Combining Texts

All the ideas for 'Brainstorms:Essays on Mind and Psychology', 'In Defence of Pure Reason' and 'Russell's Mathematical Logic'

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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]
2. Reason / D. Definition / 8. Impredicative Definition
10041 Impredicative Definitions refer to the totality to which the object itself belongs [Gödel]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / p. Axiom of Reducibility
21716 In simple type theory the axiom of Separation is better than Reducibility [Gödel, by Linsky,B]
5. Theory of Logic / A. Overview of Logic / 8. Logic of Mathematics
10035 Mathematical Logic is a non-numerical branch of mathematics, and the supreme science [Gödel]
5. Theory of Logic / G. Quantification / 2. Domain of Quantification
10042 Reference to a totality need not refer to a conjunction of all its elements [Gödel]
5. Theory of Logic / K. Features of Logics / 8. Enumerability
10038 A logical system needs a syntactical survey of all possible expressions [Gödel]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / g. Continuum Hypothesis
10046 The generalized Continuum Hypothesis asserts a discontinuity in cardinal numbers [Gödel]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / g. Incompleteness of Arithmetic
10039 Some arithmetical problems require assumptions which transcend arithmetic [Gödel]
6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / a. For mathematical platonism
10043 Mathematical objects are as essential as physical objects are for perception [Gödel]
6. Mathematics / C. Sources of Mathematics / 10. Constructivism / d. Predicativism
10045 Impredicative definitions are admitted into ordinary mathematics [Gödel]
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]
15. Nature of Minds / B. Features of Minds / 4. Intentionality / b. Intentionality theories
3158 Theories of intentionality presuppose rationality, so can't explain it [Dennett]
17. Mind and Body / B. Behaviourism / 3. Intentional Stance
3159 Beliefs and desires aren't real; they are prediction techniques [Dennett]
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]