Publicado 2012-05-01
Este trabalho está licenciado sob uma licença Creative Commons Attribution-NonCommercial 4.0 International License.
Resumo
In the discussion about Yablo’s Paradox, a debated topic is the status of infinitary proofs. It is usually considered that, although a realist could (with some effort) accept them, an anti-realist could not do it at all. In this paper I will argue that there are plausible reasons for an anti-realist to accept infinitary proofs and rules of inference.
Referências
- Beall, JC. (2001), ‘Is Yablo’s paradox non circular?’, Analysis, 61, pp. 176-187.
- Bringsjord, S. and van Heuveln, B. (2003), ‘The ‘mental eye’ defense of an infinitized version of Yablo’s paradox’, Analysis, 63, pp. 61-70.
- Brouwer, l. (1928), 'Mathematics, science and language', in Ewald, W. (1996), From Kant to Hilbert, vol. 2, Oxford University Press, pp.1170-1785.
- Cook, R. (forthcoming), Yablo’s Paradox: An Essay on Circularity, Oxford, Oxford University Press.
- Dummett, M. (1975), 'Wang’s Paradox’, Synthese, 30, pp. 301-324.
- Hilbert, D. (1931), ‘The grounding of elementary number theory’, in Ewald, W. (1996), From Kant to Hilbert, vol. 2, Oxford UniversityPress, pp. 1148-1157.
- Ignjatovic, A. (1992), ‘Hilbert’s program and the omega-rule’, Journal of Symbolic Logic, 59 (1), pp. 322-343.
- Ketland, J. (2005), ‘Some more curious inferences’, Analysis, 65, pp 18-24.
- Moore, A. (1990), ‘A problem for intuitionism: The apparent possibility of performing infinitely many tasks in a finite time’, Proceedings of the Aristotelian Society, 90, pp. 17-34.
- Sorensen, R. (1998), ‘Yablo’s paradox and kindred infinite liars’, Mind, 107, pp. 137-155.
- Tarski, A. (1936), 'On the Concept of following logically', Stroińska, M. and Hitchcock, D. (trads.), History and Philosophy of Logic, 2002, 23, pp. 155-196.
- Tennant, N. (1997), The taming of the true, Oxford, Oxford University Press.
- van Dantzig, D. (1956), ’Is 101010a finite number?’, Dialectica, 10, pp.273-277.
- Wittgenstein, l. (1964), Remarks on the Foundations of Mathematics, von Wright, G. H., Rhees, R. and anscombe, G. E. M. (eds), Anscombe, G. E. M. (trad.), Oxford, Blackwell.
- Wright, C. (1982), ‘Strict finitism’, Synthese, 51 (2), pp. 203-282.