Combining Texts

All the ideas for 'Frege's Theory of Numbers', 'The Analysis of Mind' and 'Cantorian Abstraction: Recon. and Defence'

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12 ideas

5. Theory of Logic / E. Structures of Logic / 4. Variables in Logic
I think of variables as objects rather than as signs [Fine,K]
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]
12. Knowledge Sources / B. Perception / 4. Sense Data / a. Sense-data theory
In 1921 Russell abandoned sense-data, and the gap between sensation and object [Russell, by Grayling]
Seeing is not in itself knowledge, but is separate from what is seen, such as a patch of colour [Russell]
12. Knowledge Sources / B. Perception / 4. Sense Data / d. Sense-data problems
We cannot assume that the subject actually exists, so we cannot distinguish sensations from sense-data [Russell]
12. Knowledge Sources / E. Direct Knowledge / 4. Memory
It is possible the world came into existence five minutes ago, complete with false memories [Russell]
13. Knowledge Criteria / C. External Justification / 3. Reliabilism / b. Anti-reliabilism
Knowledge needs more than a sensitive response; the response must also be appropriate [Russell]
15. Nature of Minds / C. Capacities of Minds / 5. Generalisation by mind
If green is abstracted from a thing, it is only seen as a type if it is common to many things [Fine,K]
16. Persons / E. Rejecting the Self / 4. Denial of the Self
In perception, the self is just a logical fiction demanded by grammar [Russell]
18. Thought / E. Abstraction / 2. Abstracta by Selection
To obtain the number 2 by abstraction, we only want to abstract the distinctness of a pair of objects [Fine,K]
We should define abstraction in general, with number abstraction taken as a special case [Fine,K]
18. Thought / E. Abstraction / 8. Abstractionism Critique
After abstraction all numbers seem identical, so only 0 and 1 will exist! [Fine,K]