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Critical Views of Logic

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Classical Logic
Classical Quantification
critical perspectives on logic and mathematics
Das Kontinuum
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Husserl's View
Husserl’s View
Indefinite Distinction
Infinite Divisibility
Infinite Domains
Intuitionistic Logic
Kant
Kantian metaphysics
Kripke Models
Large Cardinal Axioms
Logic
logical pluralism
Mathematical Practice
Mathematics
Modus Ponens
Natural Deduction Rules
Nonclassical Logician
normativity in logic
Ontological Intuitionist
philosophy of mathematics
Plural Logic
Pure General Logic
Quine
Reductio Ad Absurdum Proofs
Set Theoretic Axiom
Set Theoretic Notions
Set Theoretic Principles
set theory foundations
Subjunctive Conditional
Topic-neutrality
Transcendental Logic
transcendental phenomenology
Vice Versa

Product details

  • ISBN 9781032573519
  • Weight: 453g
  • Dimensions: 156 x 234mm
  • Publication Date: 31 Oct 2023
  • Publisher: Taylor & Francis Ltd
  • Publication City/Country: GB
  • Product Form: Hardback
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Description

This book examines positions that challenge the Fregean logic-first view. It raises critical

questions about logic by examining various ways in which logic may be entangled with mathematics and metaphysics.

Is logic topic-neutral and general? Can we take the application of logic for granted? This book suggests that we should not be dogmatic about logic but ask similar critical questions about logic as those Kant raised about metaphysics and mathematics. It challenges the Fregean logic-first view according to which logic is fundamental and hence independent of any extra-logical considerations. Whereas Quine assimilated logic and mathematics to the theoretical parts of empirical science, the present volume explores views that stop short of his thoroughgoing holism but instead take logic to be answerable to or entangled with some particular disciplines. The contributions provide views that assign primacy to mathematical reasons, Kantian metaphysical grounds, Husserlian transcendental phenomenological reflection, or normative considerations about how terms ought to be defined in various fields of empirical science or mathematics. Space is thereby carved out between a Fregean position on the one hand and Quinean holism on the other.

Critical Views of Logic will be a key resource for academics, researchers, and advanced students of philosophy, linguistics, mathematics, and computer science, as well as those engaged in various fields of empirical science. The chapters in this book, except for chapter 4, were originally published in the journal Inquiry.
About

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).