Combining Texts

All the ideas for 'The Case for Closure', 'Cantorian Abstraction: Recon. and Defence' and 'Metaphysical Foundations of Mathematics'

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10 ideas

5. Theory of Logic / E. Structures of Logic / 4. Variables in Logic

9148	I think of variables as objects rather than as signs [Fine,K]

11. Knowledge Aims / B. Certain Knowledge / 2. Common Sense Certainty

19553

Commitment to 'I have a hand' only makes sense in a context where it has been doubted [Hawthorne]

13. Knowledge Criteria / A. Justification Problems / 2. Justification Challenges / c. Knowledge closure

19551

How can we know the heavyweight implications of normal knowledge? Must we distort 'knowledge'? [Hawthorne]

19552

We wouldn't know the logical implications of our knowledge if small risks added up to big risks [Hawthorne]

19554

Denying closure is denying we know P when we know P and Q, which is absurd in simple cases [Hawthorne]

15. Nature of Minds / C. Capacities of Minds / 5. Generalisation by mind

9152	If green is abstracted from a thing, it is only seen as a type if it is common to many things [Fine,K]

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 / 8. Abstractionism Critique

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

27. Natural Reality / D. Time / 2. Passage of Time / g. Time's arrow

22908

When one element contains the grounds of the other, the first one is prior in time [Leibniz]