Combining Texts

All the ideas for 'To be is to be the value of a variable..', 'Experimental Researches in Electricity' and 'Intro to 'Philosophy of Logic''

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18 ideas

4. Formal Logic / D. Modal Logic ML / 3. Modal Logic Systems / a. Systems of modal logic

9456	Modal logic is multiple systems, shown in the variety of accessibility relations between worlds [Jacquette]

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 / 1. Overview of Logic

9457	The two main views in philosophy of logic are extensionalism and intensionalism [Jacquette]

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]

5. Theory of Logic / I. Semantics of Logic / 5. Extensionalism

9458	Extensionalists say that quantifiers presuppose the existence of their objects [Jacquette]

5. Theory of Logic / I. Semantics of Logic / 6. Intensionalism

9461	Intensionalists say meaning is determined by the possession of properties [Jacquette]

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]

19. Language / C. Assigning Meanings / 7. Extensional Semantics

9460	Extensionalist semantics forbids reference to nonexistent objects [Jacquette]

9459	Extensionalist semantics is circular, as we must know the extension before assessing 'Fa' [Jacquette]

27. Natural Reality / B. Modern Physics / 2. Electrodynamics / b. Fields

15314

Faraday's single field of variable forces introduces a criterion of Unity into what is ultimate [Faraday, by Harré/Madden]