Combining Texts

All the ideas for 'fragments/reports', 'Letters to Leibniz' and 'works'

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4 ideas

4. Formal Logic / D. Modal Logic ML / 7. Barcan Formula
No one can conceive of a possible substance, apart from those which God has created [Arnauld]
     Full Idea: I am much mistaken if there is anyone who dares to say that he can conceive of a purely possible substance, …for although one talks so much of them, one never conceives them except according to the notion of those which God has created.
     From: Antoine Arnauld (Letters to Leibniz [1686], 1686.05.13), quoted by David Wiggins - Sameness and Substance 4.2
     A reaction: This idea cashes out in the 'necessitism' of Tim Williamson, and views on the Barcan formulae in modal logic.
5. Theory of Logic / D. Assumptions for Logic / 2. Excluded Middle
Anti-realism needs an intuitionist logic with no law of excluded middle [Dummett, by Miller,A]
     Full Idea: Dummett argues that antirealism implies that classical logic must be given up in favour of some form of intuitionistic logic that does not have the law of excluded middle as a theorem.
     From: report of Michael Dummett (works [1970]) by Alexander Miller - Philosophy of Language 9.4
     A reaction: Only realists can think every proposition is either true or false, even if it is beyond the bounds of our possible knowledge (e.g. tiny details from remote history). Personally I think "Plato had brown eyes" is either true or false.
7. Existence / D. Theories of Reality / 4. Anti-realism
For anti-realists there are no natural distinctions between objects [Dummett, by Benardete,JA]
     Full Idea: Dummett says that anti-realism offers us a picture of reality as an amorphous lump not yet articulated into discrete objects.
     From: report of Michael Dummett (works [1970]) by José A. Benardete - Metaphysics: the logical approach Ch.2
     A reaction: This might be called 'weak' anti-realism, where 'strong' anti-realism is the view that reality is quite unknowable, and possibly non-existent.
21. Aesthetics / C. Artistic Issues / 7. Art and Morality
Musical performance can reveal a range of virtues [Damon of Ath.]
     Full Idea: In singing and playing the lyre, a boy will be likely to reveal not only courage and moderation, but also justice.
     From: Damon (fragments/reports [c.460 BCE], B4), quoted by (who?) - where?