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  1. Some Uses of Logic in Rigorous Philosophy.Guillermo E. Rosado Haddock - 2010 - Axiomathes 20 (2-3):385-398.
    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.
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  • Mathematical Problem-Solving and Ontology: An Exercise. [REVIEW]Richard Tieszen - 2010 - Axiomathes 20 (2-3):295-312.
    In this paper the reader is asked to engage in some simple problem-solving in classical pure number theory and to then describe, on the basis of a series of questions, what it is like to solve the problems. In the recent philosophy of mind this “what is it like” question is one way of signaling a turn to phenomenological description. The description of what it is like to solve the problems in this paper, it is argued, leads to several morals (...)
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  • On Essentialism and Existentialism in the Husserlian Platonism: A Reflexion Based on Modal Logic.Carlos Lobo, Cleverson Leite Bastos & Carlos Eduardo de Carvalho Vargas - 2015 - Axiomathes 25 (3):335-343.
    Departing from modal logic, Jean-Yves Girard, as a logician interested in philosophy, presented a distinction between essentialism and existentialism in logic. Carlos Lobo reflected about the Girard’s concept to reinterpret the Husserlian Platonism in regard of the status of logical modalities. We start rescuing the notion of modal logic in the Edmund Husserl’s works, especially Formal and Transcendental Logic and First Philosophy. Developing this reflexion, we propose a new contribution to this discussion, reinterpreting the platonic influence in the Husserlian notions (...)
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