Hostname: page-component-cd9895bd7-dzt6s Total loading time: 0 Render date: 2024-12-21T18:34:13.209Z Has data issue: false hasContentIssue false

Ross Brady. Universal logic. CSLI Lecture Notes, vol. 109. CSLI Publications, Stanford, 2006, xii + 346 pp.

Published online by Cambridge University Press:  15 January 2014

Greg Restall*
Affiliation:
School of Philosophy, University of Melbourne, Australia. [email protected].

Abstract

Image of the first page of this content. For PDF version, please use the ‘Save PDF’ preceeding this image.'
Type
Reviews
Copyright
Copyright © Association for Symbolic Logic 2007

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

1 For (GCA), we define the status of a ∈ {xy: ϕ(x, y)} at α in terms of ϕ(a,{xy: ϕ(x, y)}). This is no trouble than the case for (CA).

2 The fixed point for negation is the statement rr, where r is {x: xx}, since we have rr ↔ ¬(rr). This generalises to any propositional function: we have {x: F(xx)} ∈ {x: F(xx)} ↔ F({x: F(xx)} ∈ {x: F(xx)}) for any propositional function F.