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  1. (2 other versions)Frege and Semantics.Richard Heck & Robert May - 2005 - In Ernie Lepore & Barry C. Smith (eds.), The Oxford Handbook of Philosophy of Language. Oxford, England: Oxford University Press. pp. 3-39.
    An investigation of Frege’s various contributions to the study of language, focusing on three of his most famous doctrines: that concepts are unsaturated, that sentences refer to truth-values, and that sense must be distinguished from reference.
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  • Frege, Dedekind, and the Origins of Logicism.Erich H. Reck - 2013 - History and Philosophy of Logic 34 (3):242-265.
    This paper has a two-fold objective: to provide a balanced, multi-faceted account of the origins of logicism; to rehabilitate Richard Dedekind as a main logicist. Logicism should be seen as more deeply rooted in the development of modern mathematics than typically assumed, and this becomes evident by reconsidering Dedekind's writings in relation to Frege's. Especially in its Dedekindian and Fregean versions, logicism constitutes the culmination of the rise of ?pure mathematics? in the nineteenth century; and this rise brought with it (...)
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  • Frege's Principle.Richard Heck - 1995 - In Jaakko Hintikka (ed.), From Dedekind to Gödel: Essays on the Development of the Foundations of Mathematics. Kluwer Academic Publishers.
    This paper explores the relationship between Hume's Prinicple and Basic Law V, investigating the question whether we really do need to suppose that, already in Die Grundlagen, Frege intended that HP should be justified by its derivation from Law V.
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  • Formal Arithmetic Before Grundgesetze.Richard Kimberly Heck - 2019 - In Philip A. Ebert & Marcus Rossberg (eds.), Essays on Frege's Basic Laws of Arithmetic. Oxford: Oxford University Press. pp. 497-537.
    A speculative investigation of how Frege's logical views change between Begriffsschrift and Grundgesetze and how this might have affected the formal development of logicism.
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  • The Basic Laws of Cardinal Number.Richard Kimberly Heck - 2019 - In Philip A. Ebert & Marcus Rossberg (eds.), Essays on Frege's Basic Laws of Arithmetic. Oxford: Oxford University Press. pp. 1-30.
    An overview of what Frege accomplishes in Part II of Grundgesetze, which contains proofs of axioms for arithmetic and several additional results concerning the finite, the infinite, and the relationship between these notions. One might think of this paper as an extremely compressed form of Part II of my book Reading Frege's Grundgesetze.
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  • Truth in Frege.Richard Heck & Robert May - 2018 - In Michael Glanzberg (ed.), The Oxford Handbook of Truth. Oxford, United Kingdom: Oxford University Press. pp. 193-213.
    A general survey of Frege's views on truth, the paper explores the problems in response to which Frege's distinctive view that sentences refer to truth-values develops. It also discusses his view that truth-values are objects and the so-called regress argument for the indefinability of truth. Finally, we consider, very briefly, the question whether Frege was a deflationist.
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  • The Composition of Thoughts.Richard Heck & Robert May - 2010 - Noûs 45 (1):126-166.
    Are Fregean thoughts compositionally complex and composed of senses? We argue that, in Begriffsschrift, Frege took 'conceptual contents' to be unstructured, but that he quickly moved away from this position, holding just two years later that conceptual contents divide of themselves into 'function' and 'argument'. This second position is shown to be unstable, however, by Frege's famous substitution puzzle. For Frege, the crucial question the puzzle raises is why "The Morning Star is a planet" and "The Evening Star is a (...)
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  • Frege’s View of the Context Principle After 1890.Krystian Bogucki - 2022 - Grazer Philosophische Studien 99 (1):1-29.
    The aim of this article is to examine Frege’s view of the context principle in his mature philosophical doctrine. Here, the author argues that the context principle is embodied in the contextual explanation of value-ranges presented in Basic Laws of Arithmetic. The contextual explanation of value-ranges plays essentially the same role as the context principle in The Foundations of Arithmetic. It is supposed to show how a reference to natural numbers is possible. Moreover, the author argues against the view that (...)
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  • Frege's ‘On the Concept of Number’ – an unnoticed publication.David Sullivan - 2016 - British Journal for the History of Philosophy 24 (4):764-768.
    ABSTRACTA short piece by Frege, heretofore overlooked, containing a précis of his views on the concept of number, is presented, after some very brief questions about Frege's possible involvement in the wider intellectual milieu.
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  • Frege, Sentence-questions, Questions, and Thoughts.Nathan William Davies - 2024 - Grazer Philosophische Studien 101 (2):160-188.
    Dummett, Hanks, Künne, and Bobzien have all stated or implied that when Frege wrote ‘Über Sinn und Bedeutung’, Frege believed that the sense of a sentence-question was not a thought. I present the passage of ‘Über Sinn und Bedeutung’ which is relevant to the evaluation of that proposition. I then present and evaluate an argument which I assume to be the best argument based on that passage for that proposition. I argue that the argument is likely to be unsound. I (...)
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  • On Dedekind's Logicism.José Ferreirós - unknown
    The place of Richard Dedekind in the history of logicism is a controversial matter. The conception of logic incorporated in his work is certainly old-fashioned, in spite of innovative elements that would play an important role in late 19th and early 20th century discussions. Yet his understanding of logic and logicism remains of interest for the light it throws upon the development of modern logic in general, and logicist views of the foundations of mathematics in particular. The paper clarifies Dedekind's (...)
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  • Frege on Sense Identity, Basic Law V, and Analysis.Philip A. Ebert - 2016 - Philosophia Mathematica 24 (1):9-29.
    The paper challenges a widely held interpretation of Frege's conception of logic on which the constituent clauses of basic law V have the same sense. I argue against this interpretation by first carefully looking at the development of Frege's thoughts in Grundlagen with respect to the status of abstraction principles. In doing so, I put forth a new interpretation of Grundlagen §64 and Frege's idea of ‘recarving of content’. I then argue that there is strong evidence in Grundgesetze that Frege (...)
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  • An Essay on Compositionality of Thoughts in Frege’s Philosophy.Krystian Bogucki - 2022 - Philosophical Papers 51 (1):1-43.
    In the paper, I propose a novel approach to Frege’s view on the principle of compositionality, its relation to the propositional holism and the formation of concepts. The main idea is to distinguish three stages of constructing a logically perfect language. At the first stage, only a sentence as a whole expresses a Thought. It is impossible to assign meaning to less complex units. This is the stage of an ordinary language. The second phase concerns the proper level of construction (...)
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  • Following Bobzien: Some Notes on Frege's Development and Engagement with his Environment.Jamie Tappenden - 2024 - History and Philosophy of Logic 45 (4):414-427.
    Loosely connected reflections on some issues raised by Susanne Bobzien concerning the extent to which Frege interacted with scholars in his environment, and what he may have learned from them. I first note a pattern in Frege's pre-Grundlagen writings: his references to other logicians tend to be in response to criticism. I then discuss the period 1885–1891, suggesting that Frege may have been more engaged with his teaching and his colleagues than is sometimes believed, in response to the ‘unsatisfied need (...)
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