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Mathematics without Numbers
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Philosophy of mathematics : structure and ontology
Do numbers, sets, and so forth, exist? What do mathematical statements mean? Are they literally true or false, or do they lack truth values altogether? Addressing questions that have attracted livelyExpand
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Vagueness in Context
1. The nature of vagueness: Humpty Dumpty gets his due 2. Interlude: the place and role of model theory 3. A start on model theory 4. Connectives, quantifiers, logic 5. Refinements and extensions I:Expand
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Varieties of Logic
Acknowledgements 1. Relativism, pluralism, tolerance 2. Varieties of pluralism and relativism for logic 3. Structure: an eclectic perspective 4. We mean what we say: but what do we mean? 5. MeaningExpand
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Proof and Truth: Through Thick and Thin
L'A. mesure la compatibilite de la these deflationniste et de l'utilisation logique de la verite comme signe d'une force demonstrative. Examinant le statut du predicat de verite chez Godel et Tarski,Expand
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Foundations Without Foundationalism
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The Indispensability of Mathematics
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Categories, Structures, and the Frege-Hilbert Controversy: The Status of Meta-mathematics
There is a parallel between the debate between Gottlob Frege and David Hilbert at the turn of the twentieth century and at least some aspects of the current controversy over whether category theoryExpand
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Epistemic and Intuitionistic Arithmetic
Publisher Summary This chapter illustrates the development of a language and deductive system of epistemic logic for arithmetic. In addition to the usual connectives and quantifiers, the languageExpand
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