Logical Consequence for Nominalists

Logical Consequence for Nominalists

It is often claimed that nominalistic programmes to reconstruct mathematics fail, since they will at some point involve the notion of logical consequence which is unavailable to the nominalist. In this paper we use an idea of Goodman and Quine to develop a nominalistically acceptable explication of...

Full description

Bibliographic Details
Main Authors: Marcus Rossberg, Daniel Cohnitz
Format: Article
Language:English
Published: University of the Basque Country 2009-12-01
Series:THEORIA : an International Journal for Theory, History and Fundations of Science
Subjects:
Philosophy of mathematics, nominalism, logical consequence, inferentialism, Nelson Goodman, W.V. Quine
Online Access:http://www.ehu.es/ojs/index.php/THEORIA/article/view/440
id doaj-1d5c11bebc0748c793c2d051d86fa6c2
record_format Article
spelling doaj-1d5c11bebc0748c793c2d051d86fa6c22020-11-25T00:01:23ZengUniversity of the Basque CountryTHEORIA : an International Journal for Theory, History and Fundations of Science0495-45482171-679X2009-12-0124214716810.1387/theoria.440446Logical Consequence for NominalistsMarcus RossbergDaniel CohnitzIt is often claimed that nominalistic programmes to reconstruct mathematics fail, since they will at some point involve the notion of logical consequence which is unavailable to the nominalist. In this paper we use an idea of Goodman and Quine to develop a nominalistically acceptable explication of logical consequence.http://www.ehu.es/ojs/index.php/THEORIA/article/view/440Philosophy of mathematics, nominalism, logical consequence, inferentialism, Nelson Goodman, W.V. Quine
collection DOAJ
language English
format Article
sources DOAJ
author Marcus Rossberg
Daniel Cohnitz
spellingShingle Marcus Rossberg
Daniel Cohnitz
Logical Consequence for Nominalists
THEORIA : an International Journal for Theory, History and Fundations of Science
Philosophy of mathematics, nominalism, logical consequence, inferentialism, Nelson Goodman, W.V. Quine
author_facet Marcus Rossberg
Daniel Cohnitz
author_sort Marcus Rossberg
title Logical Consequence for Nominalists
title_short Logical Consequence for Nominalists
title_full Logical Consequence for Nominalists
title_fullStr Logical Consequence for Nominalists
title_full_unstemmed Logical Consequence for Nominalists
title_sort logical consequence for nominalists
publisher University of the Basque Country
series THEORIA : an International Journal for Theory, History and Fundations of Science
issn 0495-4548
2171-679X
publishDate 2009-12-01
description It is often claimed that nominalistic programmes to reconstruct mathematics fail, since they will at some point involve the notion of logical consequence which is unavailable to the nominalist. In this paper we use an idea of Goodman and Quine to develop a nominalistically acceptable explication of logical consequence.
topic Philosophy of mathematics, nominalism, logical consequence, inferentialism, Nelson Goodman, W.V. Quine
url http://www.ehu.es/ojs/index.php/THEORIA/article/view/440
work_keys_str_mv AT marcusrossberg logicalconsequencefornominalists
AT danielcohnitz logicalconsequencefornominalists
_version_ 1725442293661433856

Similar Items