Some uses of logic in rigorous philosophy

Guillermo Rosado Haddock

pp. 385-398

in: Essays on non-empiricist rigorous philosophy, Axiomathes 20, 2010.

Abstract

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.