Combining Texts

All the ideas for 'On the Elements of Being: I', 'Mathematics and the Metaphysicians' and 'Lewis on Perdurance versus Endurance'

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8 ideas

5. Theory of Logic / L. Paradox / 4. Paradoxes in Logic / a. Achilles paradox
To solve Zeno's paradox, reject the axiom that the whole has more terms than the parts [Russell]
6. Mathematics / A. Nature of Mathematics / 1. Mathematics
In mathematic we are ignorant of both subject-matter and truth [Russell]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / b. Mark of the infinite
A collection is infinite if you can remove some terms without diminishing its number [Russell]
7. Existence / B. Change in Existence / 1. Nature of Change
Maybe particles are unchanging, and intrinsic change in things is their rearrangement [Lowe, by Lewis]
8. Modes of Existence / B. Properties / 13. Tropes / a. Nature of tropes
A 'trope' is an abstract particular, the occurrence of an essence [Williams,DC]
A world is completely constituted by its tropes and their connections [Williams,DC]
'Socrates is wise' means a concurrence sum contains a member of a similarity set [Williams,DC]
12. Knowledge Sources / A. A Priori Knowledge / 2. Self-Evidence
Self-evidence is often a mere will-o'-the-wisp [Russell]