Combining Texts

All the ideas for 'Reportatio', 'The Art of the Infinite' and 'Daniel Dennett on himself'

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13 ideas

4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / j. Axiom of Choice IX
Using Choice, you can cut up a small ball and make an enormous one from the pieces [Kaplan/Kaplan]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / b. Types of number
1 and 0, then add for naturals, subtract for negatives, divide for rationals, take roots for irrationals [Kaplan/Kaplan]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / g. Real numbers
The rationals are everywhere - the irrationals are everywhere else [Kaplan/Kaplan]
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / f. Arithmetic
'Commutative' laws say order makes no difference; 'associative' laws say groupings make no difference [Kaplan/Kaplan]
'Distributive' laws say if you add then multiply, or multiply then add, you get the same result [Kaplan/Kaplan]
14. Science / C. Induction / 3. Limits of Induction
The first million numbers confirm that no number is greater than a million [Kaplan/Kaplan]
17. Mind and Body / B. Behaviourism / 3. Intentional Stance
The 'intentional stance' is a way of interpreting an entity by assuming it is rational and self-aware [Dennett]
18. Thought / A. Modes of Thought / 4. Folk Psychology
Like the 'centre of gravity', desires and beliefs are abstract concepts with no actual existence [Dennett]
18. Thought / C. Content / 9. Conceptual Role Semantics
The nature of content is entirely based on its functional role [Dennett]
25. Social Practice / E. Policies / 5. Education / b. Education principles
Learning is evolution in the brain [Dennett]
27. Natural Reality / G. Biology / 1. Biology
Biology is a type of engineering, not a search for laws of nature [Dennett]
28. God / A. Divine Nature / 3. Divine Perfections
God is not wise, but more-than-wise; God is not good, but more-than-good [William of Ockham]
28. God / C. Attitudes to God / 4. God Reflects Humanity
We could never form a concept of God's wisdom if we couldn't abstract it from creatures [William of Ockham]