Combining Texts

All the ideas for 'Euthyphro', 'On the Question of Absolute Undecidability' and 'Treatise of Human Nature, Appendix'

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20 ideas

4. Formal Logic / F. Set Theory ST / 1. Set Theory
17884 Mathematical set theory has many plausible stopping points, such as finitism, and predicativism [Koellner]
17893 'Reflection principles' say the whole truth about sets can't be captured [Koellner]
5. Theory of Logic / K. Features of Logics / 5. Incompleteness
17894 We have no argument to show a statement is absolutely undecidable [Koellner]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / i. Cardinal infinity
17890 There are at least eleven types of large cardinal, of increasing logical strength [Koellner]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / d. Peano arithmetic
17887 PA is consistent as far as we can accept, and we expand axioms to overcome limitations [Koellner]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / g. Incompleteness of Arithmetic
17891 Arithmetical undecidability is always settled at the next stage up [Koellner]
11. Knowledge Aims / A. Knowledge / 4. Belief / d. Cause of beliefs
20189 Belief is a feeling, independent of the will, which arises from uncontrolled and unknown causes [Hume]
12. Knowledge Sources / D. Empiricism / 1. Empiricism
21309 A proposition cannot be intelligible or consistent, if the perceptions are not so [Hume]
13. Knowledge Criteria / E. Relativism / 6. Relativism Critique
335 Do the gods also hold different opinions about what is right and honourable? [Plato]
15. Nature of Minds / C. Capacities of Minds / 7. Seeing Resemblance
15755 Hume needs a notion which includes degrees of resemblance [Shoemaker on Hume]
16. Persons / B. Nature of the Self / 5. Self as Associations
5323 Experiences are logically separate, but factually linked by simultaneity or a feeling of continuousness [Ayer on Hume]
16. Persons / D. Continuity of the Self / 2. Mental Continuity / b. Self as mental continuity
21311 Are self and substance the same? Then how can self remain if substance changes? [Hume]
16. Persons / D. Continuity of the Self / 2. Mental Continuity / c. Inadequacy of mental continuity
21312 Perceptions are distinct, so no connection between them can ever be discovered [Hume]
16. Persons / E. Rejecting the Self / 4. Denial of the Self
21308 We have no impression of the self, and we therefore have no idea of it [Hume]
21310 Does an oyster with one perception have a self? Would lots of perceptions change that? [Hume]
22. Metaethics / B. Value / 2. Values / g. Love
23115 We have no natural love of mankind, other than through various relationships [Hume]
26. Natural Theory / C. Causation / 9. General Causation / a. Constant conjunction
16946 Causation is just invariance, as long as it is described in general terms [Quine on Hume]
15250 If impressions, memories and ideas only differ in vivacity, nothing says it is memory, or repetition [Whitehead on Hume]
28. God / A. Divine Nature / 6. Divine Morality / b. Euthyphro question
336 Is what is pious loved by the gods because it is pious, or is it pious because they love it? (the 'Euthyphro Question') [Plato]
337 It seems that the gods love things because they are pious, rather than making them pious by loving them [Plato]