
Feferman on Foundations
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With regard to methodological issues, Feferman supported concrete projects. On the one hand, these projects calibrate the proof theoretic strength of subsystems of analysis and set theory and provide ways of overcoming the limitations imposed by Gödel's incompleteness theorems through appropriate conceptual expansions. On the other, they seek to identify novel axiomatic foundations for mathematical practice, truth theories, and category theory.
In his philosophical research, Feferman explored questions such as "What is logic?" and proposed particular positions regarding the foundations of mathematics including, for example, his "conceptual structuralism." The contributing authors of the volume examine all of the above issues. Their papers are accompanied by an autobiography presented by Feferman that reflects on the evolution and intellectual contexts of his work. The contributing authors critically examine Feferman's work and, in part, actively expand on his concrete mathematical projects. The volume illuminates Feferman's distinctive work and, in the process, provides an enlightening perspective on the foundations of mathematics and logic.
Reviews / Votes
Koellner's contribution stands in contrast to Parsons's paper which provides an excellent exposition of Feferman's philosophy from a neutral perspective. ... This volume is an extraordinary tribute to the person Solomon Feferman and his work. It contains material which should inspire future generations to pursue his ideas, be it on the technical side or on the philosophical side." (Reinhard Kahle, Philosophia Mathematica, Vol. 28 (3), 2020)More details
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