Combining Texts

All the ideas for 'Mahaprajnaparamitashastra', 'Homeostasis, Species and Higher Taxa' and 'Consciousness, Philosophy and Mathematics'

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4 ideas

6. Mathematics / C. Sources of Mathematics / 10. Constructivism / b. Intuitionism
Intuitionist mathematics deduces by introspective construction, and rejects unknown truths [Brouwer]
     Full Idea: Mathematics rigorously treated from the point of view of deducing theorems exclusively by means of introspective construction, is called intuitionistic mathematics. It deviates from classical mathematics, which believes in unknown truths.
     From: Luitzen E.J. Brouwer (Consciousness, Philosophy and Mathematics [1948]), quoted by Stewart Shapiro - Thinking About Mathematics 1.2
     A reaction: Clearly intuitionist mathematics is a close cousin of logical positivism and the verification principle. This view would be anathema to Frege, because it is psychological. Personally I believe in the existence of unknown truths, big time!
23. Ethics / C. Virtue Theory / 3. Virtues / a. Virtues
The six perfections are giving, morality, patience, vigour, meditation, and wisdom [Nagarjuna]
     Full Idea: The six perfections are of giving, morality, patience, vigour, meditation, and wisdom.
     From: Nagarjuna (Mahaprajnaparamitashastra [c.120], 88)
     A reaction: What is 'morality', if giving is not part of it? I like patience and vigour being two of the virtues, which immediately implies an Aristotelian mean (which is always what is 'appropriate').
26. Natural Theory / B. Natural Kinds / 4. Source of Kinds
The properties of an electron can't be explained just as 'clustering' [Chakravartty on Boyd]
     Full Idea: Boyd's homeostatic mechanisms are not responsible for the co-instantiation of the mass, charge and spin of an electron.
     From: comment on Richard Boyd (Homeostasis, Species and Higher Taxa [1999]) by Anjan Chakravarrty - Inessential Aristotle: Powers without Essences 3
     A reaction: I would have thought that no one has the foggiest idea (unless I have missed something?) about why electrons have those three properties. What is it about electrons that makes them do that? Explanations always run out somewhere. Substratum!
Properties cluster together, either because of intrinsic relations, or because of an underlying process [Boyd, by Chakravartty]
     Full Idea: Boyd analyses 'sociability' between properties in terms of 'homeostasis', as causal relations between properties that favour clustering, or underlying processes that favour coinstantiation, or both.
     From: report of Richard Boyd (Homeostasis, Species and Higher Taxa [1999]) by Anjan Chakravarrty - Inessential Aristotle: Powers without Essences 3
     A reaction: Chakravarty criticises this claim, by Boyd is clearly onto something. If, like me, you think natural kinds are overrated, you have to like his view.