Combining Texts

All the ideas for 'fragments/reports', 'On Second-Order Logic' and 'Sketch for a Theory of the Emotions'

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15 ideas

5. Theory of Logic / A. Overview of Logic / 7. Second-Order Logic
Boolos reinterprets second-order logic as plural logic [Boolos, by Oliver/Smiley]
Second-order logic metatheory is set-theoretic, and second-order validity has set-theoretic problems [Boolos]
5. Theory of Logic / C. Ontology of Logic / 1. Ontology of Logic
A sentence can't be a truth of logic if it asserts the existence of certain sets [Boolos]
5. Theory of Logic / G. Quantification / 2. Domain of Quantification
'∀x x=x' only means 'everything is identical to itself' if the range of 'everything' is fixed [Boolos]
5. Theory of Logic / K. Features of Logics / 4. Completeness
Weak completeness: if it is valid, it is provable. Strong: it is provable from a set of sentences [Boolos]
5. Theory of Logic / K. Features of Logics / 6. Compactness
Why should compactness be definitive of logic? [Boolos, by Hacking]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / e. Peano arithmetic 2nd-order
Many concepts can only be expressed by second-order logic [Boolos]
15. Nature of Minds / B. Features of Minds / 1. Consciousness / b. Essence of consciousness
Consciousness always transcends itself [Sartre]
18. Thought / A. Modes of Thought / 3. Emotions / a. Nature of emotions
An emotion and its object form a unity, so emotion is a mode of apprehension [Sartre]
Emotion is one of our modes of understanding our Being-in-the-World [Sartre]
18. Thought / A. Modes of Thought / 3. Emotions / c. Role of emotions
Emotions are a sort of bodily incantation which brings a magic to the world [Sartre]
Emotions makes us believe in and live in a new world [Sartre]
19. Language / B. Reference / 1. Reference theories
The Electra: she knows this man, but not that he is her brother [Eucleides, by Diog. Laertius]
22. Metaethics / C. The Good / 1. Goodness / b. Types of good
The chief good is unity, sometimes seen as prudence, or God, or intellect [Eucleides]
24. Political Theory / B. Nature of a State / 1. Purpose of a State
States have a monopoly of legitimate violence [Sartre, by Wolff,J]