Combining Texts

All the ideas for 'In Defence of Pure Reason', 'Investigations into Logical Deduction' and 'A Subject with No Object'

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31 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]
3. Truth / H. Deflationary Truth / 2. Deflationary Truth
9921 'True' is only occasionally useful, as in 'everything Fermat believed was true' [Burgess/Rosen]
4. Formal Logic / D. Modal Logic ML / 1. Modal Logic
9924 Modal logic gives an account of metalogical possibility, not metaphysical possibility [Burgess/Rosen]
4. Formal Logic / F. Set Theory ST / 5. Conceptions of Set / d. Naïve logical sets
9933 The paradoxes are only a problem for Frege; Cantor didn't assume every condition determines a set [Burgess/Rosen]
4. Formal Logic / G. Formal Mereology / 1. Mereology
9928 Mereology implies that acceptance of entities entails acceptance of conglomerates [Burgess/Rosen]
5. Theory of Logic / E. Structures of Logic / 6. Relations in Logic
9926 A relation is either a set of sets of sets, or a set of sets [Burgess/Rosen]
5. Theory of Logic / H. Proof Systems / 4. Natural Deduction
13832 Natural deduction shows the heart of reasoning (and sequent calculus is just a tool) [Gentzen, by Hacking]
5. Theory of Logic / L. Paradox / 5. Paradoxes in Set Theory / a. Set theory paradoxes
9932 The paradoxes no longer seem crucial in critiques of set theory [Burgess/Rosen]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / a. Numbers
9923 We should talk about possible existence, rather than actual existence, of numbers [Burgess/Rosen]
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / c. Nominalist structuralism
9925 Structuralism and nominalism are normally rivals, but might work together [Burgess/Rosen]
6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / b. Against mathematical platonism
9934 Number words became nouns around the time of Plato [Burgess/Rosen]
7. Existence / C. Structure of Existence / 7. Abstract/Concrete / a. Abstract/concrete
9918 Abstract/concrete is a distinction of kind, not degree [Burgess/Rosen]
9929 Much of what science says about concrete entities is 'abstraction-laden' [Burgess/Rosen]
7. Existence / C. Structure of Existence / 7. Abstract/Concrete / b. Levels of abstraction
9927 Mathematics has ascended to higher and higher levels of abstraction [Burgess/Rosen]
9930 Abstraction is on a scale, of sets, to attributes, to type-formulas, to token-formulas [Burgess/Rosen]
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]
18. Thought / E. Abstraction / 2. Abstracta by Selection
9919 The old debate classified representations as abstract, not entities [Burgess/Rosen]
19. Language / F. Communication / 6. Interpreting Language / b. Indeterminate translation
3698 Indeterminacy of translation is actually indeterminacy of meaning and belief [Bonjour]
27. Natural Reality / C. Space / 2. Space
9922 If space is really just a force-field, then it is a physical entity [Burgess/Rosen]