Mechanism, Mentalism and Metamathematics [electronic resource] : An Essay on Finitism / by J. Webb.

Erişim Adresi
ISBN
9789401576536
Dil Kodu
İngilizce
Yer Numarası
DK/16164
Yazar
Basım Bildirimi
1st ed. 1980.
Yayın Bilgisi
Dordrecht : Springer Netherlands : Imprint: Springer, 1980.
Fiziksel Niteleme
XIII, 285 p. online resource.
Dizi
Synthese Library, Studies in Epistemology, Logic, Methodology, and Philosophy of Science, 2542-8292 ; 137
İçindekiler Notu
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.
Özet, vb.
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.
Konu
Philosophy of mind.
Science __ Philosophy.
Philosophy of Mind.
Philosophy of Science.