A Reply to Heathcote's: On the Exhaustion of Mathematical Entities by Structures
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| 100 | 1 | |a Kouri |D Teresa |u The Ohio State University, 350 University Hall, 230 North Oval Mall, 43210, Columbus, OH, USA |4 aut | |
| 245 | 1 | 2 | |a A Reply to Heathcote's: On the Exhaustion of Mathematical Entities by Structures |h [Elektronische Daten] |c [Teresa Kouri] |
| 520 | 3 | |a In this article I respond to Heathcote's "On the Exhaustion of Mathematical Entities by Structures”. I show that his ontic exhaustion issue is not a problem for ante rem structuralists. First, I show that it is unlikely that mathematical objects can occur across structures. Second, I show that the properties that Heathcote suggests are underdetermined by structuralism are not so underdetermined. Finally, I suggest that even if Heathcote's ontic exhaustion issue if thought of as a problem of reference, the structuralist has a readily available solution. | |
| 540 | |a Springer Science+Business Media Dordrecht, 2014 | ||
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| 690 | 7 | |a Complex numbers |2 nationallicence | |
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| 690 | 7 | |a Mathematical structuralism |2 nationallicence | |
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| 950 | |B NATIONALLICENCE |P 856 |E 40 |u https://doi.org/10.1007/s10516-014-9241-z |q text/html |z Onlinezugriff via DOI | ||
| 950 | |B NATIONALLICENCE |P 100 |E 1- |a Kouri |D Teresa |u The Ohio State University, 350 University Hall, 230 North Oval Mall, 43210, Columbus, OH, USA |4 aut | ||
| 950 | |B NATIONALLICENCE |P 773 |E 0- |t Axiomathes |d Springer Netherlands |g 25/3(2015-09-01), 345-357 |x 1122-1151 |q 25:3<345 |1 2015 |2 25 |o 10516 | ||