Combining Texts

All the ideas for 'The Nature of Things', 'Counting and the Natural Numbers' and 'Croce and Collingwood'

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13 ideas

4. Formal Logic / F. Set Theory ST / 7. Natural Sets
A class is natural when everybody can spot further members of it [Quinton]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / d. Natural numbers
The essence of natural numbers must reflect all the functions they perform [Sicha]
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / c. Counting procedure
Counting puts an initial segment of a serial ordering 1-1 with some other entities [Sicha]
To know how many, you need a numerical quantifier, as well as equinumerosity [Sicha]
7. Existence / E. Categories / 5. Category Anti-Realism
Extreme nominalists say all classification is arbitrary convention [Quinton]
8. Modes of Existence / B. Properties / 5. Natural Properties
The naturalness of a class depends as much on the observers as on the objects [Quinton]
Properties imply natural classes which can be picked out by everybody [Quinton]
8. Modes of Existence / D. Universals / 4. Uninstantiated Universals
Uninstantiated properties must be defined using the instantiated ones [Quinton]
9. Objects / A. Existence of Objects / 5. Individuation / b. Individuation by properties
An individual is a union of a group of qualities and a position [Quinton, by Campbell,K]
21. Aesthetics / A. Aesthetic Experience / 1. Aesthetics
By 1790 aestheticians were mainly trying to explain individual artistic genius [Kemp]
21. Aesthetics / B. Nature of Art / 4. Art as Expression
Expression can be either necessary for art, or sufficient for art (or even both) [Kemp]
We don't already know what to express, and then seek means of expressing it [Kemp]
The horror expressed in some works of art could equallly be expressed by other means [Kemp]