Combining Texts

All the ideas for 'Unconscious Cerebral Initiative', 'First-Order Logic' and '21: Book of Ecclesiastes'

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15 ideas

1. Philosophy / A. Wisdom / 3. Wisdom Deflated
In much wisdom is much grief [Anon (Ecc)]
1. Philosophy / D. Nature of Philosophy / 8. Humour
Laughter is mad; of mirth, what doeth it? [Anon (Ecc)]
Sorrow is better than laughter [Anon (Ecc)]
5. Theory of Logic / A. Overview of Logic / 1. Overview of Logic
Logic is the study of sound argument, or of certain artificial languages (or applying the latter to the former) [Hodges,W]
5. Theory of Logic / I. Semantics of Logic / 1. Semantics of Logic
A formula needs an 'interpretation' of its constants, and a 'valuation' of its variables [Hodges,W]
There are three different standard presentations of semantics [Hodges,W]
I |= φ means that the formula φ is true in the interpretation I [Hodges,W]
5. Theory of Logic / J. Model Theory in Logic / 3. Löwenheim-Skolem Theorems
Down Löwenheim-Skolem: if a countable language has a consistent theory, that has a countable model [Hodges,W]
Up Löwenheim-Skolem: if infinite models, then arbitrarily large models [Hodges,W]
5. Theory of Logic / K. Features of Logics / 6. Compactness
If a first-order theory entails a sentence, there is a finite subset of the theory which entails it [Hodges,W]
6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / a. Mathematics is set theory
A 'set' is a mathematically well-behaved class [Hodges,W]
20. Action / B. Preliminaries of Action / 2. Willed Action / a. Will to Act
Libet says the processes initiated in the cortex can still be consciously changed [Libet, by Papineau]
Libet found conscious choice 0.2 secs before movement, well after unconscious 'readiness potential' [Libet, by Lowe]
23. Ethics / C. Virtue Theory / 3. Virtues / a. Virtues
All is vanity, saith the Preacher [Anon (Ecc)]
25. Social Practice / E. Policies / 5. Education / b. Education principles
Books are endless, and study is wearisome [Anon (Ecc)]