Critical Views of Logic

This book examines positions that challenge the Fregean logic-first view. It will be a resource for academics, researchers, and advanced students of philosophy, linguistics, mathematics, and computer science.

Autorentext

Mirja Hartimo (University of Helsinki) works on phenomenological perspective to philosophy of mathematics and logic. Her recent publications include Husserl and Mathematics (2021).

Frode Kjosavik (Norwegian University of Life Sciences) works on Kant, Husserl, metaphysics, philosophy of mathematics, and philosophy of science. He is the editor of Metametaphysics and the Sciences: Historical and Philosophical Perspectives (with Camilla Serck-Hanssen, 2020).

Øystein Linnebo (University of Oslo) works on metaphysics and the philosophy of logic and mathematics. His recent publications include Thin Objects: An Abstractionist Account (2018) and The Many and the One: A Philosophical Study of Plural Logic (with Salvatore Florio, 2021).

Inhalt

Introduction to "Critical Views of Logic" 1. Infinity and a Critical View of Logic 2. Dummett's objection to the ontological route to intuitionistic logic: a rejoinder 3. The entanglement of logic and set theory, constructively 4. Critical Plural Logic 5. Kant on the possibilities of mathematics and the scope and limits of logic 6. The infinite, the indefinite and the critical turn: Kant via Kripke models 7. Husserl on Kant and the critical view of logic 8. Logical pluralism and normativity 9. Disagreement about logic