Combining Texts

All the ideas for 'Mahaprajnaparamitashastra', 'A Defense of Presentism' and 'Set Theory and Its Philosophy'

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28 ideas

1. Philosophy / G. Scientific Philosophy / 3. Scientism
14001 People who use science to make philosophical points don't realise how philosophical science is [Markosian]
3. Truth / B. Truthmakers / 9. Making Past Truths
13991 Presentism has the problem that if Socrates ceases to exist, so do propositions about him [Markosian]
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]
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]
10. Modality / E. Possible worlds / 2. Nature of Possible Worlds / a. Nature of possible worlds
14002 Possible worlds must be abstract, because two qualitatively identical worlds are just one world [Markosian]
19. Language / A. Nature of Meaning / 4. Meaning as Truth-Conditions
14000 'Grabby' truth conditions first select their object, unlike 'searchy' truth conditions [Markosian]
23. Ethics / C. Virtue Theory / 3. Virtues / a. Virtues
7903 The six perfections are giving, morality, patience, vigour, meditation, and wisdom [Nagarjuna]
27. Natural Reality / D. Time / 1. Nature of Time / h. Presentism
13990 Presentism is the view that only present objects exist [Markosian]
13992 Presentism says if objects don't exist now, we can't have attitudes to them or relations with them [Markosian]
13994 Presentism seems to entail that we cannot talk about other times [Markosian]
13995 Serious Presentism says things must exist to have relations and properties; Unrestricted version denies this [Markosian]
13996 Maybe Presentists can refer to the haecceity of a thing, after the thing itself disappears [Markosian]
13997 Maybe Presentists can paraphrase singular propositions about the past [Markosian]
13993 Special Relativity denies the absolute present which Presentism needs [Markosian]
27. Natural Reality / D. Time / 2. Passage of Time / k. Temporal truths
13998 Objects in the past, like Socrates, are more like imaginary objects than like remote spatial objects [Markosian]
13999 People are mistaken when they think 'Socrates was a philosopher' says something [Markosian]