Benacerraf’s Dilemma and Neo-Meinongianism Cover Image
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Дилемата на Бенасераф и неомайнонгианството
Benacerraf’s Dilemma and Neo-Meinongianism

Author(s): Boris Nikolov
Subject(s): Philosophy, Metaphysics, Epistemology, Logic, Special Branches of Philosophy, Philosophy of Science
Published by: Институт по философия и социология при БАН
Keywords: mathematical objects; ontology; epistemology; semantic; neo-Meinongianism;

Summary/Abstract: This article aims to present the application of neo-Meinongianism to Benacerraf's dilemma. This dilemma embodies the problems of the ontology of mathematical objects. The two schools of thought in philosophy of mathematics – realism and anti-realism, are the two sides of the dilemma. The dilemma poses a challenge to the ontology of mathematical objects: in order to be adequate, it must not make the semantic and epistemological problems related to it unsolvable. This further complicates the ontology of mathematical objects. In a sense, we can assume that neo-Meinongianism, as a non-traditional approach, can offer a satisfactory solution to the dilemma, for, on the one hand, it preserves the standard referential semantics and, on the other, it makes a modification in the epistemology of mathematical objects.

  • Issue Year: XXX/2021
  • Issue No: 3
  • Page Range: 141-149
  • Page Count: 9
  • Language: Bulgarian