Archiv für Geschichte der Philosophie 90 (2):137-164 (2008)
I examine the question why in Proclus' view genetic processes provide demonstrative explanations, in light of the interpretation of Aristotle's theory of demonstration in late antiquity. I show that in this interpretation mathematics is not an explanatory science in the strict sense because its objects, being immaterial, do not admit causal explanation. Placing Proclus' account of demonstrative explanation in this context, I argue that this account is aimed at answering the question whether mathematical proofs provide causal explanation as opposed to grounds. I show further that Proclus can answer this question in the affirmative due to his realist view of mathematical objects and the priority he ascribes to causal relations over logical relations.
|Keywords||No keywords specified (fix it)|
|Categories||categorize this paper)|
References found in this work BETA
No references found.
Citations of this work BETA
Logic and Mathematics in the Seventeenth Century.Massimo Mugnai - 2010 - History and Philosophy of Logic 31 (4):297-314.
Similar books and articles
Explanation by Induction?Miguel Hoeltje, Benjamin Schnieder & Alex Steinberg - 2013 - Synthese 190 (3):509-524.
On the Alleged Extensionality of "Causal Explanatory Contexts".Cindy Stern - 1978 - Philosophy of Science 45 (4):614-625.
Magicicada, Mathematical Explanation and Mathematical Realism.Davide Rizza - 2011 - Erkenntnis 74 (1):101-114.
Causal and Mechanistic Explanations in Ecology.Jani Raerinne - 2011 - Acta Biotheoretica 59 (3):251-271.
Mathematical Explanation and the Theory of Why-Questions.David Sandborg - 1998 - British Journal for the Philosophy of Science 49 (4):603-624.
Gaia Gets to Know Herself: Proclus on the World's Self-Perception.Dirk Baltzly - 2009 - Phronesis 54 (3):261-285.
Gaia Gets to Know Herself : Proclus on the Self-Perception of the Cosmos.Dirk Baltzly - 2009 - Phronesis 54:261-85.
Added to index2009-01-28
Total downloads60 ( #85,104 of 2,154,063 )
Recent downloads (6 months)8 ( #90,702 of 2,154,063 )
How can I increase my downloads?