Agnostic nominalism: response to Otávio Bueno

Manuscrito 31 (1):441-444 (2008)
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Abstract

Otávio Bueno gives a positive and accurate summary of my defense of Platonism, with special emphasis on the epistemological issues. He criticizes “skeptical nominalism”, and proposes instead an “agnostic nominalism”, which treats mathematical objects as “objects of thought”, and neither rejects nor accepts abstract entities. In my response I argue that the main problem for nominalism is to account for abstract properties and relations, and that treating mathematical objects as objects of thought does not provide a satisfactory solution to that end.Otávio Bueno apresenta um resumo positivo e correto de minha defesa do Platonismo, com ênfase especial nos aspectos epistemológicos. Ele critica o “nominalismo cético” e propõe um “nominalismo agnóstico” que trata os objetos matemáticos como “objetos de pensamento”, sem rejeitar ou aceitar entes abstratos. Em minha réplica argumento que o problema principal para o nominalismo é dar conta das propriedades e relações abstratas, e que tratar os objetos matemáticos como objetos de pensamento não é uma solução satisfatória para esse fim

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