Combining Texts

All the ideas for 'To be is to be the value of a variable..', 'The Beautiful in Music' and 'Rationality and Virtue'

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16 ideas

4. Formal Logic / F. Set Theory ST / 5. Conceptions of Set / a. Sets as existing
The use of plurals doesn't commit us to sets; there do not exist individuals and collections [Boolos]
4. Formal Logic / F. Set Theory ST / 8. Critique of Set Theory
Does a bowl of Cheerios contain all its sets and subsets? [Boolos]
5. Theory of Logic / A. Overview of Logic / 7. Second-Order Logic
Monadic second-order logic might be understood in terms of plural quantifiers [Boolos, by Shapiro]
Boolos showed how plural quantifiers can interpret monadic second-order logic [Boolos, by Linnebo]
Any sentence of monadic second-order logic can be translated into plural first-order logic [Boolos, by Linnebo]
5. Theory of Logic / D. Assumptions for Logic / 4. Identity in Logic
Identity is clearly a logical concept, and greatly enhances predicate calculus [Boolos]
5. Theory of Logic / G. Quantification / 5. Second-Order Quantification
Second-order quantifiers are just like plural quantifiers in ordinary language, with no extra ontology [Boolos, by Shapiro]
5. Theory of Logic / G. Quantification / 6. Plural Quantification
We should understand second-order existential quantifiers as plural quantifiers [Boolos, by Shapiro]
Plural forms have no more ontological commitment than to first-order objects [Boolos]
5. Theory of Logic / G. Quantification / 7. Unorthodox Quantification
Boolos invented plural quantification [Boolos, by Benardete,JA]
7. Existence / D. Theories of Reality / 11. Ontological Commitment / b. Commitment of quantifiers
First- and second-order quantifiers are two ways of referring to the same things [Boolos]
20. Action / C. Motives for Action / 3. Acting on Reason / a. Practical reason
Possessing the virtue of justice disposes a person to good practical rationality [Foot]
21. Aesthetics / C. Artistic Issues / 4. Emotion in Art
Music is not an expressive art, because it expresses no familiar emotions [Hanslick, by Wollheim]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / h. Expressivism
Calling a knife or farmer or speech or root good does not involve attitudes or feelings [Foot]
23. Ethics / C. Virtue Theory / 1. Virtue Theory / b. Basis of virtue
The essential thing is the 'needs' of plants and animals, and their operative parts [Foot]
23. Ethics / C. Virtue Theory / 3. Virtues / c. Justice
Observing justice is necessary to humans, like hunting to wolves or dancing to bees [Foot]