Combining Texts

All the ideas for 'Difference and Repetition', 'Set Theory and Its Philosophy' and 'Human Freedom and the Self'

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25 ideas

1. Philosophy / H. Continental Philosophy / 1. Continental Philosophy
21901 'Difference' refers to that which eludes capture [Deleuze, by May]
4. Formal Logic / F. Set Theory ST / 1. Set Theory
10702 Set theory's three roles: taming the infinite, subject-matter of mathematics, and modes of reasoning [Potter]
4. Formal Logic / F. Set Theory ST / 3. Types of Set / b. Empty (Null) Set
10713 Usually the only reason given for accepting the empty set is convenience [Potter]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / f. Axiom of Infinity V
13044 Infinity: There is at least one limit level [Potter]
4. Formal Logic / F. Set Theory ST / 5. Conceptions of Set / e. Iterative sets
10708 Nowadays we derive our conception of collections from the dependence between them [Potter]
4. Formal Logic / F. Set Theory ST / 5. Conceptions of Set / f. Limitation of Size
13546 The 'limitation of size' principles say whether properties collectivise depends on the number of objects [Potter]
4. Formal Logic / G. Formal Mereology / 1. Mereology
10707 Mereology elides the distinction between the cards in a pack and the suits [Potter]
5. Theory of Logic / A. Overview of Logic / 7. Second-Order Logic
10704 We can formalize second-order formation rules, but not inference rules [Potter]
5. Theory of Logic / H. Proof Systems / 3. Proof from Assumptions
10703 Supposing axioms (rather than accepting them) give truths, but they are conditional [Potter]
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / c. Counting procedure
10712 If set theory didn't found mathematics, it is still needed to count infinite sets [Potter]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / d. Peano arithmetic
17882 It is remarkable that all natural number arithmetic derives from just the Peano Axioms [Potter]
7. Existence / A. Nature of Existence / 3. Being / a. Nature of Being
21908 Ontology can be continual creation, not to know being, but to probe the unknowable [Deleuze]
21902 'Being' is univocal, but its subject matter is actually 'difference' [Deleuze]
7. Existence / A. Nature of Existence / 3. Being / i. Deflating being
21903 Ontology does not tell what there is; it is just a strange adventure [Deleuze, by May]
21904 Being is a problem to be engaged, not solved, and needs a new mode of thinking [Deleuze, by May]
8. Modes of Existence / A. Relations / 4. Formal Relations / a. Types of relation
13043 A relation is a set consisting entirely of ordered pairs [Potter]
9. Objects / B. Unity of Objects / 2. Substance / b. Need for substance
13042 If dependence is well-founded, with no infinite backward chains, this implies substances [Potter]
9. Objects / C. Structure of Objects / 8. Parts of Objects / b. Sums of parts
13041 Collections have fixed members, but fusions can be carved in innumerable ways [Potter]
10. Modality / A. Necessity / 1. Types of Modality
10709 Priority is a modality, arising from collections and members [Potter]
16. Persons / F. Free Will / 4. For Free Will
3444 If actions are not caused by other events, and are not causeless, they must be caused by the person [Chisholm]
16. Persons / F. Free Will / 5. Against Free Will
3446 For Hobbes (but not for Kant) a person's actions can be deduced from their desires and beliefs [Chisholm]
9268 If free will miraculously interrupts causation, animals might do that; why would we want to do it? [Frankfurt on Chisholm]
20. Action / C. Motives for Action / 4. Responsibility for Actions
3443 Desires may rule us, but are we responsible for our desires? [Chisholm]
3442 Responsibility seems to conflict with events being either caused or not caused [Chisholm]
26. Natural Theory / C. Causation / 8. Particular Causation / b. Causal relata
3445 Causation among objects relates either events or states [Chisholm]