How discrete patterns emerge from algorithmic fine-tuning: A visual plea for kroneckerian finitism
Topoi 29 (1):61-75 (2010)
| Abstract | This paper sets out to adduce visual evidence for Kroneckerian finitism by making perspicuous some of the insights that buttress Kronecker’s conception of arithmetization as a process aiming at disclosing the arithmetical essence enshrined in analytical formulas, by spotting discrete patterns through algorithmic fine-tuning. In the light of a fairly tractable case study, it is argued that Kronecker’s main tenet in philosophy of mathematics is not so much an ontological as a methodological one, inasmuch as highly demanding requirements regarding mathematical understanding prevail over mere preemptive reductionism to whole numbers. | |||||||||
| Keywords | No keywords specified (fix it) | |||||||||
| Categories | ||||||||||
| Options |
|
|||||||||
Download options| PhilPapers Archive |
Upload a copy of this paper Check publisher's policy on self-archival Papers currently archived: 5,664 |
| External links |
 |
| Through your library | Configure |
Similar books and articlesM. C. Bradley (2001). The Fine-Tuning Argument. Religious Studies 37 (4):451-466.
Mark A. Walker & M. Milan (2006). Astrophysical Fine Tuning, Naturalism, and the Contemporary Design Argument. International Studies in the Philosophy of Science 20 (3):285 – 307.
Jeffrey Koperski (2005). Should We Care About Fine-Tuning? British Journal for the Philosophy of Science 56 (2):303-319.
John Roberts (2012). Fine-Tuning and the Infrared Bull's-Eye. Philosophical Studies 160 (2):287-303.
Mark Colyvan, Jay L. Garfield & Graham Priest (2005). Problems with the Argument From Fine Tuning. Synthese 145 (3):325 - 338.
Clément Vidal (2012). Fine-Tuning, Quantum Mechanics and Cosmological Artificial Selection. Foundations of Science 17 (1):29-38.
Bradley Monton (2006). God, Fine-Tuning, and the Problem of Old Evidence. British Journal for the Philosophy of Science 57 (2):405-424.
Graham Wood (2006). The Fine-Tuning Argument: The ‘Design Inference’ Version. Religious Studies 42 (4):467-471.
R. White (2011). What Fine-Tuning's Got to Do with It: A Reply to Weisberg. Analysis 71 (4):676-679.
Neil A. Manson (2009). The Fine-Tuning Argument. Philosophy Compass 4 (1):271-286.
Analytics
Monthly downloads |
Added to index2009-12-16Total downloads40 ( #28,830 of 549,014 )Recent downloads (6 months)1 ( #63,261 of 549,014 )How can I increase my downloads? |
My notes
Discussion
