Frege and Russell: Does Science Talk Sense?

Over the course of the nineteenth century mathematicians became vividly aware that great advances in intuitive “understanding” could be obtained if novel definitions were devised for old notions such as “conic section”, for one thereby often gained a deeper appreciation for why old theorems in the...

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Main Author: Mark Wilson
Format: Article
Language:English
Published: University of Rijeka. Faculty of Humanities and Social Sciences 2007-01-01
Series:European Journal of Analytic Philosophy
Subjects:
Online Access:https://hrcak.srce.hr/file/137205
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author Mark Wilson
author_facet Mark Wilson
author_sort Mark Wilson
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description Over the course of the nineteenth century mathematicians became vividly aware that great advances in intuitive “understanding” could be obtained if novel definitions were devised for old notions such as “conic section”, for one thereby often gained a deeper appreciation for why old theorems in the subject had to be true (the new definitions were said to have proved “more fruitful” in these regards). From a naïve philosophical standpoint, such definitional alterations look as if they must properly displace the “propositional contents” of the very theorems they seek to illuminate. Haven’t our reformers merely “changed the subject”, rather than truly provided. The conceptual enlightenment they claim? Many practitioners of the time claimed that “Science” enjoys a special prerogative to ignore “surface content” in its search for truth, a sentiment with which Frege often concurs, at least in his early writings. Yet it is hard to render these opinions consistent with his official views on sense andreference, as this essay details. It also surveys Russell’s views on such topics, although he was generally less aware than Frege of the revolutionary mathematical work pursued within the “search for fruitful definitions” program.
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spelling doaj.art-8f21203e631a4cf59506306bee51d8b92022-12-22T02:45:03ZengUniversity of Rijeka. Faculty of Humanities and Social SciencesEuropean Journal of Analytic Philosophy1845-84751849-05142007-01-0132179190Frege and Russell: Does Science Talk Sense?Mark WilsonOver the course of the nineteenth century mathematicians became vividly aware that great advances in intuitive “understanding” could be obtained if novel definitions were devised for old notions such as “conic section”, for one thereby often gained a deeper appreciation for why old theorems in the subject had to be true (the new definitions were said to have proved “more fruitful” in these regards). From a naïve philosophical standpoint, such definitional alterations look as if they must properly displace the “propositional contents” of the very theorems they seek to illuminate. Haven’t our reformers merely “changed the subject”, rather than truly provided. The conceptual enlightenment they claim? Many practitioners of the time claimed that “Science” enjoys a special prerogative to ignore “surface content” in its search for truth, a sentiment with which Frege often concurs, at least in his early writings. Yet it is hard to render these opinions consistent with his official views on sense andreference, as this essay details. It also surveys Russell’s views on such topics, although he was generally less aware than Frege of the revolutionary mathematical work pursued within the “search for fruitful definitions” program.https://hrcak.srce.hr/file/137205Definition19th century definitional practiceobjective contentsensemeaning
spellingShingle Mark Wilson
Frege and Russell: Does Science Talk Sense?
European Journal of Analytic Philosophy
Definition
19th century definitional practice
objective content
sense
meaning
title Frege and Russell: Does Science Talk Sense?
title_full Frege and Russell: Does Science Talk Sense?
title_fullStr Frege and Russell: Does Science Talk Sense?
title_full_unstemmed Frege and Russell: Does Science Talk Sense?
title_short Frege and Russell: Does Science Talk Sense?
title_sort frege and russell does science talk sense
topic Definition
19th century definitional practice
objective content
sense
meaning
url https://hrcak.srce.hr/file/137205
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