Combining Texts

All the ideas for 'fragments/reports', 'Comments on a Certain Broadsheet' and 'To be is to be the value of a variable..'

expand these ideas     |    start again     |     specify just one area for these texts

---

15 ideas

4. Formal Logic / F. Set Theory ST / 5. Conceptions of Set / a. Sets as existing

7785	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

10699

Does a bowl of Cheerios contain all its sets and subsets? [Boolos]

5. Theory of Logic / A. Overview of Logic / 7. Second-Order Logic

10225

Monadic second-order logic might be understood in terms of plural quantifiers [Boolos, by Shapiro]

10736

Boolos showed how plural quantifiers can interpret monadic second-order logic [Boolos, by Linnebo]

10780

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

10697

Identity is clearly a logical concept, and greatly enhances predicate calculus [Boolos]

5. Theory of Logic / G. Quantification / 5. Second-Order Quantification

13671

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

10267

We should understand second-order existential quantifiers as plural quantifiers [Boolos, by Shapiro]

10698

Plural forms have no more ontological commitment than to first-order objects [Boolos]

5. Theory of Logic / G. Quantification / 7. Unorthodox Quantification

7806	Boolos invented plural quantification [Boolos, by Benardete,JA]

7. Existence / D. Theories of Reality / 11. Ontological Commitment / b. Commitment of quantifiers

10700

First- and second-order quantifiers are two ways of referring to the same things [Boolos]

12. Knowledge Sources / A. A Priori Knowledge / 4. A Priori as Necessities

2602	What experience could prove 'If a=c and b=c then a=b'? [Descartes]

18. Thought / D. Concepts / 2. Origin of Concepts / c. Nativist concepts

2600	The mind's innate ideas are part of its capacity for thought [Descartes]

2601	Qualia must be innate, because physical motions do not contain them [Descartes]

21. Aesthetics / C. Artistic Issues / 7. Art and Morality

468	Musical performance can reveal a range of virtues [Damon of Ath.]