Memoirs Of A Proof Theorist: Godel & Other Logicians Gödel and Other Logicians

This two-volume work bridges the gap between introductory expositions of logic (or set theory) and the research literature. It can be used as a text in an advanced undergraduate or beginning graduate course in mathematics, computer science, or philosophy. The volumes are written in a user-friendly lecture style that makes them equally effective for self-study or class use. Volume I includes formal proof techniques, applications of compactness (including nonstandard analysis), computability and its relation to the completeness phenonmenon, and the first presentation of a complete proof of Godel's 2nd incompleteness since Hilbert and Bernay's Grundlagen On Godel; Work of Paul Bernays and Kurt Godel; Hilbert and Godel; Short Biographies of Logicians; Set Theory and Related Topics; From Hilbert to Godel; Axioms of Arithmetic and Consistency -- The Second Problem of Hilbert; A Report from Godel '96; Having Read " Godel Remembered"; A Tribute to the Memory of Professor Godel'; Appendices: On Godel's Continuum Hypothesis; Birth of Second Order Proof Theory by the Fundamental Conjecture on GLC This volume is a translation of the book Gödel, written in Japanese by Gaisi Takeuti, a distinguished proof theorist. The core of the book comprises a memoir of K. Gödel, Takeuti's personal recollections, and his interpretation of Gödel's attitudes towards mathematical logic. It also contains Takeuti's recollection of association with some other famous logicians. Everything in the book is original, as the author adheres to his own experiences and interpretations. There is also an article on Hilbert's second problem as well as on the author's fundamental conjecture about second order logic This volume is a translation of the book "Godel", written in Japanese by Gaisi Takeuti, a distinguished proof theorist. The core of the text is a memoir of K. Godel, Takeuti's personal recollections, and his interpretation of Godel's comprises attitudes towards mathematical logic. It also contains Takeuti's recollection of association with some other famous logicians. The author adheres to his own experiences and interpretations. There is also an article on Hilbert's second problem as well as on the author's fundamental conjecture about second order logic [gaisi Takeuti ; Translated By] Mariko Yasugi, Nicholas Passell. Originally Published As: Gēderu : Kurt Gödel. Tokyo : Nippon Hyoron Sha, 1986. Translated From Japanese. Includes Bibliographical References.