Non-Representational Mathematical Realism
<p>This paper is an attempt to convince anti-realists that their correct intuitions against the metaphysical inflationism derived from some versions of mathematical realism do not force them to embrace non-standard, epistemic approaches to truth and existence. It is also an attempt to convince...
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| Format: | Article |
| Language: | English |
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University of the Basque Country
2015-11-01
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| Series: | Theoria |
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| Online Access: | http://www.ehu.eus/ojs/index.php/THEORIA/article/view/14105 |
| _version_ | 1818548955578892288 |
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| author | Maria Jose Frapolli |
| author_facet | Maria Jose Frapolli |
| author_sort | Maria Jose Frapolli |
| collection | DOAJ |
| description | <p>This paper is an attempt to convince anti-realists that their correct intuitions against the metaphysical inflationism derived from some versions of mathematical realism do not force them to embrace non-standard, epistemic approaches to truth and existence. It is also an attempt to convince mathematical realists that they do not need to implement their perfectly sound and judicious intuitions with the anti-intuitive developments that render full-blown mathematical realism into a view which even Gödel considered objectionable (Gödel 1995, p. 150).</p><p>I will argue for the following two theses: (i) that realism, in its standard characterization, is our default position, a position in agreement with our pre-theoretical intuitions and with the results of our best semantic theories, and (ii) that most of the metaphysical qualms usually related to it depends on a poor understanding of truth and existence as higher-order concepts. </p> |
| first_indexed | 2024-12-12T08:27:09Z |
| format | Article |
| id | doaj.art-92504d56064f492c9a12e749c0633f39 |
| institution | Directory Open Access Journal |
| issn | 0495-4548 2171-679X |
| language | English |
| last_indexed | 2024-12-12T08:27:09Z |
| publishDate | 2015-11-01 |
| publisher | University of the Basque Country |
| record_format | Article |
| series | Theoria |
| spelling | doaj.art-92504d56064f492c9a12e749c0633f392022-12-22T00:31:13ZengUniversity of the Basque CountryTheoria0495-45482171-679X2015-11-0130333134810.1387/theoria.1410511587Non-Representational Mathematical RealismMaria Jose Frapolli0University of Granada (Spain) University College (UK)<p>This paper is an attempt to convince anti-realists that their correct intuitions against the metaphysical inflationism derived from some versions of mathematical realism do not force them to embrace non-standard, epistemic approaches to truth and existence. It is also an attempt to convince mathematical realists that they do not need to implement their perfectly sound and judicious intuitions with the anti-intuitive developments that render full-blown mathematical realism into a view which even Gödel considered objectionable (Gödel 1995, p. 150).</p><p>I will argue for the following two theses: (i) that realism, in its standard characterization, is our default position, a position in agreement with our pre-theoretical intuitions and with the results of our best semantic theories, and (ii) that most of the metaphysical qualms usually related to it depends on a poor understanding of truth and existence as higher-order concepts. </p>http://www.ehu.eus/ojs/index.php/THEORIA/article/view/14105Realism, Representationalism, Existence, Truth |
| spellingShingle | Maria Jose Frapolli Non-Representational Mathematical Realism Theoria Realism, Representationalism, Existence, Truth |
| title | Non-Representational Mathematical Realism |
| title_full | Non-Representational Mathematical Realism |
| title_fullStr | Non-Representational Mathematical Realism |
| title_full_unstemmed | Non-Representational Mathematical Realism |
| title_short | Non-Representational Mathematical Realism |
| title_sort | non representational mathematical realism |
| topic | Realism, Representationalism, Existence, Truth |
| url | http://www.ehu.eus/ojs/index.php/THEORIA/article/view/14105 |
| work_keys_str_mv | AT mariajosefrapolli nonrepresentationalmathematicalrealism |