Collapsing Arguments for Facts and Propositions Jordan Howard Sobel University of Toronto
[email protected] Received by Greg Restall Published November 27, 2008 http://www.philosophy.unimelb.edu.au/ajl/2008 © 2008 Jordan Howard Sobel Abstract: Kurt Gödel argues in “Russell’s Mathematical Logic” that on the as- sumption that, contrary to Russell, definite descriptions are terms, it follows given only several “apparently obvious axioms” that “all true sentences have the same signification (as well as all false ones).” Stephen Neale has written that this argument, and others by Church, Davidson, and Quine to similar conclusions, are of considerable philosophical interest. Graham Oppy, responding to this opinion, says they are of minimal interest. Falling between these is my opinion that implications of these arguments for propositions and facts are of moderate philosophical interest, and that these arguments provide occasions for reflection of possible interest on fine lines of several theories of definite descriptions and class–abstractions. 0 introduction 0.1 according to stephen neale “A collapsing argument is an argument designed to show that there are fewer items of a given kind than might be supposed. Alonzo Church. , W.V.Quine. , and Donald Davidson. have used col- lapsing arguments to undermine several philosophical theses, most notable (i). that there are facts to which true sentences corre- spond, (ii). that sentences designate propositions. ” (Neale 1995, p. 761 (cf., 2001, p. 9).) “(T)here is a collapsing argument, says Davidson, that precludes the articulation of (a viable theory of facts). The style of argument—used earlier by Church and Quine— is sometimes called the ‘Frege Argument’.