Combining Texts

All the ideas for 'First-order Logic, 2nd-order, Completeness', 'On the spiritual perfection of life' and 'Significance of the Kripkean Nec A Posteriori'

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17 ideas

1. Philosophy / C. History of Philosophy / 5. Modern Philosophy / c. Modern philosophy mid-period
13966 Analytic philosophy loved the necessary a priori analytic, linguistic modality, and rigour [Soames]
1. Philosophy / F. Analytic Philosophy / 5. Linguistic Analysis
13974 If philosophy is analysis of meaning, available to all competent speakers, what's left for philosophers? [Soames]
2. Reason / C. Styles of Reason / 1. Dialectic
22102 Arguing with opponents uncovers truths, and restrains falsehoods [Aquinas]
5. Theory of Logic / A. Overview of Logic / 7. Second-Order Logic
10751 Second-order logic needs the sets, and its consequence has epistemological problems [Rossberg]
10757 Henkin semantics has a second domain of predicates and relations (in upper case) [Rossberg]
10759 There are at least seven possible systems of semantics for second-order logic [Rossberg]
5. Theory of Logic / B. Logical Consequence / 2. Types of Consequence
10753 Logical consequence is intuitively semantic, and captured by model theory [Rossberg]
5. Theory of Logic / B. Logical Consequence / 3. Deductive Consequence |-
10752 Γ |- S says S can be deduced from Γ; Γ |= S says a good model for Γ makes S true [Rossberg]
5. Theory of Logic / E. Structures of Logic / 1. Logical Form
10754 In proof-theory, logical form is shown by the logical constants [Rossberg]
5. Theory of Logic / J. Model Theory in Logic / 1. Logical Models
10756 A model is a domain, and an interpretation assigning objects, predicates, relations etc. [Rossberg]
5. Theory of Logic / J. Model Theory in Logic / 2. Isomorphisms
10758 If models of a mathematical theory are all isomorphic, it is 'categorical', with essentially one model [Rossberg]
5. Theory of Logic / K. Features of Logics / 4. Completeness
10761 Completeness can always be achieved by cunning model-design [Rossberg]
5. Theory of Logic / K. Features of Logics / 5. Incompleteness
10755 A deductive system is only incomplete with respect to a formal semantics [Rossberg]
9. Objects / D. Essence of Objects / 7. Essence and Necessity / a. Essence as necessary properties
13969 Kripkean essential properties and relations are necessary, in all genuinely possible worlds [Soames]
10. Modality / C. Sources of Modality / 3. Necessity by Convention
13973 A key achievement of Kripke is showing that important modalities are not linguistic in source [Soames]
10. Modality / E. Possible worlds / 2. Nature of Possible Worlds / a. Nature of possible worlds
13968 Kripkean possible worlds are abstract maximal states in which the real world could have been [Soames]
19. Language / C. Assigning Meanings / 10. Two-Dimensional Semantics
13972 Two-dimensionalism reinstates descriptivism, and reconnects necessity and apriority to analyticity [Soames]