Chapter

Reservations about the Underlying Logic

Jonathan L. Kvanvig

in The Knowability Paradox

Published in print February 2006 | ISBN: 9780199282593
Published online May 2006 | e-ISBN: 9780191603587 | DOI: http://dx.doi.org/10.1093/0199282595.003.0006
 Reservations about the Underlying Logic

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This chapter explores the challenge to the proof of Fitch’s results presented by intuitionism, and the prospects of this viewpoint in avoiding the paradox that results. It argues that adopting intuitionistic principles of reasoning will not help avoid the paradox. It merely changes what is paradoxical from a lost distinction between known truth and knowable truth, to a lost distinction between unknown truth and unknowable truth. Since paradox remains in both cases, the solution to the paradox must be found elsewhere.

Keywords: paradox; intuitionism; logic; truth; holistic coherence; John Pollock

Chapter.  13437 words. 

Subjects: Philosophy of Mathematics and Logic

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