Graduate studies at Western
Erkenntnis 59 (2):189 - 202 (2003)
|Abstract||Maddy's (1990) arguments against Aggregate Theory were undermined by the shift in her position in 1997. The present paper considers Aggregate Theory in the light of this, and the recent search for `New Axioms for Mathematics'. If Set Theory is the part-whole theory of singletons, then identifying singletons with their single members collapses Set Theory into Aggregate Theory. But if singletons are not identical to their single members, then they are not extensional objects and so are not a basis for Science. Either way, the Continuum Hypothesis has no physical interest.|
|Keywords||No keywords specified (fix it)|
|Categories||categorize this paper)|
|Through your library||Configure|
Similar books and articles
Emily Carson (1996). On Realism in Set Theory. Philosophia Mathematica 4 (1):3-17.
Paul Strauss (1991). Arithmetical Set Theory. Studia Logica 50 (2):343 - 350.
F. A. Muller (2001). Sets, Classes, and Categories. British Journal for the Philosophy of Science 52 (3):539-573.
Patrick Dehornoy (1996). Another Use of Set Theory. Bulletin of Symbolic Logic 2 (4):379-391.
Makmiller Pedroso (2009). On Three Arguments Against Categorical Structuralism. Synthese 170 (1):21 - 31.
Joseph S. Ullian (1969). Is Any Set Theory True? Philosophy of Science 36 (3):271-279.
Added to index2009-01-28
Total downloads11 ( #107,564 of 740,104 )
Recent downloads (6 months)1 ( #61,960 of 740,104 )
How can I increase my downloads?