Combining Texts

All the ideas for 'poems', 'Causal Connections' and 'Intuitionism: an Introduction'

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3 ideas

6. Mathematics / C. Sources of Mathematics / 6. Logicism / d. Logicism critique
Logic is dependent on mathematics, not the other way round [Heyting, by Shapiro]
     Full Idea: Heyting (the intuitionist pupil of Brouwer) said that 'logic is dependent on mathematics', not the other way round.
     From: report of Arend Heyting (Intuitionism: an Introduction [1956]) by Stewart Shapiro - Thinking About Mathematics 7.3
     A reaction: To me, this claim makes logicism sound much more plausible, as I don't see how mathematics could get beyond basic counting without a capacity for logical thought. Logic runs much deeper, psychologically and metaphysically.
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 / C. Causation / 8. Particular Causation / b. Causal relata
Salmon says processes rather than events should be basic in a theory of physical causation [Salmon, by Psillos]
     Full Idea: Salmon argues that processes rather than events should be the basic entities in a theory of physical causation.
     From: report of Wesley Salmon (Causal Connections [1984]) by Stathis Psillos - Causation and Explanation §4.2
     A reaction: It increasingly strikes me that the concept of a 'process' ought to be ontologically basic. Edelman says the mind is a process. An 'event' is too loose, and a 'fact' too vague, and heaven knows what Hume meant by an 'object'.