Combining Texts

All the ideas for 'Notes on John Wilkins', 'Causes and Conditions' and 'First-order Logic, 2nd-order, Completeness'

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
10757 Henkin semantics has a second domain of predicates and relations (in upper case) [Rossberg]
10751 Second-order logic needs the sets, and its consequence has epistemological problems [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 / 14. Knowledge of Essences
12694 Essence is the distinct thinkability of anything [Leibniz]
26. Natural Theory / C. Causation / 8. Particular Causation / a. Observation of causation
8337 Some says mental causation is distinct because we can recognise single occurrences [Mackie]
26. Natural Theory / C. Causation / 8. Particular Causation / b. Causal relata
8342 Mackie tries to analyse singular causal statements, but his entities are too vague for events [Kim on Mackie]
26. Natural Theory / C. Causation / 8. Particular Causation / c. Conditions of causation
8343 Necessity and sufficiency are best suited to properties and generic events, not individual events [Kim on Mackie]
8385 A cause is part of a wider set of conditions which suffices for its effect [Mackie, by Crane]
8335 Necessary conditions are like counterfactuals, and sufficient conditions are like factual conditionals [Mackie]
8336 The INUS account interprets single events, and sequences, causally, without laws being known [Mackie]
26. Natural Theory / C. Causation / 8. Particular Causation / d. Selecting the cause
8333 A cause is an Insufficient but Necessary part of an Unnecessary but Sufficient condition [Mackie]
26. Natural Theory / C. Causation / 9. General Causation / b. Nomological causation
8395 Mackie has a nomological account of general causes, and a subjunctive conditional account of single ones [Mackie, by Tooley]
8334 The virus causes yellow fever, and is 'the' cause; sweets cause tooth decay, but they are not 'the' cause [Mackie]