Combining Texts

All the ideas for 'The Architecture of Mathematics', 'How to Russell a Frege-Church' and 'Plato on Parts and Wholes'

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12 ideas

2. Reason / F. Fallacies / 7. Ad Hominem
15842 An ad hominem refutation is reasonable, if it uses the opponent's assumptions [Harte,V]
4. Formal Logic / G. Formal Mereology / 1. Mereology
15841 Mereology began as a nominalist revolt against the commitments of set theory [Harte,V]
5. Theory of Logic / F. Referring in Logic / 2. Descriptions / c. Theory of definite descriptions
11989 For Russell, expressions dependent on contingent circumstances must be eliminated [Kaplan]
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / a. Structuralism
10190 From the axiomatic point of view, mathematics is a storehouse of abstract structures [Bourbaki]
7. Existence / B. Change in Existence / 1. Nature of Change
15858 Traditionally, the four elements are just what persists through change [Harte,V]
9. Objects / C. Structure of Objects / 6. Constitution of an Object
15848 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
15837 What exactly is a 'sum', and what exactly is 'composition'? [Harte,V]
15839 If something is 'more than' the sum of its parts, is the extra thing another part, or not? [Harte,V]
15838 The problem with the term 'sum' is that it is singular [Harte,V]
10. Modality / E. Possible worlds / 3. Transworld Objects / d. Haecceitism
11990 'Haecceitism' says that sameness or difference of individuals is independent of appearances [Kaplan]
9668 'Haecceitism' is common thisness under dissimilarity, or distinct thisnesses under resemblance [Kaplan]
11991 If quantification into modal contexts is legitimate, that seems to imply some form of haecceitism [Kaplan]