The ontological implications of neo-Fregeanism

  1. María de Ponte 1
  1. 1 Universidad de Sevilla
    info

    Universidad de Sevilla

    Sevilla, España

    ROR https://ror.org/03yxnpp24

Revue:
Daimon: revista internacional de filosofía

ISSN: 1130-0507,  1989-4651

Année de publication: 2016

Número: 69

Pages: 159-174

Type: Article

DOI: 10.6018/DAIMON/221831 DIALNET GOOGLE SCHOLAR

D'autres publications dans: Daimon: revista internacional de filosofía

Résumé

Neo-Fregeanism is a combination of two ideas: logicism, according to which arithmetic can be derived from logic plus definitions, and Platonism, according to which there are mathematical objects (which are abstract). Neo-Fregeans propose a new interpretation of Frege’s principles of abstraction (mainly the so-called Hume’s Principle) and of the role of reconceptualization and implicit definition for the introduction of numbers into our ontology. I analyze the ontological implications of neo-Fregeanism, not only for mathematics, but for abstract entities in general. After briefly introducing some of the main elements of neo-Fregeanism, I present two possible readings of its ontological implications and I argue that none of them gives the desired results.

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