Combining Texts

All the ideas for 'Propositions', 'First-order Logic, 2nd-order, Completeness' and 'Last Fragments'

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

20 ideas

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 / F. Referring in Logic / 1. Naming / b. Names as descriptive
9455 Maybe proper names have the content of fixing a thing's category [Bealer]
5. Theory of Logic / F. Referring in Logic / 2. Descriptions / b. Definite descriptions
9454 The four leading theories of definite descriptions are Frege's, Russell's, Evans's, and Prior's [Bealer]
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]
14. Science / B. Scientific Theories / 1. Scientific Theory
19594 General statements about nature are not valid [Novalis]
17. Mind and Body / A. Mind-Body Dualism / 8. Dualism of Mind Critique
19596 The whole body is involved in the formation of thoughts [Novalis]
19. Language / D. Propositions / 1. Propositions
9453 Sentences saying the same with the same rigid designators may still express different propositions [Bealer]
9452 Propositions might be reduced to functions (worlds to truth values), or ordered sets of properties and relations [Bealer]
19. Language / D. Propositions / 2. Abstract Propositions / a. Propositions as sense
9451 Modal logic and brain science have reaffirmed traditional belief in propositions [Bealer]
25. Social Practice / E. Policies / 5. Education / d. Study of history
19593 Persons are shaped by a life history; splendid persons are shaped by world history [Novalis]
26. Natural Theory / A. Speculations on Nature / 1. Nature
19595 Nature is a whole, and its individual parts cannot be wholly understood [Novalis]
26. Natural Theory / A. Speculations on Nature / 4. Mathematical Nature
19592 The basic relations of nature are musical [Novalis]