Combining Texts

All the ideas for 'Go Figure: a Path through Fictionalism', 'On Second-Order Logic' and 'The Sovereignty of Good'

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24 ideas

1. Philosophy / D. Nature of Philosophy / 2. Invocation to Philosophy
An unexamined life can be virtuous [Murdoch]
1. Philosophy / D. Nature of Philosophy / 5. Aims of Philosophy / d. Philosophy as puzzles
Philosophy must keep returning to the beginning [Murdoch]
1. Philosophy / E. Nature of Metaphysics / 3. Metaphysical Systems
Philosophy moves continually between elaborate theories and the obvious facts [Murdoch]
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 / 8. The Arts / b. Literature
Literature is the most important aspect of culture, because it teaches understanding of living [Murdoch]
21. Aesthetics / C. Artistic Issues / 7. Art and Morality
Appreciating beauty in art or nature opens up the good life, by restricting selfishness [Murdoch]
22. Metaethics / B. Value / 2. Values / g. Love
Ordinary human love is good evidence of transcendent goodness [Murdoch]
Love is a central concept in morals [Murdoch]
23. Ethics / C. Virtue Theory / 1. Virtue Theory / c. Particularism
If I attend properly I will have no choices [Murdoch]
23. Ethics / C. Virtue Theory / 2. Elements of Virtue Theory / d. Teaching virtue
Art trains us in the love of virtue [Murdoch]
It is hard to learn goodness from others, because their virtues are part of their personal history [Murdoch]
23. Ethics / C. Virtue Theory / 2. Elements of Virtue Theory / j. Unity of virtue
Moral reflection and experience gradually reveals unity in the moral world [Murdoch]
Only trivial virtues can be possessed on their own [Murdoch]
23. Ethics / F. Existentialism / 7. Existential Action
Only a philosopher might think choices create values [Murdoch]
Kantian existentialists care greatly for reasons for action, whereas Surrealists care nothing [Murdoch]
28. God / A. Divine Nature / 6. Divine Morality / c. God is the good
Moral philosophy needs a central concept with all the traditional attributes of God [Murdoch]