Combining Texts

All the ideas for 'Frege's Theory of Numbers', 'Neutral Relations' and 'Commentary on the Metaphysics'

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10 ideas

1. Philosophy / E. Nature of Metaphysics / 1. Nature of Metaphysics
Understanding begins with the notion of being and essence [Avicenna]
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / c. Counting procedure
Parsons says counting is tagging as first, second, third..., and converting the last to a cardinal [Parsons,C, by Heck]
8. Modes of Existence / A. Relations / 1. Nature of Relations
The 'standard' view of relations is that they hold of several objects in a given order [Fine,K]
The 'positionalist' view of relations says the number of places is fixed, but not the order [Fine,K]
A block on top of another contains one relation, not both 'on top of' and 'beneath' [Fine,K]
Language imposes a direction on a road which is not really part of the road [Fine,K]
Explain biased relations as orderings of the unbiased, or the unbiased as permutation classes of the biased? [Fine,K]
9. Objects / A. Existence of Objects / 5. Simples
The simple's whatness is its very self [Avicenna]
9. Objects / C. Structure of Objects / 3. Matter of an Object
The ultimate material of things has the unity of total formlessness [Avicenna]
9. Objects / D. Essence of Objects / 2. Types of Essence
An essence can either be universal (in the mind) or singular (in concrete particulars) [Avicenna, by Panaccio]