Combining Texts

All the ideas for 'Cours d'Analyse', 'The Case for Closure' and 'Computing Machinery and Intelligence'

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8 ideas

6. Mathematics / A. Nature of Mathematics / 5. The Infinite / k. Infinitesimals

18085

Values that approach zero, becoming less than any quantity, are 'infinitesimals' [Cauchy]

6. Mathematics / A. Nature of Mathematics / 5. The Infinite / l. Limits

18084

When successive variable values approach a fixed value, that is its 'limit' [Cauchy]

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]

18. Thought / B. Mechanics of Thought / 6. Artificial Thought / b. Turing Machines

3979	The Turing Machine is the best idea yet about how the mind works [Fodor on Turing]

18. Thought / B. Mechanics of Thought / 6. Artificial Thought / c. Turing Test

5321	In 50 years computers will successfully imitate humans with a 70% success rate [Turing]