Combining Texts

All the ideas for 'Science and Method', 'Notes on Comments by Fardella' and 'Letters to Mersenne'

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6 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.
6. Mathematics / A. Nature of Mathematics / 2. Geometry
One geometry cannot be more true than another [Poincaré]
     Full Idea: One geometry cannot be more true than another; it can only be more convenient.
     From: Henri Poincaré (Science and Method [1908], p.65), quoted by Stewart Shapiro - Philosophy of Mathematics
     A reaction: This is the culminating view after new geometries were developed by tinkering with Euclid's parallels postulate.
9. Objects / B. Unity of Objects / 1. Unifying an Object / c. Unity as conceptual
To exist and be understood, a multitude must first be reduced to a unity [Leibniz]
     Full Idea: A plurality of things can neither be understood nor can exist unless one first understands the thing that is one, that to which the multitude necessarily reduces.
     From: Gottfried Leibniz (Notes on Comments by Fardella [1690], Prop 3)
     A reaction: Notice that it is our need to understand which imposes the unity on the multitude. It is not just some random fiction, or a meaningless mechanical act of thought.
9. Objects / B. Unity of Objects / 2. Substance / c. Types of substance
Substances are everywhere in matter, like points in a line [Leibniz]
     Full Idea: There are substances everywhere in matter, just as points are everywhere in a line.
     From: Gottfried Leibniz (Notes on Comments by Fardella [1690], Clarif)
     A reaction: Since Leibniz is unlikely to believe in the reality of the points, we must wonder whether he was really committed to this infinity of substances. The more traditional notion of substance is always called 'substantial form' by Leibniz.
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)