Combining Texts

All the ideas for 'Alcibiades', 'Tarski's Theory of Truth' and 'First-order Logic, 2nd-order, Completeness'

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20 ideas

3. Truth / A. Truth Problems / 4. Uses of Truth
10825 The notion of truth is to help us make use of the utterances of others [Field,H]
3. Truth / A. Truth Problems / 9. Rejecting Truth
10820 In the early 1930s many philosophers thought truth was not scientific [Field,H]
3. Truth / F. Semantic Truth / 1. Tarski's Truth / a. Tarski's truth definition
13499 Tarski reduced truth to reference or denotation [Field,H, by Hart,WD]
10818 Tarski really explained truth in terms of denoting, predicating and satisfied functions [Field,H]
3. Truth / F. Semantic Truth / 1. Tarski's Truth / b. Satisfaction and truth
10817 Tarski just reduced truth to some other undefined semantic notions [Field,H]
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 / I. Semantics of Logic / 2. Formal Truth
10819 Tarski gives us the account of truth needed to build a group of true sentences in a model [Field,H]
5. Theory of Logic / J. Model Theory in Logic / 1. Logical Models
10827 Model theory is unusual in restricting the range of the quantifiers [Field,H]
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]
17. Mind and Body / A. Mind-Body Dualism / 1. Dualism
3519 Man uses his body, so must be separate from it [Anon (Plat), by Maslin]
17. Mind and Body / E. Mind as Physical / 2. Reduction of Mind
10826 'Valence' and 'gene' had to be reduced to show their compatibility with physicalism [Field,H]
19. Language / B. Reference / 3. Direct Reference / b. Causal reference
7615 Field says reference is a causal physical relation between mental states and objects [Field,H, by Putnam]