In Dale Jacquette (ed.), Philosophy of Logic (2006)
|Abstract||Over the years, Skolem’s Paradox has generated a fairly steady stream of philosophical discussion; nonetheless, the overwhelming consensus among philosophers and logicians is that the paradox doesn’t constitute a mathematical problem (i.e., it doesn’t constitute a real contradiction). Further, there’s general agreement as to why the paradox doesn’t constitute a mathematical problem. By looking at the way firstorder structures interpret quantifiers—and, in particular, by looking at how this interpretation changes as we move from structure to structure—we can give a technically adequate “solution” to Skolem’s Paradox. So, whatever the philosophical upshot of Skolem’s Paradox may be, the mathematical side of Skolem’s Paradox seems to be relatively straightforward.|
|Keywords||No keywords specified (fix it)|
|Through your library||Configure|
Similar books and articles
William J. Thomas (1968). Platonism and the Skolem Paradox. Analysis 28 (6):193--6.
Michael David Resnik (1969). More on Skolem's Paradox. Noûs 3 (2):185-196.
F. A. Muller (2005). Deflating Skolem. Synthese 143 (3):223 - 253.
F. A. Muller (2005). Deflating Skolem. Synthese 143 (3):223--53.
Alexander George (1985). Skolem and the Löwenheim-Skolem Theorem: A Case Study of the Philosophical Significance of Mathematical Results. History and Philosophy of Logic 6 (1):75-89.
Stathis Livadas (2013). Are Mathematical Theories Reducible to Non-Analytic Foundations? Axiomathes 23 (1):109-135.
Luca Bellotti (2006). Skolem, the Skolem 'Paradox' and Informal Mathematics. Theoria 72 (3):177-212.
Timothy Bays (2009). Skolem's Paradox. In Edward N. Zalta (ed.), Stanford Encyclopedia of Philosophy.
Added to index2009-01-28
Total downloads25 ( #50,393 of 556,837 )
Recent downloads (6 months)1 ( #64,847 of 556,837 )
How can I increase my downloads?