Ideas from 'Axiomatic Theories of Truth (2005 ver)' by Volker Halbach [2005], by Theme Structure

[found in 'Stanford Online Encyclopaedia of Philosophy' (ed/tr Stanford University) [plato.stanford.edu ,-]].

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3. Truth / A. Truth Problems / 2. Defining Truth

15647

Truth definitions don't produce a good theory, because they go beyond your current language

3. Truth / F. Semantic Truth / 1. Tarski's Truth / c. Meta-language for truth

15649

In semantic theories of truth, the predicate is in an object-language, and the definition in a metalanguage

3. Truth / G. Axiomatic Truth / 1. Axiomatic Truth

15648

Instead of a truth definition, add a primitive truth predicate, and axioms for how it works

15655

Should axiomatic truth be 'conservative' - not proving anything apart from implications of the axioms?

15654

If truth is defined it can be eliminated, whereas axiomatic truth has various commitments

15650

Axiomatic theories of truth need a weak logical framework, and not a strong metatheory

3. Truth / H. Deflationary Truth / 2. Deflationary Truth

15656

Deflationists say truth merely serves to express infinite conjunctions

4. Formal Logic / F. Set Theory ST / 1. Set Theory

15657

To prove the consistency of set theory, we must go beyond set theory

5. Theory of Logic / C. Ontology of Logic / 1. Ontology of Logic

15652

We can use truth instead of ontologically loaded second-order comprehension assumptions about properties

5. Theory of Logic / E. Structures of Logic / 7. Predicates in Logic

15651

Instead of saying x has a property, we can say a formula is true of x - as long as we have 'true'