The Metaphysics of Mathematical Explanation in Science: Platonist and Nominalist Problems and Aristotelian Solutions

Debates between contemporary platonist and nominalist conceptions of the metaphysical status of mathematical objects have recently included discussions of explanations of physical phenomena in which mathematics plays an indispensable role, termed mathematical explanations in science (MES). I will ar...

Full description

Saved in:  
Bibliographic Details
Subtitles:Themenheft - "The Diakonia of Truth"
Main Author: Fisher, Patrick (Author)
Format: Electronic Article
Language:English
Check availability: HBZ Gateway
Journals Online & Print:
Drawer...
Fernleihe:Fernleihe für die Fachinformationsdienste
Published: [publisher not identified] 2021
In: Proceedings of the American Catholic Philosophical Association
Year: 2021, Volume: 95, Pages: 153-163
IxTheo Classification:VA Philosophy
Online Access: Volltext (lizenzpflichtig)
Volltext (lizenzpflichtig)

MARC

LEADER 00000caa a22000002 4500
001 1890261785
003 DE-627
005 20240711114148.0
007 cr uuu---uuuuu
008 240529s2021 xx |||||o 00| ||eng c
024 7 |a 10.5840/acpaproc20231027152  |2 doi 
035 |a (DE-627)1890261785 
035 |a (DE-599)KXP1890261785 
040 |a DE-627  |b ger  |c DE-627  |e rda 
041 |a eng 
084 |a 1  |2 ssgn 
100 1 |a Fisher, Patrick  |e VerfasserIn  |4 aut 
245 1 4 |a The Metaphysics of Mathematical Explanation in Science: Platonist and Nominalist Problems and Aristotelian Solutions 
246 1 |i Rubrikentitel  |a Themenheft - "The Diakonia of Truth" 
264 1 |c 2021 
336 |a Text  |b txt  |2 rdacontent 
337 |a Computermedien  |b c  |2 rdamedia 
338 |a Online-Ressource  |b cr  |2 rdacarrier 
520 |a Debates between contemporary platonist and nominalist conceptions of the metaphysical status of mathematical objects have recently included discussions of explanations of physical phenomena in which mathematics plays an indispensable role, termed mathematical explanations in science (MES). I will argue that MES requires an ontology that can (1) ground claims about mathematical necessity as distinct from physical necessity and (2) explain how that mathematical necessity applies to the physical world. I contend that nominalism fails to meet the first criterion and platonism the second. I then articulate an alternative, Aristotelian approach to mathematical objects and defend such a view as meeting both criteria. 
601 |a Metaphysik 
601 |a Mathematik 
601 |a Problem 
652 |a VA 
773 0 8 |i Enthalten in  |a American Catholic Philosophical Association  |t Proceedings of the American Catholic Philosophical Association  |d Washington, DC : [Verlag nicht ermittelbar], 1926  |g 95(2021), Seite 153-163  |h Online-Ressource  |w (DE-627)376274395  |w (DE-600)2130243-1  |w (DE-576)443083517  |x 2153-7925  |7 nnns 
773 1 8 |g volume:95  |g year:2021  |g pages:153-163 
856 4 0 |u https://doi.org/10.5840/acpaproc20231027152  |x Resolving-System  |z lizenzpflichtig  |3 Volltext 
856 4 0 |u https://www.pdcnet.org/pdc/bvdb.nsf/purchase?openform&fp=acpaproc&id=acpaproc_2021_0095_0153_0163  |x Verlag  |z lizenzpflichtig  |3 Volltext 
951 |a AR 
ELC |a 1 
LOK |0 000 xxxxxcx a22 zn 4500 
LOK |0 001 4531426509 
LOK |0 003 DE-627 
LOK |0 004 1890261785 
LOK |0 005 20240711114148 
LOK |0 008 240529||||||||||||||||ger||||||| 
LOK |0 040   |a DE-Tue135  |c DE-627  |d DE-Tue135 
LOK |0 092   |o n 
LOK |0 852   |a DE-Tue135 
LOK |0 852 1  |9 00 
LOK |0 935   |a ixzs  |a ixzo 
LOK |0 936ln  |0 1442053844  |a VA 
ORI |a SA-MARC-ixtheoa001.raw 
REL |a 1 
SUB |a REL