Combining Texts

All the ideas for 'poems', 'Two letters on mind' and 'Mathematical Intuition'

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4 ideas

6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / c. Against mathematical empiricism
General principles can be obvious in mathematics, but bold speculations in empirical science [Parsons,C]
     Full Idea: The existence of very general principles in mathematics are universally regarded as obvious, where on an empiricist view one would expect them to be bold hypotheses, about which a prudent scientist would maintain reserve.
     From: Charles Parsons (Mathematical Intuition [1980], p.152), quoted by Penelope Maddy - Naturalism in Mathematics
     A reaction: This is mainly aimed at Quine's and Putnam's indispensability (to science) argument about mathematics.
8. Modes of Existence / C. Powers and Dispositions / 2. Powers as Basic
Incorporeal substances are powers or forces [Descartes, by Pasnau]
     Full Idea: In one of his last letters Descartes describes incorporeal substances as 'powers or forces'.
     From: report of René Descartes (Two letters on mind [1649], Feb 1649) by Robert Pasnau - Metaphysical Themes 1274-1671 08.4
     A reaction: Only a glimmer, but I really like this idea. (Ellis flirts with it somewhere). Minds are deeply and intrinsically active things. Try ceasing to think for five minutes. Apparently 12th century Cistercian authors were keen on the idea.
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / j. Ethics by convention
Nomos is king [Pindar]
     Full Idea: Nomos is king.
     From: Pindar (poems [c.478 BCE], S 169), quoted by Thomas Nagel - The Philosophical Culture
     A reaction: This seems to be the earliest recorded shot in the nomos-physis wars (the debate among sophists about moral relativism). It sounds as if it carries the full relativist burden - that all that matters is what has been locally decreed.
26. Natural Theory / A. Speculations on Nature / 7. Later Matter Theories / c. Matter as extension
Impenetrability only belongs to the essence of extension [Descartes]
     Full Idea: It is demonstrated that impenetrability belongs to the essence of extension and not to the essence of any other thing.
     From: René Descartes (Two letters on mind [1649], More, Apr 1649), quoted by Robert Pasnau - Metaphysical Themes 1274-1671 15.5
     A reaction: I'm not sure that I understand how pure extension can be impenetrable.