Against the Judgment-Dependence of Mathematics and Logic
Although the case for the judgment-dependence of many other domains has been pored over, surprisingly little attention has been paid to mathematics and logic. This paper presents two dilemmas for a judgment-dependent account of these areas. First, the extensionality-substantiality dilemma: in each c...
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| Format: | Journal article |
| Language: | English |
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2012
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| _version_ | 1797068529764139008 |
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| author | Paseau, A |
| author_facet | Paseau, A |
| author_sort | Paseau, A |
| collection | OXFORD |
| description | Although the case for the judgment-dependence of many other domains has been pored over, surprisingly little attention has been paid to mathematics and logic. This paper presents two dilemmas for a judgment-dependent account of these areas. First, the extensionality-substantiality dilemma: in each case, either the judgment-dependent account is extensionally inadequate or it cannot meet the substantiality condition (roughly: non-vacuous specification). Second, the extensionality-extremality dilemma: in each case, either the judgment-dependent account is extensionally inadequate or it cannot meet the extremality condition (roughly: absence of independent explanation). The paper concludes with a moral concerning the judgment-dependence of a posteriori areas of discourse that emerges from consideration of these two a priori cases. © 2011 Springer Science+Business Media B.V. |
| first_indexed | 2024-03-06T22:11:53Z |
| format | Journal article |
| id | oxford-uuid:521aacd2-9859-48a2-8975-6418c33c9c3e |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-06T22:11:53Z |
| publishDate | 2012 |
| record_format | dspace |
| spelling | oxford-uuid:521aacd2-9859-48a2-8975-6418c33c9c3e2022-03-26T16:23:31ZAgainst the Judgment-Dependence of Mathematics and LogicJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:521aacd2-9859-48a2-8975-6418c33c9c3eEnglishSymplectic Elements at Oxford2012Paseau, AAlthough the case for the judgment-dependence of many other domains has been pored over, surprisingly little attention has been paid to mathematics and logic. This paper presents two dilemmas for a judgment-dependent account of these areas. First, the extensionality-substantiality dilemma: in each case, either the judgment-dependent account is extensionally inadequate or it cannot meet the substantiality condition (roughly: non-vacuous specification). Second, the extensionality-extremality dilemma: in each case, either the judgment-dependent account is extensionally inadequate or it cannot meet the extremality condition (roughly: absence of independent explanation). The paper concludes with a moral concerning the judgment-dependence of a posteriori areas of discourse that emerges from consideration of these two a priori cases. © 2011 Springer Science+Business Media B.V. |
| spellingShingle | Paseau, A Against the Judgment-Dependence of Mathematics and Logic |
| title | Against the Judgment-Dependence of Mathematics and Logic |
| title_full | Against the Judgment-Dependence of Mathematics and Logic |
| title_fullStr | Against the Judgment-Dependence of Mathematics and Logic |
| title_full_unstemmed | Against the Judgment-Dependence of Mathematics and Logic |
| title_short | Against the Judgment-Dependence of Mathematics and Logic |
| title_sort | against the judgment dependence of mathematics and logic |
| work_keys_str_mv | AT paseaua againstthejudgmentdependenceofmathematicsandlogic |