Combining Texts

All the ideas for 'Isagoge ('Introduction')', 'works' and 'Plato on Parts and Wholes'

expand these ideas     |    start again     |     specify just one area for these texts


12 ideas

2. Reason / F. Fallacies / 7. Ad Hominem
An ad hominem refutation is reasonable, if it uses the opponent's assumptions [Harte,V]
4. Formal Logic / G. Formal Mereology / 1. Mereology
Mereology began as a nominalist revolt against the commitments of set theory [Harte,V]
6. Mathematics / A. Nature of Mathematics / 1. Mathematics
Hilbert wanted to prove the consistency of all of mathematics (which realists take for granted) [Hilbert, by Friend]
6. Mathematics / C. Sources of Mathematics / 7. Formalism
The grounding of mathematics is 'in the beginning was the sign' [Hilbert]
Hilbert substituted a syntactic for a semantic account of consistency [Hilbert, by George/Velleman]
6. Mathematics / C. Sources of Mathematics / 8. Finitism
Hilbert aimed to prove the consistency of mathematics finitely, to show infinities won't produce contradictions [Hilbert, by George/Velleman]
7. Existence / B. Change in Existence / 1. Nature of Change
Traditionally, the four elements are just what persists through change [Harte,V]
8. Modes of Existence / D. Universals / 1. Universals
Are genera and species real or conceptual? bodies or incorporeal? in sensibles or separate from them? [Porphyry]
9. Objects / C. Structure of Objects / 6. Constitution of an Object
Mereology treats constitution as a criterion of identity, as shown in the axiom of extensionality [Harte,V]
9. Objects / C. Structure of Objects / 8. Parts of Objects / b. Sums of parts
What exactly is a 'sum', and what exactly is 'composition'? [Harte,V]
If something is 'more than' the sum of its parts, is the extra thing another part, or not? [Harte,V]
The problem with the term 'sum' is that it is singular [Harte,V]