Descartes on the Eternal Truths and Essences of Mathematics: An Alternative Reading
René Descartes is neither a Conceptualist nor a Platonist when it comes to the ontological status of the eternal truths and essences of mathematics but articulates a view derived from Proclus. There are several advantages to interpreting Descartes’ texts in light of Proclus’ view of universals and p...
Main Author: | |
---|---|
Format: | Electronic Article |
Language: | English |
Check availability: | HBZ Gateway |
Journals Online & Print: | |
Fernleihe: | Fernleihe für die Fachinformationsdienste |
Published: |
Brill
2016
|
In: |
Vivarium
Year: 2016, Volume: 54, Issue: 2/3, Pages: 204-249 |
IxTheo Classification: | TB Antiquity TJ Modern history VA Philosophy |
Further subjects: | B
Descartes
Proclus
eternal truths
universals
mathematics
|
Online Access: |
Volltext (Verlag) |
MARC
LEADER | 00000caa a22000002 4500 | ||
---|---|---|---|
001 | 1582477515 | ||
003 | DE-627 | ||
005 | 20211014171924.0 | ||
007 | cr uuu---uuuuu | ||
008 | 181031s2016 xx |||||o 00| ||eng c | ||
024 | 7 | |a 10.1163/15685349-12341319 |2 doi | |
035 | |a (DE-627)1582477515 | ||
035 | |a (DE-576)512477515 | ||
035 | |a (DE-599)BSZ512477515 | ||
040 | |a DE-627 |b ger |c DE-627 |e rakwb | ||
041 | |a eng | ||
084 | |a 1 |2 ssgn | ||
100 | 1 | |a Hattab, Helen |4 aut | |
245 | 1 | 0 | |a Descartes on the Eternal Truths and Essences of Mathematics: An Alternative Reading |
264 | 1 | |c 2016 | |
300 | |a Online-Ressource | ||
336 | |a Text |b txt |2 rdacontent | ||
337 | |a Computermedien |b c |2 rdamedia | ||
338 | |a Online-Ressource |b cr |2 rdacarrier | ||
520 | |a René Descartes is neither a Conceptualist nor a Platonist when it comes to the ontological status of the eternal truths and essences of mathematics but articulates a view derived from Proclus. There are several advantages to interpreting Descartes’ texts in light of Proclus’ view of universals and philosophy of mathematics. Key passages that, on standard readings, are in conflict are reconciled if we read Descartes as appropriating Proclus’ threefold distinction among universals. Specifically, passages that appear to commit Descartes to a Platonist view of mathematical objects and the truths that follow from them are no longer in tension with the Conceptualist view of universals implied by his treatment of the eternal truths in the Principles of Philosophy. This interpretation also fits the historical evidence and explains why Descartes ends up with seemingly inconsistent commitments to divine simplicity and God’s efficient creation of truths that are not merely conceptually distinct from the divine essence. | ||
601 | |a Mathematik | ||
650 | 4 | |a Descartes |x Proclus |x eternal truths |x universals |x mathematics | |
652 | |a TB:TJ:VA | ||
773 | 0 | 8 | |i In |t Vivarium |d Leiden [u.a.] : Brill, 1963 |g 54(2016), 2/3, Seite 204-249 |h Online-Ressource |w (DE-627)325567093 |w (DE-600)2036954-2 |w (DE-576)094145016 |x 1568-5349 |7 nnns |
773 | 1 | 8 | |g volume:54 |g year:2016 |g number:2/3 |g pages:204-249 |
856 | 4 | 0 | |u http://dx.doi.org/10.1163/15685349-12341319 |x Verlag |3 Volltext |
935 | |a mteo | ||
951 | |a AR | ||
ELC | |a 1 | ||
ITA | |a 1 |t 1 | ||
LOK | |0 000 xxxxxcx a22 zn 4500 | ||
LOK | |0 001 3030161269 | ||
LOK | |0 003 DE-627 | ||
LOK | |0 004 1582477515 | ||
LOK | |0 005 20211014171924 | ||
LOK | |0 008 181031||||||||||||||||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 bril | ||
LOK | |0 936ln |0 1442053534 |a TB | ||
LOK | |0 936ln |0 1442053909 |a TJ | ||
LOK | |0 936ln |0 1442053844 |a VA | ||
ORI | |a SA-MARC-ixtheoa001.raw | ||
REL | |a 1 | ||
SUB | |a REL |