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Frege on knowing the third realm

Mind 101 (404):633-650 (1992)

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  1. Carving Content at the Joints.Stephen Yablo - 2008 - Canadian Journal of Philosophy 38 (S1):145-177.
    Here is Frege in Foundations of Arithmetic, § 64:The judgment 'Line a is parallel to line b', in symbols: ab, can be taken as an identity. If we do this, we obtain the concept of direction, and say: 'The direction of line a is equal to the direction of line b.' Thus we replace the symbol by the more generic symbol =, through removing what is specific in the content of the former and dividing it between a and b. We (...)
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  • Frege on the Normativity and Constitutivity of Logic for Thought II.Daniele Mezzadri - 2015 - Philosophy Compass 10 (9):592-600.
    This two-part paper reviews a scholarly debate on an alleged tension in Frege's philosophy of logic. In Section 1 of Part I, I discuss Frege's view that logic is concerned with establishing norms for correct thinking and is therefore a normative science. In Section 2, I explore a different understanding of the role of logic that Frege seems to advance: logic is constitutive of the very possibility of thought, because it sets forth necessary conditions for thought. Hence, the tension the (...)
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  • Frege on the Normativity and Constitutivity of Logic for Thought I.Daniele Mezzadri - 2015 - Philosophy Compass 10 (9):583-591.
    This two-part paper reviews a scholarly debate on an alleged tension in Frege ’s philosophy of logic. In Section 1 of Part I, I discuss Frege ’s view that logic is concerned with establishing norms for correct thinking and is therefore a normative science. In Section 2, I explore a different understanding of the role of logic that Frege seems to advance: logic is constitutive of the very possibility of thought, because it sets forth necessary conditions for thought. Hence, the (...)
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  • Incomplete Understanding of Complex Numbers Girolamo Cardano: A Case Study in the Acquisition of Mathematical Concepts.Denis Buehler - 2014 - Synthese 191 (17):4231-4252.
    In this paper, I present the case of the discovery of complex numbers by Girolamo Cardano. Cardano acquires the concepts of (specific) complex numbers, complex addition, and complex multiplication. His understanding of these concepts is incomplete. I show that his acquisition of these concepts cannot be explained on the basis of Christopher Peacocke’s Conceptual Role Theory of concept possession. I argue that Strong Conceptual Role Theories that are committed to specifying a set of transitions that is both necessary and sufficient (...)
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  • Realismbei Frege: Reply to Burge.Joan Weiner - 1995 - Synthese 102 (3):363 - 382.
    Frege is celebrated as an arch-Platonist and arch-realist. He is renowned for claiming that truths of arithmetic are eternally true and independent of us, our judgments and our thoughts; that there is a third realm containing nonphysical objects that are not ideas. Until recently, there were few attempts to explicate these renowned claims, for most philosophers thought the clarity of Frege's prose rendered explication unnecessary. But the last ten years have seen the publication of several revisionist interpretations of Frege's writings (...)
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  • Frege and Carnap on the Normativity of Logic.Florian Steinberger - 2017 - Synthese 194 (1):143-162.
    In this paper I examine the question of logic’s normative status in the light of Carnap’s Principle of Tolerance. I begin by contrasting Carnap’s conception of the normativity of logic with that of his teacher, Frege. I identify two core features of Frege’s position: first, the normative force of the logical laws is grounded in their descriptive adequacy; second, norms implied by logic are constitutive for thinking as such. While Carnap breaks with Frege’s absolutism about logic and hence with the (...)
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  • Logical Realism and the Metaphysics of Logic.Michaela Markham McSweeney - 2019 - Philosophy Compass 14 (1):e12563.
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  • “Always Mixed Together”: Notation, Language, and the Pedagogy of Frege's Begriffsschrift.David E. Dunning - forthcoming - Modern Intellectual History:1-33.
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  • Sameness of Fregean Sense.Susanna Schellenberg - 2012 - Synthese 189 (1):163-175.
    This paper develops a criterion for sameness of Fregean senses. I consider three criteria: logical equivalence, intensional isomorphism, and epistemic equipollence. I reject the first two and argue for a version of the third.
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