Combining Texts

All the ideas for 'talk', 'Critical Common-Sensism' and 'Mathematical Explanation'

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6 ideas

9. Objects / B. Unity of Objects / 3. Unity Problems / e. Vague objects
All communication is vague, and is outside the principle of non-contradiction [Peirce]
Vagueness is a neglected but important part of mathematical thought [Peirce]
9. Objects / D. Essence of Objects / 3. Individual Essences
Particular essence is often captured by generality [Steiner,M]
13. Knowledge Criteria / E. Relativism / 2. Knowledge as Convention
By nature people are close to one another, but culture drives them apart [Hippias]
14. Science / D. Explanation / 2. Types of Explanation / e. Lawlike explanations
Maybe an instance of a generalisation is more explanatory than the particular case [Steiner,M]
14. Science / D. Explanation / 2. Types of Explanation / m. Explanation by proof
Explanatory proofs rest on 'characterizing properties' of entities or structure [Steiner,M]