Combining Philosophers

All the ideas for H.Putnam/P.Oppenheim, Roy Ellen and Paul Bernays

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9 ideas

4. Formal Logic / F. Set Theory ST / 8. Critique of Set Theory
Very few things in set theory remain valid in intuitionist mathematics [Bernays]
6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / a. For mathematical platonism
Restricted Platonism is just an ideal projection of a domain of thought [Bernays]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / d. Logicism critique
Mathematical abstraction just goes in a different direction from logic [Bernays]
7. Existence / E. Categories / 1. Categories
Monothetic categories have fixed defining features, and polythetic categories do not [Ellen]
In symbolic classification, the categories are linked to rules [Ellen]
7. Existence / E. Categories / 2. Categorisation
Several words may label a category; one word can name several categories; some categories lack words [Ellen]
7. Existence / E. Categories / 5. Category Anti-Realism
Continuous experience sometimes needs imposition of boundaries to create categories [Ellen]
13. Knowledge Criteria / E. Relativism / 4. Cultural relativism
Classification is no longer held to be rooted in social institutions [Ellen]
14. Science / D. Explanation / 2. Types of Explanation / j. Explanations by reduction
Six reduction levels: groups, lives, cells, molecules, atoms, particles [Putnam/Oppenheim, by Watson]