Combining Texts

All the ideas for 'The Origin of the Work of Art', 'New system of communication of substances' and 'Review of Chihara 'Struct. Accnt of Maths''

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12 ideas

1. Philosophy / D. Nature of Philosophy / 5. Aims of Philosophy / b. Philosophy as transcendent
Later Heidegger sees philosophy as more like poetry than like science [Heidegger, by Polt]
6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / a. Mathematics is set theory
Set theory is the standard background for modern mathematics [Burgess]
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / a. Structuralism
Structuralists take the name 'R' of the reals to be a variable ranging over structures, not a structure [Burgess]
There is no one relation for the real number 2, as relations differ in different models [Burgess]
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / e. Structuralism critique
If set theory is used to define 'structure', we can't define set theory structurally [Burgess]
Abstract algebra concerns relations between models, not common features of all the models [Burgess]
How can mathematical relations be either internal, or external, or intrinsic? [Burgess]
8. Modes of Existence / C. Powers and Dispositions / 4. Powers as Essence
My formal unifying atoms are substantial forms, which are forces like appetites [Leibniz]
I call Aristotle's entelechies 'primitive forces', which originate activity [Leibniz]
9. Objects / A. Existence of Objects / 5. Simples
The analysis of things leads to atoms of substance, which found both composition and action [Leibniz]
9. Objects / B. Unity of Objects / 2. Substance / c. Types of substance
Substance must necessarily involve progress and change [Leibniz]
27. Natural Reality / A. Classical Physics / 1. Mechanics / c. Forces
We need the metaphysical notion of force to explain mechanics, and not just extended mass [Leibniz]