Combining Texts

All the ideas for 'How to Make our Ideas Clear', 'Logicism, Some Considerations (PhD)' and 'Chapters on Scepticism'

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9 ideas

3. Truth / E. Pragmatic Truth / 1. Pragmatic Truth
Truth is the opinion fated to be ultimately agreed by all investigators [Peirce]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / a. Numbers
Obtaining numbers by abstraction is impossible - there are too many; only a rule could give them, in order [Benacerraf]
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
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
An adequate account of a number must relate it to its series [Benacerraf]
11. Knowledge Aims / A. Knowledge / 2. Understanding
Our whole conception of an object is its possible practical consequences [Peirce]
11. Knowledge Aims / A. Knowledge / 4. Belief / b. Elements of beliefs
We are aware of beliefs, they appease our doubts, and they are rules of action, or habits [Peirce]
15. Nature of Minds / A. Nature of Mind / 4. Other Minds / b. Scepticism of other minds
If we can't know minds, we can't know if Pyrrho was a sceptic [Theodosius, by Diog. Laertius]
19. Language / A. Nature of Meaning / 5. Meaning as Verification
Non-positivist verificationism says only take a hypothesis seriously if it is scientifically based and testable [Ladyman/Ross on Peirce]