Our website is made possible by displaying online advertisements to our visitors.
Please consider supporting us by disabling your ad blocker.

Download links will be available after you disable the ad blocker and reload the page.

Using set theory in the first part of his book, and proof theory in the second, Gaisi Takeuti gives us two examples of how mathematical logic can be used to obtain results previously derived in less elegant fashion by other mathematical techniques, especially analysis. In Part One, he applies Scott- Solovay's Boolean-valued models of set theory to analysis by means of complete Boolean algebras of projections. In Part Two, he develops... more...


This comprehensive monograph is a cornerstone in the area of mathematical logic and related fields. Focusing on Gentzen-type proof theory, the book presents a detailed overview of creative works by the author and other 20th-century logicians that includes applications of proof theory to logic as well as other areas of mathematics. 1975 edition.


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... more...