Combining Texts

All the ideas for 'A Completeness Theorem in Modal Logic', 'Concerning the Trinity' and 'Intellectual Autobiography'

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14 ideas

3. Truth / B. Truthmakers / 5. What Makes Truths / a. What makes truths

18901

Truthmakers are facts 'of' a domain, not something 'in' the domain [Sommers]

4. Formal Logic / A. Syllogistic Logic / 3. Term Logic

18904

'Predicable' terms come in charged pairs, with one the negation of the other [Sommers, by Engelbretsen]

18895

Logic which maps ordinary reasoning must be transparent, and free of variables [Sommers]

4. Formal Logic / D. Modal Logic ML / 1. Modal Logic

10163

Propositional modal logic has been proved to be complete [Kripke, by Feferman/Feferman]

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

10760

With possible worlds, S4 and S5 are sound and complete, but S1-S3 are not even sound [Kripke, by Rossberg]

4. Formal Logic / D. Modal Logic ML / 7. Barcan Formula

16189

The variable domain approach to quantified modal logic invalidates the Barcan Formula [Kripke, by Simchen]

15132

The Barcan formulas fail in models with varying domains [Kripke, by Williamson]

5. Theory of Logic / D. Assumptions for Logic / 4. Identity in Logic

18897

Predicate logic has to spell out that its identity relation '=' is an equivalent relation [Sommers]

5. Theory of Logic / E. Structures of Logic / 1. Logical Form

18893

Translating into quantificational idiom offers no clues as to how ordinary thinkers reason [Sommers]

5. Theory of Logic / E. Structures of Logic / 2. Logical Connectives / c. not

18903

Sommers promotes the old idea that negation basically refers to terms [Sommers, by Engelbretsen]

5. Theory of Logic / E. Structures of Logic / 7. Predicates in Logic

18894

Predicates form a hierarchy, from the most general, down to names at the bottom [Sommers]

7. Existence / D. Theories of Reality / 2. Realism

18900

Unfortunately for realists, modern logic cannot say that some fact exists [Sommers]

7. Existence / E. Categories / 1. Categories

16661

There are two sorts of category - referring to things, and to circumstances of things [Boethius]

19. Language / B. Reference / 1. Reference theories

18898

In standard logic, names are the only way to refer [Sommers]