirce was acquainted with the Coimbra Jesuit Aristotelian Course.
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  36. Frege: A Philosophical Biography: Dale Jacquette, Cambridge: Cambridge University Press, 2019. xiv + 667 pp. Hardcover $45.00. ISBN: 978-0-521-86327-8. Ebook $36.00, ISBN 978-1-108-36504-8. [REVIEW]Wolfgang Kienzler - 2020 - History and Philosophy of Logic 41 (2):199-202.
    Volume 41, Issue 2, May 2020, Page 199-202.
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  37. Russell on Negative Judgement.Anssi Korhonen - 2020 - Topoi 39 (3):727-742.
    This paper concerns Bertrand Russell’s changing views on negative judgement. ‘Negative judgement’ is considered in the context of three theories of judgement that Russell put forth at different times: a dual relation theory ; a multiple relation theory ; a psychological theory of judgement. Four issues are singled out for a more detailed discussion: quality dualism versus quality monism, that is, the question whether judgement comes in two kinds, acceptance and rejection, or whether there is only one judgement-quality ; the (...)
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  38. Arthur Schopenhauer on Naturalness in Logic.Jens Lemanski & Hubert Martin Schüler - 2020 - In Language, Logic, and Mathematics in Schopenhauer. Basel, Schweiz: Birkhäuser. pp. 145-165.
    The question of naturalness in logic is widely discussed in today’s research literature. On the one hand, naturalness in the systems of natural deduction is intensively discussed on the basis of Aristotelian syllogistics. On the other hand, research on “natural logic” is concerned with the implicitly existing logical laws of natural language, and is therefore also interested in the naturalness of syllogistics. In both research areas, the question arises what naturalness exactly means, in logic as well as in language. We (...)
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  39. Certain Modern Ideas and Methods: “Geometric Reality” in the Mathematics of Charlotte Angas Scott.Jemma Lorenat - 2020 - Review of Symbolic Logic 13 (4):681-719.
    Charlotte Angas Scott (1858–1932) was an internationally renowned geometer, the first British woman to earn a doctorate in mathematics, and the chair of the Bryn Mawr mathematics department for forty years. There she helped shape the burgeoning mathematics community in the United States. Scott often motivated her research as providing a “geometric treatment” of results that had previously been derived algebraically. The adjective “geometric” likely entailed many things for Scott, from her careful illustration of diagrams to her choice of references (...)
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  40. On the Historical Transformations of the Square of Opposition as Semiotic Object.Ioannis M. Vandoulakis & Tatiana Yu Denisova - 2020 - Logica Universalis 14 (1):7-26.
    In this paper, we would show how the logical object “square of opposition”, viewed as semiotic object, has been historically transformed since its appearance in Aristotle’s texts until the works of Vasiliev. These transformations were accompanied each time with a new understanding and interpretation of Aristotle’s original text and, in the last case, with a transformation of its geometric configuration. The initial textual codification of the theory of opposition in Aristotle’s works is transformed into a diagrammatic one, based on a (...)
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  41. The Venn-MacColl Dispute in Nature.Lukas M. Verburgt - 2020 - History and Philosophy of Logic 41 (3):244-251.
    During 1881, the British logicians John Venn and Hugh MacColl engaged in a brief dispute in Nature about ‘symbolical logic’. The letters to the editor shed interesting light on the early reception of MacColl’s contributions to logic and his position in the logical community of the Victorian era. Drawing on the correspondence between Venn and William Stanley Jevons, this paper analyzes the background and context of these letters, adding to the recent interest in the social dimensions of the development of (...)
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  42. Indicating a Translation for ‘Bedeutung’.Karen Green - 2019 - History and Philosophy of Logic 41 (2):114-127.
    The translation of both ‘bedeuten’ and ‘Bedeutung’ in Frege's works remains sufficiently problematic that some contemporary authors prefer to leave these words untranslated. Here a case is made for returning to Russell's initial choice of ‘to indicate’ and ‘indication’ as better alternatives than the more usual ‘meaning’, ‘reference’, or ‘denotation’. It is argued that this choice has the philosophical payoff that Frege's controversial doctrines concerning the semantic values of sentences and predicative expressions are rendered far more comprehensible by it, and (...)
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  43. New Logic and the Seeds of Analytic Philosophy.Kevin C. Klement - 2019 - In John Shand (ed.), A Companion to Nineteenth Century Philosophy (Blackwell Companions to Philosophy). Hoboken: Wiley-Blackwell. pp. 454–479.
    Analytic philosophy has been perhaps the most successful philosophical movement of the twentieth century. While there is no one doctrine that defines it, one of the most salient features of analytic philosophy is its reliance on contemporary logic, the logic that had its origin in the works of George Boole and Gottlob Frege and others in the mid‐to‐late nineteenth century. Boolean algebra, the heart of Boole's contributions to logic, has also come to represent a cornerstone of modern computing. Frege had (...)
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  44. Review of Sandra Lapointe (Ed) "Logic from Kant to Russell: Laying the Foundations of Analytic Philosophy". [REVIEW]James Pearson - 2019 - Notre Dame Philosophical Reviews.
  45. New Essays on Frege: Between Science and Literature.Gisela Bengtsson, Simo Säätelä & Alois Pichler (eds.) - 2018 - Cham, Switzerland: Springer.
    This volume collects nine essays that investigate the work of Gottlob Frege. The contributors address Frege’s work in relation to literature and fiction (Dichtung), the humanities (Geisteswissenschaften), and science (Wissenschaft). Overall, the essays consider internal connections between different aspects of Frege’s work while acknowledging the importance of its philosophical context. There are also further common strands between the papers, such as the relation between Frege’s and Wittgenstein’s approaches to philosophical investigations, the relation between Frege and Kant, and the place of (...)
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  46. Philosophy’s Loss of Logic to Mathematics: An Inadequately Understood Take-Over.Woosuk Park - 2018 - Cham, Switzerland: Springer Verlag.
    This book offers a historical explanation of important philosophical problems in logic and mathematics, which have been neglected by the official history of modern logic. It offers extensive information on Gottlob Frege’s logic, discussing which aspects of his logic can be considered truly innovative in its revolution against the Aristotelian logic. It presents the work of Hilbert and his associates and followers with the aim of understanding the revolutionary change in the axiomatic method. Moreover, it offers useful tools to understand (...)
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  47. Laws of Thought and Laws of Logic after Kant.Lydia Patton - 2018 - In Sandra Lapointe (ed.), Logic from Kant to Russell. New York: Routledge. pp. 123-137.
    George Boole emerged from the British tradition of the “New Analytic”, known for the view that the laws of logic are laws of thought. Logicians in the New Analytic tradition were influenced by the work of Immanuel Kant, and by the German logicians Wilhelm Traugott Krug and Wilhelm Esser, among others. In his 1854 work An Investigation of the Laws of Thought on Which are Founded the Mathematical Theories of Logic and Probabilities, Boole argues that the laws of thought acquire (...)
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  48. El Comienzo de la Existencia en Hegel y Kierkegaard.Gabriel Leiva Rubio - 2018 - Eikasia. Revista de Filosofía 83:265-280.
    This text aims to contrast the metaphysical beginnings of the philosophies of Hegel and Kierkegaard. For this task, the notion of Being Pure of the Hegel of Logic will be used in relation with the concept of Irony that Kierkegaard expresses in his Concept of irony. The need for this "contrast of beginnings" seeks to clarify, from a “metaphysical awakening”, the evident theoretical courtship that has so far distanced by the dominant historiographical traditions of continental philosophy.
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  49. MANY 1 - A Transversal Imaginative Journey across the Realm of Mathematics.Jean-Yves Beziau - 2017 - Journal of the Indian Council of Philosophical Research 34 (2):259-287.
    We discuss the many aspects and qualities of the number one: the different ways it can be represented, the different things it may represent. We discuss the ordinal and cardinal natures of the one, its algebraic behaviour as a neutral element and finally its role as a truth-value in logic.
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  50. Frege on Thinking and Its Epistemic Significance. [REVIEW]Carlo Cellucci - 2017 - History and Philosophy of Logic 38 (1):92-95.
    Given the large literature on Frege, one might believe that it would be impossible to say anything essentially new on the subject. This book contradicts this belief, calling attention to Frege's in...
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