Combining Texts

All the ideas for 'Go Figure: a Path through Fictionalism', 'On Second-Order Logic' and 'What is Art?'

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16 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]
7. Existence / D. Theories of Reality / 7. Fictionalism
Fictionalism allows that simulated beliefs may be tracking real facts [Yablo]
10. Modality / E. Possible worlds / 2. Nature of Possible Worlds / b. Worlds as fictions
Governing possible worlds theory is the fiction that if something is possible, it happens in a world [Yablo]
21. Aesthetics / B. Nature of Art / 4. Art as Expression
True works of art transmit completely new feelings [Tolstoy]
Art is when one man uses external signs to hand on his feelings to another man [Tolstoy]
The highest feelings of mankind can only be transmitted by art [Tolstoy]
21. Aesthetics / C. Artistic Issues / 4. Emotion in Art
The purpose of art is to help mankind to evolve better, more socially beneficial feelings [Tolstoy]
21. Aesthetics / C. Artistic Issues / 7. Art and Morality
People estimate art according to their moral values [Tolstoy]
The upper classes put beauty first, and thus freed themselves from morality [Tolstoy]
We separate the concept of beauty from goodness, unlike the ancients [Tolstoy]