Combining Texts

All the ideas for 'Quaestiones de Potentia Dei', 'The Limits of Reason' and 'First-order Logic, 2nd-order, Completeness'

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20 ideas

3. Truth / B. Truthmakers / 11. Truthmaking and Correspondence
18696 The vagueness of truthmaker claims makes it easier to run anti-realist arguments [Button]
3. Truth / D. Coherence Truth / 1. Coherence Truth
18701 The coherence theory says truth is coherence of thoughts, and not about objects [Button]
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
18694 Permutation Theorem: any theory with a decent model has lots of models [Button]
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]
7. Existence / D. Theories of Reality / 2. Realism
18692 Realists believe in independent objects, correspondence, and fallibility of all theories [Button]
7. Existence / D. Theories of Reality / 4. Anti-realism
18693 Indeterminacy arguments say if a theory can be made true, it has multiple versions [Button]
18695 An ideal theory can't be wholly false, because its consistency implies a true model [Button]
9. Objects / B. Unity of Objects / 1. Unifying an Object / b. Unifying aggregates
17555 'One' can mean undivided and not a multitude, or it can add measurement, giving number [Aquinas]
13. Knowledge Criteria / D. Scepticism / 2. Types of Scepticism
18700 Cartesian scepticism doubts what is true; Kantian scepticism doubts that it is sayable [Button]
14. Science / A. Basis of Science / 4. Prediction
18698 Predictions give the 'content' of theories, which can then be 'equivalent' or 'adequate' [Button]
19. Language / A. Nature of Meaning / 4. Meaning as Truth-Conditions
18697 A sentence's truth conditions are all the situations where it would be true [Button]