Against the Current

The publications in this series deal with current topics in the fields of philosophy, natural science, cognitive science, and mathematics. They are particularly interested in investigating the multiple ways in which the nature of these fields has changed over the centuries, leaving the conceptual framework inaugurated by Galilei and Descartes.

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The present collection of seventeen papers, most of them already published in international philosophical journals, deals both with issues in the philosophy of logic, the philosophy of mathematics, the philosophy of language and epistemology. The first part contains critical assessments and somewhat deviant renderings of the work of two seminal philosophers, Frege and Husserl, as well as of the young Carnap and Kripke. The second part contains analyses of central issues in the philosophy of logic, the philosophy of mathematics and semantics, including arguments on behalf of Platonism in the philosophy of mathematics, a defense of second-order logic, a new definition of analyticity, a sketch of a semantics for mathematical statements and a critique of Kripke’s possible world semantics for modal logic.