Axiomathes 20 (2-3):385-398 (2010)

This paper is concerned with the use of logic to solve philosophical problems. Such use of logic goes counter to the prevailing empiricist tradition in analytic circles. Specifically, model-theoretic tools are applied to three fundamental issues in the philosophy of logic and mathematics, namely, to the issue of the existence of mathematical entities, to the dispute between first- and second-order logic and to the definition of analyticity.
Keywords Platonism  Nominalism  Conventionalism  Robinson’s model completeness test  Lindström’s First Characterization Theorem  Husserl  Isomorphic structures  Analyticity
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DOI 10.1007/s10516-010-9108-x
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References found in this work BETA

Two Dogmas of Empiricism.W. Quine - 1951 - [Longmans, Green].
Two Dogmas of Empiricism.Willard V. O. Quine - 1951 - Philosophical Review 60 (1):20–43.
Philosophy of Logic.W. V. O. Quine - 1970 - Harvard University Press.
Realism, Mathematics and Modality.Hartry Field - 1988 - Philosophical Topics 16 (1):57-107.

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