Combining Texts

Ideas for 'Axiomatic Theories of Truth (2005 ver)', 'Grundgesetze der Arithmetik 2 (Basic Laws)' and 'Cantorian Abstraction: Recon. and Defence'

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5 ideas

18. Thought / E. Abstraction / 2. Abstracta by Selection

9149	To obtain the number 2 by abstraction, we only want to abstract the distinctness of a pair of objects [Fine,K]

9150	We should define abstraction in general, with number abstraction taken as a special case [Fine,K]

18. Thought / E. Abstraction / 3. Abstracta by Ignoring

9890	The modern account of real numbers detaches a ratio from its geometrical origins [Frege]

18. Thought / E. Abstraction / 8. Abstractionism Critique

9146	After abstraction all numbers seem identical, so only 0 and 1 will exist! [Fine,K]

11846

If we abstract the difference between two houses, they don't become the same house [Frege]