Topoi 29 (1):61-75 (2010)
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||Philosophy of mathematics Finitism Arithmetization Kronecker|
|Categories||categorize this paper)|
References found in this work BETA
Figures of Thought: Mathematics and Mathematical Texts.David Reed - 1994 - Routledge.
Discrete Thoughts Essays on Mathematics, Science, and Philosophy.Mark Kac, Harry Newman, Jacob T. Schwartz & Gian-Carlo Rota - 1986
Citations of this work BETA
No citations found.
Similar books and articles
Astrophysical Fine Tuning, Naturalism, and the Contemporary Design Argument.Mark A. Walker & M. Milan - 2006 - International Studies in the Philosophy of Science 20 (3):285 – 307.
Should We Care About Fine-Tuning?Jeffrey Koperski - 2005 - British Journal for the Philosophy of Science 56 (2):303-319.
Fine-Tuning and the Infrared Bull's-Eye.John Roberts - 2012 - Philosophical Studies 160 (2):287-303.
Fine-Tuning, Quantum Mechanics and Cosmological Artificial Selection.Clément Vidal - 2012 - Foundations of Science 17 (1):29-38.
What Fine-Tuning's Got to Do with It: A Reply to Weisberg.R. White - 2011 - Analysis 71 (4):676-679.
Added to index2009-12-16
Total downloads107 ( #46,752 of 2,172,040 )
Recent downloads (6 months)1 ( #325,337 of 2,172,040 )
How can I increase my downloads?