Combining Texts

All the ideas for 'Hippias Major', 'On Second-Order Logic' and 'The Journals of Kierkegaard'

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17 ideas

1. Philosophy / D. Nature of Philosophy / 2. Invocation to Philosophy
Fixed ideas should be tackled aggressively [Kierkegaard]
1. Philosophy / F. Analytic Philosophy / 5. Linguistic Analysis
Philosophy can't be unbiased if it ignores language, as that is no more independent than individuals are [Kierkegaard]
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]
21. Aesthetics / A. Aesthetic Experience / 4. Beauty
What is fine is always difficult [Plato]
21. Aesthetics / C. Artistic Issues / 7. Art and Morality
What is fine is the parent of goodness [Plato]
22. Metaethics / B. Value / 2. Values / g. Love
If people marry just because they are lonely, that is self-love, not love [Kierkegaard]
23. Ethics / F. Existentialism / 4. Boredom
Our destiny is the highest pitch of world-weariness [Kierkegaard]
23. Ethics / F. Existentialism / 7. Existential Action
Life may be understood backwards, but it has to be lived forwards [Kierkegaard]
25. Social Practice / F. Life Issues / 5. Sexual Morality
While sex is very pleasant, it should be in secret, as it looks contemptible [Plato]
29. Religion / B. Monotheistic Religion / 4. Christianity / a. Christianity
The best way to be a Christian is without 'Christianity' [Kierkegaard]
We need to see that Christianity cannot be understood [Kierkegaard]