Combining Texts

All the ideas for 'Rationality', 'Some Main Problems of Philosophy' and 'Grundlagen (Foundations of Theory of Manifolds)'

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9 ideas

1. Philosophy / D. Nature of Philosophy / 5. Aims of Philosophy / c. Philosophy as generalisation

17992

The main aim of philosophy is to describe the whole Universe. [Moore,GE]

2. Reason / A. Nature of Reason / 1. On Reason

6950	You can be rational with undetected or minor inconsistencies [Harman]

2. Reason / A. Nature of Reason / 6. Coherence

6954	A coherent conceptual scheme contains best explanations of most of your beliefs [Harman]

4. Formal Logic / F. Set Theory ST / 1. Set Theory

15946

Cantor developed sets from a progression into infinity by addition, multiplication and exponentiation [Cantor, by Lavine]

6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / e. Ordinal numbers

15911

Ordinals are generated by endless succession, followed by a limit ordinal [Cantor, by Lavine]

14. Science / C. Induction / 1. Induction

6955	Enumerative induction is inference to the best explanation [Harman]

14. Science / C. Induction / 3. Limits of Induction

6952	Induction is 'defeasible', since additional information can invalidate it [Harman]

14. Science / C. Induction / 4. Reason in Induction

6953	All reasoning is inductive, and deduction only concerns implication [Harman]

18. Thought / A. Modes of Thought / 5. Rationality / a. Rationality

6951	Ordinary rationality is conservative, starting from where your beliefs currently are [Harman]