The negative theology of absolute infinity: Cantor, mathematics, and humility
Cantor argued that absolute infinity is beyond mathematical comprehension. His arguments imply that the domain of mathematics cannot be grasped by mathematical means. We argue that this inability constitutes a foundational problem. For Cantor, however, the domain of mathematics does not belong to ma...
| Authors: | ; |
|---|---|
| Format: | Electronic Article |
| Language: | English |
| Check availability: | HBZ Gateway |
| Journals Online & Print: | Drawer...
|
| Fernleihe: | Fernleihe für die Fachinformationsdienste |
| Published: |
Springer Nature B. V
2024
|
| In: |
International journal for philosophy of religion
Year: 2024, Volume: 95, Issue: 3, Pages: 233-256 |
| Further subjects: | B
Georg Cantor
B Humility B Absolute infinity B Absolute generality B Foundations of mathematics B Negative Theology |
| Online Access: |
Volltext (kostenfrei) |
MARC
| LEADER | 00000caa a22000002 4500 | ||
|---|---|---|---|
| 001 | 1896028535 | ||
| 003 | DE-627 | ||
| 005 | 20240724034031.0 | ||
| 007 | cr uuu---uuuuu | ||
| 008 | 240723s2024 xx |||||o 00| ||eng c | ||
| 024 | 7 | |a 10.1007/s11153-023-09897-8 |2 doi | |
| 035 | |a (DE-627)1896028535 | ||
| 035 | |a (DE-599)KXP1896028535 | ||
| 040 | |a DE-627 |b ger |c DE-627 |e rda | ||
| 041 | |a eng | ||
| 084 | |a 0 |2 ssgn | ||
| 100 | 1 | |e VerfasserIn |0 (DE-588)1104189828 |0 (DE-627)861691113 |0 (DE-576)470880570 |4 aut |a Gutschmidt, Rico |d 1979- | |
| 109 | |a Gutschmidt, Rico 1979- | ||
| 245 | 1 | 4 | |a The negative theology of absolute infinity: Cantor, mathematics, and humility |
| 264 | 1 | |c 2024 | |
| 336 | |a Text |b txt |2 rdacontent | ||
| 337 | |a Computermedien |b c |2 rdamedia | ||
| 338 | |a Online-Ressource |b cr |2 rdacarrier | ||
| 520 | |a Cantor argued that absolute infinity is beyond mathematical comprehension. His arguments imply that the domain of mathematics cannot be grasped by mathematical means. We argue that this inability constitutes a foundational problem. For Cantor, however, the domain of mathematics does not belong to mathematics, but to theology. We thus discuss the theological significance of Cantor’s treatment of absolute infinity and show that it can be interpreted in terms of negative theology. Proceeding from this interpretation, we refer to the recent debate on absolute generality and argue that the method of diagonalization constitutes a modern version of the via negativa. On our reading, negative theology can evoke an attitude of humility with respect to the boundedness of the human condition. Along these lines, we think that the foundational problem of mathematics concerning its domain can be addressed through a methodological attitude of humility. | ||
| 601 | |a Theologe | ||
| 601 | |a Absolution | ||
| 601 | |a Mathematik | ||
| 650 | 4 | |a Humility | |
| 650 | 4 | |a Foundations of mathematics | |
| 650 | 4 | |a Absolute generality | |
| 650 | 4 | |a Negative Theology | |
| 650 | 4 | |a Absolute infinity | |
| 650 | 4 | |a Georg Cantor | |
| 700 | 1 | |e VerfasserIn |0 (DE-588)1140438417 |0 (DE-627)898450462 |0 (DE-576)493769366 |4 aut |a Carl, Merlin |d 1982- | |
| 773 | 0 | 8 | |i Enthalten in |t International journal for philosophy of religion |d Dordrecht : Springer Nature B.V, 1970 |g 95(2024), 3, Seite 233-256 |h Online-Ressource |w (DE-627)320442098 |w (DE-600)2005049-5 |w (DE-576)103746927 |x 1572-8684 |7 nnns |
| 773 | 1 | 8 | |g volume:95 |g year:2024 |g number:3 |g pages:233-256 |
| 856 | |u https://link.springer.com/content/pdf/10.1007/s11153-023-09897-8.pdf |x unpaywall |z Vermutlich kostenfreier Zugang |h publisher [open (via crossref license)] | ||
| 856 | 4 | 0 | |u https://doi.org/10.1007/s11153-023-09897-8 |x Resolving-System |z kostenfrei |3 Volltext |
| 912 | |a NOMM | ||
| 935 | |a mteo | ||
| 951 | |a AR | ||
| ELC | |a 1 | ||
| ITA | |a 1 |t 1 | ||
| LOK | |0 000 xxxxxcx a22 zn 4500 | ||
| LOK | |0 001 4555683269 | ||
| LOK | |0 003 DE-627 | ||
| LOK | |0 004 1896028535 | ||
| LOK | |0 005 20240723055504 | ||
| LOK | |0 008 240723||||||||||||||||ger||||||| | ||
| LOK | |0 035 |a (DE-Tue135)IxTheo#2024-07-22#4CA14A8E782588913FC468F9E00A9638EB602B73 | ||
| 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 zota | ||
| OAS | |a 1 | ||
| ORI | |a TA-MARC-ixtheoa001.raw | ||
| REL | |a 1 | ||
| SUB | |a REL | ||