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Ideas for 'On the Question of Absolute Undecidability', 'Tarski's Theory of Truth' and 'works'

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3 ideas

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]
	Full Idea: Model theory must choose the denotations of the primitives so that all of a group of sentences come out true, so we need a theory of how the truth value of a sentence depends on the denotation of its primitive nonlogical parts, which Tarski gives us.
	From: Hartry Field (Tarski's Theory of Truth [1972], §1)

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]
	Full Idea: In model theory we are interested in allowing a slightly unusual semantics for quantifiers: we are willing to allow that the quantifier not range over everything.
	From: Hartry Field (Tarski's Theory of Truth [1972], n 5)

5. Theory of Logic / K. Features of Logics / 5. Incompleteness

17894	We have no argument to show a statement is absolutely undecidable [Koellner]
	Full Idea: There is at present no solid argument to the effect that a given statement is absolutely undecidable.
	From: Peter Koellner (On the Question of Absolute Undecidability [2006], 5.3)