Nominalism, Trivialist Platonism and Benacerraf's dilemma

Chris Daly; David Liggins

doi:10.1093/analys/anu038

Nominalism, Trivialist Platonism and Benacerraf's dilemma

Chris Daly, David Liggins

Philosophy

Research output: Contribution to journal › Article › peer-review

114 Downloads (Pure)

Abstract

In his stimulating new book The Construction of Logical Space, Agustín Rayo offers a new account of mathematics, which he calls 'Trivialist Platonism'. In this article, we take issue with Rayo's case for Trivialist Platonism and his claim that the view overcomes Benacerraf's dilemma. Our conclusion is that Rayo has not shown that Trivialist Platonism has any advantage over nominalism.

Original language	English
Pages (from-to)	224-231
Number of pages	8
Journal	Analysis
Volume	74
Issue number	2
DOIs	https://doi.org/10.1093/analys/anu038
Publication status	Published - 2014

Keywords

'just is' statements
Benacerraf's dilemma
Nominalism
Platonism
Trivialism

Access to Document

10.1093/analys/anu038

Rayo AAMAccepted author manuscript, 706 KB

The Foundations of Ontology
Liggins, D. (PI) & Daly, C. (CoI)
1/11/11 → 31/10/14
Project: Research

Cite this

@article{a9e2a32ff7984abcbc8c12d3f6d13bc8,

title = "Nominalism, Trivialist Platonism and Benacerraf's dilemma",

abstract = "In his stimulating new book The Construction of Logical Space, Agust{\'i}n Rayo offers a new account of mathematics, which he calls 'Trivialist Platonism'. In this article, we take issue with Rayo's case for Trivialist Platonism and his claim that the view overcomes Benacerraf's dilemma. Our conclusion is that Rayo has not shown that Trivialist Platonism has any advantage over nominalism. ",

keywords = "'just is' statements, Benacerraf's dilemma, Nominalism, Platonism, Trivialism",

author = "Chris Daly and David Liggins",

year = "2014",

doi = "10.1093/analys/anu038",

language = "English",

volume = "74",

pages = "224--231",

journal = "Analysis",

issn = "0003-2638",

publisher = "Oxford University Press",

number = "2",

}

TY - JOUR

T1 - Nominalism, Trivialist Platonism and Benacerraf's dilemma

AU - Daly, Chris

AU - Liggins, David

PY - 2014

Y1 - 2014

N2 - In his stimulating new book The Construction of Logical Space, Agustín Rayo offers a new account of mathematics, which he calls 'Trivialist Platonism'. In this article, we take issue with Rayo's case for Trivialist Platonism and his claim that the view overcomes Benacerraf's dilemma. Our conclusion is that Rayo has not shown that Trivialist Platonism has any advantage over nominalism.

AB - In his stimulating new book The Construction of Logical Space, Agustín Rayo offers a new account of mathematics, which he calls 'Trivialist Platonism'. In this article, we take issue with Rayo's case for Trivialist Platonism and his claim that the view overcomes Benacerraf's dilemma. Our conclusion is that Rayo has not shown that Trivialist Platonism has any advantage over nominalism.

KW - 'just is' statements

KW - Benacerraf's dilemma

KW - Nominalism

KW - Platonism

KW - Trivialism

U2 - 10.1093/analys/anu038

DO - 10.1093/analys/anu038

M3 - Article

SN - 0003-2638

VL - 74

SP - 224

EP - 231

JO - Analysis

JF - Analysis

IS - 2

ER -

Nominalism, Trivialist Platonism and Benacerraf's dilemma

Abstract

Keywords

Access to Document

Fingerprint

Projects

The Foundations of Ontology

Cite this