Mechanism, Mentalism and Metamathematics

An Essay on Finitism
1. Auflage. Softcover version of original hardcover Auflage 1980
ISBN: 978-90-481-8357-9
Verlag: Springer Netherlands

Buch, Englisch, Band 137, 285 Seiten, Previously published in hardcover, Format (B × H): 152 mm x 229 mm, Gewicht: 438 g

Reihe: Synthese Library

This book grew out of a graduate student paper [261] in which I set down some criticisms of J. R. Lucas' attempt to refute mechanism by means of G6del's theorem. I had made several such abortive attempts myself and had become familiar with their pitfalls, and especially with the double­ edged nature of incompleteness arguments. My original idea was to model the refutation of mechanism on the almost universally accepted G6delian refutation of Hilbert's formalism, but I kept getting stuck on questions of mathematical philosophy which I found myself having to beg. A thorough study of the foundational works of Hilbert and Bernays finally convinced me that I had all too naively and uncritically bought this refutation of formalism. I did indeed discover points of surprisingly close contact between formalism and mechanism, but also that it was possible to under­ mine certain strong arguments against these positions precisely by invok­ ing G6del's and related work. I also began to realize that the Church­ Turing thesis itself is the principal bastion protecting mechanism, and that G6del's work was perhaps the best thing that ever happened to both mechanism and formalism. I pushed these lines of argument in my dis­ sertation with the patient help of my readers, Raymond Nelson and Howard Stein. I would especially like to thank the latter for many valuable criticisms of my dissertation as well as some helpful suggestions for reor­ ganizing it in the direction of the present book.

Zielgruppe

Research

Autoren/Hrsg.

Webb, J.

Fachgebiete

• Geisteswissenschaften Philosophie Wissenschaftstheorie, Wissenschaftsphilosophie
• Interdisziplinäres Wissenschaften Wissenschaften: Allgemeines Wissenschaften: Theorie, Epistemologie, Methodik
• Geisteswissenschaften Philosophie Moderne Philosophische Disziplinen Philosophie des Geistes, Neurophilosophie

Inhaltsverzeichnis

I / Mechanism: Some Historical Notes.- II / Mind, Number, and the Infinite.- III / the Mental, the Finite, and the Formal.- IV / Effectiveness Mechanized.- Concluding Summary.- Index of Names.- Index of Subjects.