Combining Texts

All the ideas for 'Mahaprajnaparamitashastra', 'What are Sets and What are they For?' and 'In Defence of Pure Reason'

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26 ideas

1. Philosophy / D. Nature of Philosophy / 1. Philosophy
3695 Philosophy is a priori if it is anything [Bonjour]
2. Reason / A. Nature of Reason / 3. Pure Reason
3651 Perceiving necessary connections is the essence of reasoning [Bonjour]
2. Reason / A. Nature of Reason / 6. Coherence
3700 Coherence can't be validated by appeal to coherence [Bonjour]
4. Formal Logic / F. Set Theory ST / 3. Types of Set / b. Empty (Null) Set
14239 The empty set is usually derived from Separation, but it also seems to need Infinity [Oliver/Smiley]
14240 The empty set is something, not nothing! [Oliver/Smiley]
14241 We don't need the empty set to express non-existence, as there are other ways to do that [Oliver/Smiley]
14242 Maybe we can treat the empty set symbol as just meaning an empty term [Oliver/Smiley]
4. Formal Logic / F. Set Theory ST / 3. Types of Set / c. Unit (Singleton) Sets
14243 The unit set may be needed to express intersections that leave a single member [Oliver/Smiley]
5. Theory of Logic / G. Quantification / 6. Plural Quantification
14234 If you only refer to objects one at a time, you need sets in order to refer to a plurality [Oliver/Smiley]
14237 We can use plural language to refer to the set theory domain, to avoid calling it a 'set' [Oliver/Smiley]
5. Theory of Logic / I. Semantics of Logic / 3. Logical Truth
14245 Logical truths are true no matter what exists - but predicate calculus insists that something exists [Oliver/Smiley]
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / g. Applying mathematics
14246 If mathematics purely concerned mathematical objects, there would be no applied mathematics [Oliver/Smiley]
6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / a. Mathematics is set theory
14247 Sets might either represent the numbers, or be the numbers, or replace the numbers [Oliver/Smiley]
10. Modality / B. Possibility / 1. Possibility
3697 The concept of possibility is prior to that of necessity [Bonjour]
12. Knowledge Sources / C. Rationalism / 1. Rationalism
3704 Moderate rationalists believe in fallible a priori justification [Bonjour]
3707 Our rules of thought can only be judged by pure rational insight [Bonjour]
13. Knowledge Criteria / B. Internal Justification / 4. Foundationalism / d. Rational foundations
3696 A priori justification requires understanding but no experience [Bonjour]
3703 You can't explain away a priori justification as analyticity, and you can't totally give it up [Bonjour]
3706 A priori justification can vary in degree [Bonjour]
13. Knowledge Criteria / B. Internal Justification / 4. Foundationalism / f. Foundationalism critique
3699 The induction problem blocks any attempted proof of physical statements [Bonjour]
13. Knowledge Criteria / C. External Justification / 1. External Justification
3701 Externalist theories of justification don't require believers to have reasons for their beliefs [Bonjour]
13. Knowledge Criteria / C. External Justification / 10. Anti External Justification
3702 Externalism means we have no reason to believe, which is strong scepticism [Bonjour]
14. Science / C. Induction / 2. Aims of Induction
3709 Induction must go beyond the evidence, in order to explain why the evidence occurred [Bonjour]
18. Thought / C. Content / 1. Content
3708 All thought represents either properties or indexicals [Bonjour]
19. Language / F. Communication / 6. Interpreting Language / b. Indeterminate translation
3698 Indeterminacy of translation is actually indeterminacy of meaning and belief [Bonjour]
23. Ethics / C. Virtue Theory / 3. Virtues / a. Virtues
7903 The six perfections are giving, morality, patience, vigour, meditation, and wisdom [Nagarjuna]