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In From Kant to Husserl, Charles Parsons examines a wide range of historical opinion on philosophical questions, from mathematics to phenomenology. Amplifying his early ideas on Kant's philosophy of arithmetic, Parsons uses Kant's lectures on metaphysics to explore how his arithmetical concepts relate to the categories. He then turns to early reactions by two immediate successors of Kant, Johann Schultz and Bernard Bolzano, to shed light on disputed questions regarding interpretation of Kant's philosophy of mathematics. Interested, as well, in what Kant meant by "pure natural...

In this illuminating collection, Charles Parsons surveys the contributions of philosophers and mathematicians who shaped the philosophy of mathematics over the course of the past century.

Parsons begins with a discussion of the Kantian legacy in the work of L. E. J. Brouwer, David Hilbert, and Paul Bernays, shedding light on how Bernays revised his philosophy after his collaboration with Hilbert. He considers Hermann Weyl's idea of a "vicious circle" in the foundations of mathematics, a radical claim that elicited many challenges. Turning to Kurt Godel, whose incompleteness theorem...

First published in 1990, this book consists of a detailed exposition of results of the theory of "interpretation" developed by G. Kreisel -- the relative impenetrability of which gives the elucidation contained here great value for anyone seeking to understand his work. It contains more complex versions of the information obtained by Kreisel for number theory and clustering around the no-counter-example interpretation, for number-theorectic forumulae provide in ramified analysis. It also proves the omega-consistency of ramified analysis. The author also presents proofs of Schutte's...

Urban community colleges--and the cities they serve--are undergoing rapid, multidimensional changes in response to new conditions and demands. The challenge for all community colleges, regardless of size or location, is to reinvent themselves so they can better meet the particular needs of their respective communities. This national higher-education mandate is vital to democracy itself, especially given the multiracial nature of metropolitan areas, where challenges and opportunities have always been most pronounced.

This volume looks at how urban colleges are vigorously exploring...