Combining Texts

All the ideas for 'Science and Method', 'Notes on Comments by Fardella' and 'works'

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4 ideas

1. Philosophy / H. Continental Philosophy / 2. Phenomenology
If phenomenology is deprived of the synthetic a priori, it is reduced to literature [Benardete,JA on Husserl]
     Full Idea: Sternly envisaged by Husserl as a scientific discipline, phenomenology, on being stripped of the synthetic a priori by the logical positivists, ends up in Sartre as a largely literary undertaking.
     From: comment on Edmund Husserl (works [1898]) by José A. Benardete - Metaphysics: the logical approach Ch.18
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.