WHICH CAME FIRST: THE LOGIC OR THE MATH?

Autores

  • Mark Wilson University of Pittsburgh

Palavras-chave:

Properties. Sets. Hierarchy. Applied mathematics

Resumo

Many authors, including Oswaldo Chateaubriand, maintain that “properties” should be structured in logical grades, where the least abstract quantities comprise the lowest ranks of a hierarchy that embraces more abstract and mathematized qualities only at higher levels. But applied mathematicians warns that no quantities can be expected to possess crisp, real world extensions unless they have already been processed with a fair amount of set theoretic machinery beforehand.

 

Resumo:

Muitos autores, incluindo Oswaldo Chateaubriand, sustentam que "propriedades" deveriam ser estruturadas em uma gradação lógica, onde as quantidades menos abstratas ficariam num nível mais baixo de uma hierarquia que abarca qualidades mais matematizadas e abstratas somente em níveis mais elevados. Mas matemáticos aplicados advertem que não se pode esperar de nenhuma quantidade que elas possuam extensões precisas, como do mundo real, a menos que já tenham sido tratados de antemão com uma boa dose de maquinaria conjuntista.

Palavras chave: Propriedades. Conjuntos. Hierarquia. Matemática aplicada.

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Biografia do Autor

Mark Wilson, University of Pittsburgh

Mark Wilson is distinguished professor of philosophy, a fellow of the Center for Philosophy of Science and a Fellow at the American Academy of Arts and Sciences. Before coming to Pittsburgh, he taught at the University of California-San Diego, the University of Illinois-Chicago, and Ohio State. His main research investigates the manner in which physical and mathematical concerns become entangled with issues characteristic of metaphysics and philosophy of language; he is currently writing a book on explanatory structure. He is also interested in the historical dimensions of this interchange; in this vein, he has written on Descartes, Frege, Duhem, and Wittgenstein. He also supervises the North American Traditions Series for Rounder Records.

Referências

BATTERMAN, R.W. The Devil in the Details. Oxford: Oxford University Press, 2001.

CHATEAUBRIAND, O. Logical Forms. Part II: Logic, Language and Knowledge. Campinas: UNICAMP, 2005. (Coleção CLE, v.42).

DICKSON, M., DOMSKI, M. (eds.). Synthesis and the Growth of Knowledge. Chicago: Open Court Press, forthcoming.

EDDINGTON, A. The Nature of the Physical World. New York: MacMillan, 1935.

ROHAULT, J. Rohault’s System of Natural Philosophy. London: Taylor and Francis, 1988.

WILSON, M. “Back to ‘Back to Kant’”. In: M. Dickson and M. Domski (eds.) (Forthcoming).

WILSON, M. “The Unreasonable Uncooperativeness of Mathematics in the Natural Sciences.” The Monist, 83(2), pp. 296-314, 2000.

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Publicado

2015-12-11

Como Citar

WILSON, M. WHICH CAME FIRST: THE LOGIC OR THE MATH?. Manuscrito: Revista Internacional de Filosofia, Campinas, SP, v. 31, n. 1, p. 331–354, 2015. Disponível em: https://periodicos.sbu.unicamp.br/ojs/index.php/manuscrito/article/view/8642234. Acesso em: 8 dez. 2022.

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