Combining Philosophers

All the ideas for H.Putnam/P.Oppenheim, Harold Noonan and Roy Ellen

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15 ideas

6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / c. Counting procedure
It is controversial whether only 'numerical identity' allows two things to be counted as one [Noonan]
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]
9. Objects / E. Objects over Time / 4. Four-Dimensionalism
I could have died at five, but the summation of my adult stages could not [Noonan]
9. Objects / E. Objects over Time / 5. Temporal Parts
Stage theorists accept four-dimensionalism, but call each stage a whole object [Noonan]
9. Objects / F. Identity among Objects / 2. Defining Identity
Problems about identity can't even be formulated without the concept of identity [Noonan]
Identity is usually defined as the equivalence relation satisfying Leibniz's Law [Noonan]
Identity definitions (such as self-identity, or the smallest equivalence relation) are usually circular [Noonan]
Identity can only be characterised in a second-order language [Noonan]
9. Objects / F. Identity among Objects / 8. Leibniz's Law
Indiscernibility is basic to our understanding of identity and distinctness [Noonan]
Leibniz's Law must be kept separate from the substitutivity principle [Noonan]
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]