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Ideas for 'fragments/reports', 'Beitrage' and 'Logicism in the 21st Century'

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18. Thought / E. Abstraction / 2. Abstracta by Selection
We form the image of a cardinal number by a double abstraction, from the elements and from their order [Cantor]
18. Thought / E. Abstraction / 7. Abstracta by Equivalence
One first-order abstraction principle is Frege's definition of 'direction' in terms of parallel lines [Hale/Wright]