... the Classical Infinitesimals Chink and Permeate?, MA Thesis 2009 the University of Melbourne Pluralism reductionism games noneism non-classical mathematics applied mathematics Abstract There is a plurality of mathematical investigations. These cannot all be reduced to proofs within the framework...

...Chapter 8 replies to an argument against noneism based on a paradox of denotation, due essentially to Hilbert and Bernays. The solution proceeds in terms of a theory of multiple-denotation. denotation paradoxes self reference Bernays P Hilbert D Liar paradox Tarski’s Theorem Priest G...

... noneism. Lewis D Woodward R quantifiers Quinean translation of noneist language translation Hale B noneism platonism xvii concrete objects objects Quine W V O noneism existentially loaded quantifiers Bob Hale David Lewis Richard Woodward In this chapter I want to deal with a number...

... ‘noneism’ (which permits too many). A middle path is defended, which holds that non-existent intentional objects have only representation-dependent properties. These are properties in what is sometimes called the ‘pleonastic’ sense. This chapter also argues that fictional characters do not exist. Grossmann...

... existent objects mathematical objects non existent objects objects Principles of Mathematics Russell subsistent objects worlds Priest G causal relations fictional objects modal realism noneism platonism xvii realism Lewis D impossible worlds possible worlds Sylvan’s Box actual world...

...Chapter 3 provides a semantics for intentional predicates. The semantics proceeds in terms of objects which may or may not exist. An appendix discusses accounts of intentionality in Medieval Logic. intentional predicates predicates Reid S Buridan J Meinong A non existence noneism existence...

... worlds Routley R later Sylvan fiction fictional objects non-existent objects noneism Non-existent objects, like existent objects, are of different kinds. This chapter is about one of them. Noneism, as such, does not commit one to any particular view about which objects do not exist. But the paradigm...

... descriptions indefinite descriptions naming causal theory of noneism reference private language argument Wittgenstein Wittgenstein L model theoretic argument Putnam Putnam H Wang W F knowledge Characterization Principle CP Gödel K Gödel's theorem mathematics applying set theory Gödel existent...

...Chapter 8 replies to an argument against noneism based on a paradox of denotation, due essentially to Hilbert and Bernays. The solution proceeds in terms of a theory of multiple-denotation. denotation paradoxes self reference Bernays P Hilbert D multiple denotation paraconsistency semantics...

... non existent objects noneism substitutivity of identicals Russell B impossible objects meinongianism objects possible objects representations existence predicate existence entailing predicates predicates semantics actual world existent objects non intentional predicates possible worlds...

... and Beyond Routley representations imagination imagining inconsistency inconsistent worlds worlds incompleteness paraconsistency actual world existence entailing predicates predicates truth s Norman J Priest G fiction fictional objects non-existent objects noneism Non-existent objects, like...

... theory noneism paradoxes self reference Reicher M Zalta E dual copula strategy actuality operator encoding necessity operator being Brentano F Jago M Meinong A falsehoods logical falsehoods Frege G Rami D de dicto and de re worlds intensional predicates predicates Fujikawa N...