Combining Texts

All the ideas for 'Science and Method', 'Summa' and 'The Scientific Revolution 1500-1800'

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4 ideas

6. Mathematics / A. Nature of Mathematics / 2. Geometry
One geometry cannot be more true than another [Poincaré]
     Full Idea: One geometry cannot be more true than another; it can only be more convenient.
     From: Henri Poincaré (Science and Method [1908], p.65), quoted by Stewart Shapiro - Philosophy of Mathematics
     A reaction: This is the culminating view after new geometries were developed by tinkering with Euclid's parallels postulate.
9. Objects / B. Unity of Objects / 2. Substance / c. Types of substance
Substances 'substand' (beneath accidents), or 'subsist' (independently) [Eustachius]
     Full Idea: It is proper to substance both to stretch out or exist beneath accidents, which is to substand, and to exist per se and not in another, which is to subsist.
     From: Eustachius a Sancto Paulo (Summa [1609], I.1.3b.1.2), quoted by Robert Pasnau - Metaphysical Themes 1274-1671 06.2
     A reaction: This reflects Aristotle wavering between 'ousia' being the whole of a thing, or the substrate of a thing. In current discussion, 'substance' still wavers between a thing which 'is' a substance, and substance being the essence.
9. Objects / C. Structure of Objects / 2. Hylomorphism / a. Hylomorphism
Prime matter is free of all forms, but has the potential for all forms [Eustachius]
     Full Idea: Everyone says that prime matter, considered in itself, is free of all forms and at the same time is open to all forms - or, that matter is in potentiality to all forms.
     From: Eustachius a Sancto Paulo (Summa [1609], III.1.1.2.3), quoted by Robert Pasnau - Metaphysical Themes 1274-1671 03.1
     A reaction: This is the notorious doctrine developed to support the hylomorphic picture derived from Aristotle. No one could quite figure out what prime matter was, so it faded away.
26. Natural Theory / D. Laws of Nature / 11. Against Laws of Nature
The idea of laws of nature arose in the Middle Ages [Hall,AR, by Ellis]
     Full Idea: According to A.R. Hall, the idea that nature is governed by laws does not appear to have existed in the ancient Greek, Roman or Far Eastern traditions of science, but arose from religious, philosophical and legal ideas in medieval Europe.
     From: report of A.R. Hall (The Scientific Revolution 1500-1800 [1954]) by Brian Ellis - The Philosophy of Nature: new essentialism Ch.5
     A reaction: This is a very illuminating point, which gives good circumstantial support for questioning the existence of external laws which are imposed on a passive nature. Modern essentialism suggest the 'laws' are the intrinsic results of properties.