Combining Texts

All the ideas for 'works', 'First-order Logic, 2nd-order, Completeness' and 'Mental Files in Flux'

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19 ideas

5. Theory of Logic / A. Overview of Logic / 4. Pure Logic
22246 A train of reasoning must be treated as all happening simultaneously [Recanati]
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]
6. Mathematics / B. Foundations for Mathematics / 3. Axioms for Geometry
13007 Archimedes defined a straight line as the shortest distance between two points [Archimedes, by Leibniz]
18. Thought / A. Modes of Thought / 9. Indexical Thought
22247 Indexicality is not just a feature of language; examples show it also occurs in thought [Recanati]
22248 How can we communicate indexical thoughts to people not in the right context? [Recanati]
18. Thought / B. Mechanics of Thought / 5. Mental Files
22242 Mental files are concepts, which are either collections or (better) containers [Recanati]
22243 The Frege case of believing a thing is both F and not-F is explained by separate mental files [Recanati]
19. Language / B. Reference / 4. Descriptive Reference / b. Reference by description
22245 A linguistic expression refers to what its associated mental file refers to [Recanati]
19. Language / D. Propositions / 4. Mental Propositions
22250 There are speakers' thoughts and hearers' thoughts, but no further thought attached to the utterance [Recanati]
19. Language / F. Communication / 5. Pragmatics / a. Contextual meaning
22249 The Naive view of communication is that hearers acquire exactly the thoughts of the speaker [Recanati]