School of Historical and Philosophical Studies - Research Publications

Permanent URI for this collection

Now showing 1 - 10 of 41

A Paraconsistent Model of Vagueness

Weber, Z (OXFORD UNIV PRESS, 2010-10-01)
Bridging the Modal Gap

GOSWICK, D. ( 2010)
SECRECY IN CONSEQUENTIALISM: A DEFENCE OF ESOTERIC MORALITY

de Lazari-Radek, K ; Singer, P (WILEY-BLACKWELL PUBLISHING, INC, 2010-03-01)
Extensionality and Restriction in Naive Set Theory

Weber, Z (Springer Science and Business Media LLC, 2010-02)
TRANSFINITE NUMBERS IN PARACONSISTENT SET THEORY

WEBER, Z (Cambridge University Press (CUP), 2010-03)

This paper begins an axiomatic development of naive set theory—the consequences of a full comprehension principle—in a paraconsistent logic. Results divide into two sorts. There is classical recapture, where the main theorems of ordinal and Peano arithmetic are proved, showing that naive set theory can provide a foundation for standard mathematics. Then there are major extensions, including proofs of the famous paradoxes and the axiom of choice (in the form of the well-ordering principle). At the end I indicate how later developments of cardinal numbers will lead to Cantor’s theorem, the existence of large cardinals, and a counterexample to the continuum hypothesis.
Kierkegaardian vision and the concrete other

Stokes, P (SPRINGER, 2006-12-01)
Ethics and intuitions

SINGER, P. ( 2005)
The wisdom of the pack

Levy, N (Informa UK Limited, 2006-03)
The limits of sentimentalism

Schroeter, F (UNIV CHICAGO PRESS, 2006-01-01)
Hopes Fade For Saving Truth

Priest, G (CAMBRIDGE UNIV PRESS, 2010-01-01)