Combining Texts

All the ideas for 'Axiomatic Theories of Truth (2005 ver)', 'Aristotle on Matter' and 'Tarski on Truth and Logical Consequence'

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18 ideas

2. Reason / D. Definition / 4. Real Definition
Definitions formed an abstract hierarchy for Aristotle, as sets do for us [Fine,K]
2. Reason / D. Definition / 5. Genus and Differentia
Aristotle sees hierarchies in definitions using genus and differentia (as we see them in sets) [Fine,K]
3. Truth / A. Truth Problems / 2. Defining Truth
Truth definitions don't produce a good theory, because they go beyond your current language [Halbach]
3. Truth / F. Semantic Truth / 1. Tarski's Truth / c. Meta-language for truth
'Snow is white' depends on meaning; whether snow is white depends on snow [Etchemendy]
In semantic theories of truth, the predicate is in an object-language, and the definition in a metalanguage [Halbach]
3. Truth / G. Axiomatic Truth / 1. Axiomatic Truth
We can get a substantive account of Tarski's truth by adding primitive 'true' to the object language [Etchemendy]
Instead of a truth definition, add a primitive truth predicate, and axioms for how it works [Halbach]
Should axiomatic truth be 'conservative' - not proving anything apart from implications of the axioms? [Halbach]
If truth is defined it can be eliminated, whereas axiomatic truth has various commitments [Halbach]
Axiomatic theories of truth need a weak logical framework, and not a strong metatheory [Halbach]
3. Truth / H. Deflationary Truth / 2. Deflationary Truth
Deflationists say truth merely serves to express infinite conjunctions [Halbach]
4. Formal Logic / F. Set Theory ST / 1. Set Theory
To prove the consistency of set theory, we must go beyond set theory [Halbach]
5. Theory of Logic / C. Ontology of Logic / 1. Ontology of Logic
We can use truth instead of ontologically loaded second-order comprehension assumptions about properties [Halbach]
5. Theory of Logic / E. Structures of Logic / 7. Predicates in Logic
Instead of saying x has a property, we can say a formula is true of x - as long as we have 'true' [Halbach]
7. Existence / C. Structure of Existence / 1. Grounding / c. Grounding and explanation
Maybe bottom-up grounding shows constitution, and top-down grounding shows essence [Fine,K]
9. Objects / C. Structure of Objects / 6. Constitution of an Object
There is no distinctive idea of constitution, because you can't say constitution begins and ends [Fine,K]
Is there a plausible Aristotelian notion of constitution, applicable to both physical and non-physical? [Fine,K]
26. Natural Theory / A. Speculations on Nature / 6. Early Matter Theories / a. Greek matter
The components of abstract definitions could play the same role as matter for physical objects [Fine,K]