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Putnam's ModelTheoretic Argument Reconstructed
 The Journal of Philosophy
, 1999
"... Among those addressed by Putnam's modeltheoretic argument it is common opinion that the argument is invalid because questionbegging. If the standard analysis of the argument is along the right lines, then what has been called the `just more theory move' is to be held responsible for this. In the p ..."
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Among those addressed by Putnam's modeltheoretic argument it is common opinion that the argument is invalid because questionbegging. If the standard analysis of the argument is along the right lines, then what has been called the `just more theory move' is to be held responsible for this. In the present paper, an alternative reading of Putnam's argument is o#ered that makes the `just more theory move' come out perfectly legitimate, and the argument as a whole valid. 1 Introduction Metaphysical realism has been the main subject of the critical part of Putnam's work for over twenty years now. At the heart of this doctrine, as presented by Putnam, is a thesis which we shall here call Methodological Fallibilism (MF). What it says is that even an epistemically ideal theory may fall short of truth, where the notion of truth involved is that of Correspondence Truth (CT). 1 Note that MF is not merely about epistemically ideal theories. The claim is that no empirical theory, no matter how...
Reflections on Skolem's Paradox
"... In 1922, Thoraf Skolem published a paper titled "Some remarks on Axiomatized Set Theory". The paper presents a new proof of... This dissertation focuses almost exclusively on the first half of this project  i.e., the half which tries to expose an initial tension between Cantor's theorem and the Lö ..."
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In 1922, Thoraf Skolem published a paper titled "Some remarks on Axiomatized Set Theory". The paper presents a new proof of... This dissertation focuses almost exclusively on the first half of this project  i.e., the half which tries to expose an initial tension between Cantor's theorem and the LöwenheimSkolem theorem. I argue that, even on quite naive understandings of set theory and model theory, there is no such tension. Hence, Skolem's Paradox is not a genuine paradox, and there is very little reason to worry about (or even to investigate) the more extreme consequences that are supposed to follow from this paradox. The heart of my...