Francesco Paoli

Logic and Formal Tools in the Philosophy of Logic

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Abstract

The article develops some reflections on the relationship between logic and philosophy. We argue that, although logic and the philosophy of logic are distinct fields of research, with their own respective methods and tools, the purported distinction between mathematical and philosophical logic is conceptually ill-founded. On the other hand, we introduce and defend a dichotomy between «hard» and «soft» philosophy of logic. Finally, we single out the abstract study of consequence relations recently pursued by Wim Blok et al. as a domain where concepts of algebraic logic can be fruitfully applied to foundational issues in the philosophy of logic.

Keywords

  • Mathematical and Philosophical Logic
  • Hard and Soft Philosophy of Logic
  • Algebraic Logic

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