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All the ideas for 'Axiomatic Theories of Truth (2005 ver)', 'A General Principle to Explain Laws of Nature' and 'Three Grades of Modal Involvement'

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17 ideas

1. Philosophy / D. Nature of Philosophy / 2. Invocation to Philosophy
Philosophy is sanctified, because it flows from God [Leibniz]
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
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
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
Whether a modal claim is true depends on how the object is described [Quine, by Fine,K]
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]
5. Theory of Logic / G. Quantification / 1. Quantification
Objects are the values of variables, so a referentially opaque context cannot be quantified into [Quine]
9. Objects / D. Essence of Objects / 9. Essence and Properties
Aristotelian essentialism says a thing has some necessary and some non-necessary properties [Quine]
9. Objects / F. Identity among Objects / 1. Concept of Identity
Inequality can be brought infinitely close to equality [Leibniz]
10. Modality / A. Necessity / 2. Nature of Necessity
Necessity can attach to statement-names, to statements, and to open sentences [Quine]
10. Modality / A. Necessity / 11. Denial of Necessity
Necessity is in the way in which we say things, and not things themselves [Quine]