Combining Texts

All the ideas for 'On the Question of Absolute Undecidability', 'Selections from Prison Notebooks' and 'Treatise of Human Nature, Appendix'

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24 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]
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]
24. Political Theory / B. Nature of a State / 1. Purpose of a State
20937 The state should produce higher civilisations for all, in tune with the economic apparatus [Gramsci]
24. Political Theory / B. Nature of a State / 2. State Legitimacy / d. General will
20935 Eventually political parties lose touch with the class they represent, which is dangerous [Gramsci]
24. Political Theory / C. Ruling a State / 2. Leaders / a. Autocracy
20936 Caesarism emerges when two forces in society are paralysed in conflict [Gramsci]
24. Political Theory / C. Ruling a State / 2. Leaders / c. Despotism
20941 Totalitarian parties cut their members off from other cultural organisations [Gramsci]
24. Political Theory / C. Ruling a State / 3. Government / a. Government
20939 What is the function of a parliament? Does it even constitute a part of the State structure? [Gramsci]
24. Political Theory / D. Ideologies / 6. Liberalism / g. Liberalism critique
20938 Liberalism's weakness is its powerful rigid bureaucracy [Gramsci]
25. Social Practice / B. Equalities / 2. Political equality
20940 Perfect political equality requires economic equality [Gramsci]
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]