Combining Texts

All the ideas for 'Rationality', 'Logicism, Some Considerations (PhD)' and 'Apprehension: reason in absence of Rules'

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11 ideas

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]

6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / a. Numbers

13412

Obtaining numbers by abstraction is impossible - there are too many; only a rule could give them, in order [Benacerraf]

13413

We must explain how we know so many numbers, and recognise ones we haven't met before [Benacerraf]

6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / c. Priority of numbers

13411

If numbers are basically the cardinals (Frege-Russell view) you could know some numbers in isolation [Benacerraf]

6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / a. Structuralism

13415

An adequate account of a number must relate it to its series [Benacerraf]

12. Knowledge Sources / E. Direct Knowledge / 1. Common Sense

22668

Apprehension is a complex intellect grasping the essence of a complex object [Holt,L]

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]