Journal of Philosophical Logic 33 (1):1-26 (2004)
|Abstract||In this paper, the authors discuss Frege''s theory of logical objects (extensions, numbers, truth-values) and the recent attempts to rehabilitate it. We show that the eta relation George Boolos deployed on Frege''s behalf is similar, if not identical, to the encoding mode of predication that underlies the theory of abstract objects. Whereas Boolos accepted unrestricted Comprehension for Properties and used the eta relation to assert the existence of logical objects under certain highly restricted conditions, the theory of abstract objects uses unrestricted Comprehension for Logical Objects and banishes encoding (eta) formulas from Comprehension for Properties. The relative mathematical and philosophical strengths of the two theories are discussed. Along the way, new results in the theory of abstract objects are described, involving: (a) the theory of extensions, (b) the theory of directions and shapes, and (c) the theory of truth values|
|Keywords||No keywords specified (fix it)|
|Through your library||Configure|
Similar books and articles
Bernard Linsky & Edward N. Zalta (1995). Naturalized Platonism Versus Platonized Naturalism. Journal of Philosophy 92 (10):525-555.
Michael Beaney (2007). Frege's Use of Function-Argument Analysis and His Introduction of Truth-Values as Objects. Grazer Philosophische Studien 75 (1):93-123.
Edward N. Zalta (2006). Deriving and Validating Kripkean Claims Using the Theory of Abstract Objects. Noûs 40 (4):591–622.
Kai F. Wehmeier (1999). Consistent Fragments of Grundgesetze and the Existence of Non-Logical Objects. Synthese 121 (3):309-328.
Edward N. Zalta (2000). Neo-Logicism? An Ontological Reduction of Mathematics to Metaphysics. Erkenntnis 53 (1-2):219-265.
Marco Ruffino (2000). Extensions as Representative Objects in Frege's Logic. Erkenntnis 52 (2):239-252.
David J. Chalmers (2011). Frege's Puzzle and the Objects of Credence. Mind 120 (479):587-635.
Edward N. Zalta (1999). Natural Numbers and Natural Cardinals as Abstract Objects: A Partial Reconstruction of Frege"s Grundgesetze in Object Theory. Journal of Philosophical Logic 28 (6):619-660.
Matthias Schirn (2006). Concepts, Extensions, and Frege's Logicist Project. Mind 115 (460):983-1006.
Marco Ruffino (2003). Why Frege Would Not Be a Neo-Fregean. Mind 112 (445):51-78.
Added to index2009-01-28
Total downloads27 ( #45,781 of 549,083 )
Recent downloads (6 months)5 ( #15,152 of 549,083 )
How can I increase my downloads?