Combining Texts

All the ideas for 'fragments/reports', 'Letters to Mersenne' and 'On 'Insolubilia' and their solution'

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7 ideas

1. Philosophy / G. Scientific Philosophy / 3. Scientism
My Meditations are the complete foundation of my physics [Descartes]
     Full Idea: My six Meditations contain all the foundations of my physics, …and their principles destroy those of Aristotle.
     From: René Descartes (Letters to Mersenne [1640], 1641.01.28)
3. Truth / A. Truth Problems / 2. Defining Truth
Truth is such a transcendentally clear notion that it cannot be further defined [Descartes]
     Full Idea: Truth is such a transcendentally clear notion that it cannot be further defined.
     From: René Descartes (Letters to Mersenne [1640], 1642), quoted by Pascal Engel - Truth Intro
     A reaction: This is the view endorsed by Davidson. It is tempting to take basic concepts as axiomatic, but philosophers can't make that move every time they are in trouble. I have to say, though, that truth is a good candidate.
4. Formal Logic / F. Set Theory ST / 5. Conceptions of Set / c. Logical sets
The 'no classes' theory says the propositions just refer to the members [Russell]
     Full Idea: The contention of the 'no classes' theory is that all significant propositions concerning classes can be regarded as propositions about all or some of their members.
     From: Bertrand Russell (On 'Insolubilia' and their solution [1906], p.200)
     A reaction: Apparently this theory has not found favour with later generations of theorists. I see it in terms of Russell trying to get ontology down to the minimum, in the spirit of Goodman and Quine.
5. Theory of Logic / L. Paradox / 4. Paradoxes in Logic / d. Richard's paradox
Richard's puzzle uses the notion of 'definition' - but that cannot be defined [Russell]
     Full Idea: In Richard's puzzle, we use the notion of 'definition', and this, oddly enough, is not definable, and is indeed not a definite notion at all.
     From: Bertrand Russell (On 'Insolubilia' and their solution [1906], p.209)
     A reaction: The background for this claim is his type theory, which renders certain forms of circular reference meaningless.
5. Theory of Logic / L. Paradox / 6. Paradoxes in Language / a. The Liar paradox
Vicious Circle: what involves ALL must not be one of those ALL [Russell]
     Full Idea: The 'vicious-circle principle' says 'whatever involves an apparent variable must not be among the possible values of that variable', or (less exactly) 'whatever involves ALL must not be one of ALL which it involves.
     From: Bertrand Russell (On 'Insolubilia' and their solution [1906], p.204)
     A reaction: He offers this as a parallel to his 'no classes' principle. That referred to classes, but this refers to propositions, and specifically the Liar Paradox (which he calls the 'Epimenedes').
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?
29. Religion / D. Religious Issues / 2. Immortality / b. Soul
I can't prove the soul is indestructible, only that it is separate from the mortal body [Descartes]
     Full Idea: I don't know how to demonstrate that God cannot annihilate the soul, but only that it is entirely distinct from the body, and consequently that it is not naturally subject to die with it, which is all that is required to establish religion.
     From: René Descartes (Letters to Mersenne [1640], 1640.02.24)