Combining Texts

All the ideas for 'Unconscious Cerebral Initiative', 'First-Order Logic' and 'Seven Types of Atheism'

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15 ideas

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]
28. God / C. Attitudes to God / 5. Atheism
Free atheism should start by questioning its faith in humanity [Gray]
29. Religion / A. Polytheistic Religion / 4. Dualist Religion
Gnosticism has a supreme creator God, giving way to a possibly hostile Demiurge [Gray]
29. Religion / B. Monotheistic Religion / 2. Judaism
Judaism only became monotheistic around 550 BCE [Gray]
29. Religion / B. Monotheistic Religion / 4. Christianity / a. Christianity
Christians introduced the idea that a religion needs a creed [Gray]
29. Religion / C. Spiritual Disciplines / 3. Buddhism
Buddhism has no divinity or souls, and the aim is to lose the illusion of a self [Gray]