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  1. Black, White and Gray: Quine on Convention.Yemima Ben-Menahem - 2005 - Synthese 146 (3):245-282.
    This paper examines Quine’s web of belief metaphor and its role in his various responses to conventionalism. Distinguishing between two versions of conventionalism, one based on the under-determination of theory, the other associated with a linguistic account of necessary truth, I show how Quine plays the two versions of conventionalism against each other. Some of Quine’s reservations about conventionalism are traced back to his 1934 lectures on Carnap. Although these lectures appear to endorse Carnap’s conventionalism, in exposing Carnap’s failure to (...)
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  • Shadows of Syntax: Revitalizing Logical and Mathematical Conventionalism.Jared Warren - 2020 - New York, USA: Oxford University Press.
    What is the source of logical and mathematical truth? This book revitalizes conventionalism as an answer to this question. Conventionalism takes logical and mathematical truth to have their source in linguistic conventions. This was an extremely popular view in the early 20th century, but it was never worked out in detail and is now almost universally rejected in mainstream philosophical circles. Shadows of Syntax is the first book-length treatment and defense of a combined conventionalist theory of logic and mathematics. It (...)
  • Alexandre Koyré im “Mekka der Mathematik”.Paola Zambelli - 1999 - NTM Zeitschrift für Geschichte der Wissenschaften, Technik und Medizin 7 (1):208-230.
    In 1909 A. Koyré (1892–1964) came to Göttingen as an exile and there became a student of Edmund Husserl and other philosophers (A. Reinach, M. Scheler): already before leaving his country Russia Koyré read Husserl'sLogical Investigations, a text which interested greatly Russian philosophers and was translated into Russian in the same year. As many other contemporary philosophers, in Göttingen they were discussing on the fundaments of mathematic, Cantor's set theory and Russell's antinomies. On this problems Koyré wrote a long paper (...)
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  • Conventionalism, Consistency, and Consistency Sentences.Jared Warren - 2015 - Synthese 192 (5):1351-1371.
    Conventionalism about mathematics claims that mathematical truths are true by linguistic convention. This is often spelled out by appealing to facts concerning rules of inference and formal systems, but this leads to a problem: since the incompleteness theorems we’ve known that syntactic notions can be expressed using arithmetical sentences. There is serious prima facie tension here: how can mathematics be a matter of convention and syntax a matter of fact given the arithmetization of syntax? This challenge has been pressed in (...)
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