Combining Texts

All the ideas for 'The Scope and Language of Science', 'History of Ancient Art' and 'Tarski on Truth and Logical Consequence'

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6 ideas

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]
     Full Idea: The difference between (a) snow is white, and (b) 'snow is white' true is that the first makes a claim that only depends on the colour of snow, while the second depends both on the colour of snow and the meaning of the sentence 'snow is white'.
     From: John Etchemendy (Tarski on Truth and Logical Consequence [1988], p.61), quoted by Richard L. Kirkham - Theories of Truth: a Critical Introduction 5.7
     A reaction: This is a helpful first step for those who have reached screaming point by being continually offered this apparently vacuous equivalence. This sentence works well if that stuff is a particular colour.
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]
     Full Idea: Getting from a Tarskian definition of truth to a substantive account of the semantic properties of the object language may involve as little as the reintroduction of a primitive notion of truth.
     From: John Etchemendy (Tarski on Truth and Logical Consequence [1988], p.60), quoted by Donald Davidson - Truth and Predication 1
     A reaction: This is, I think, the first stage in modern developments of axiomatic truth theories. The first problem would be to make sure you haven't reintroduced the Liar Paradox. You need axioms to give behaviour to the 'true' predicate.
6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / a. Mathematics is set theory
Maths can be reduced to logic and set theory [Quine]
     Full Idea: Researches in the foundations of mathematics have made it clear that all of (interpreted) mathematics can be got down to logic and set theory, and the objects needed for mathematics can be got down to the category of classes (and classes of classes..).
     From: Willard Quine (The Scope and Language of Science [1954], §VI)
     A reaction: This I take to be a retreat from pure logicism, presumably influenced by Gödel. So can set theory be reduced to logic? Crispin Wright is the one the study.
8. Modes of Existence / B. Properties / 1. Nature of Properties
The category of objects incorporates the old distinction of substances and their modes [Quine]
     Full Idea: The category of objects embraces indiscriminately what would anciently have been distinguished as substances and as modes or states of substances.
     From: Willard Quine (The Scope and Language of Science [1954], §6)
     A reaction: This nicely captures Quine's elimination of properties, by presenting them as inseparable from their objects/substances. Armstrong calls this 'Ostrich Nominalism' (for refusing to address the universals problem) but Quineans are unshaken.
17. Mind and Body / E. Mind as Physical / 6. Conceptual Dualism
A hallucination can, like an ague, be identified with its host; the ontology is physical, the idiom mental [Quine]
     Full Idea: A physical ontology has a place for states of mind. An inspiration or a hallucination can, like the fit of ague, be identified with its host for the duration. It leaves our mentalistic idioms fairly intact, but reconciles them with a physical ontology.
     From: Willard Quine (The Scope and Language of Science [1954], §VI)
     A reaction: Quine is employing the same strategy that he uses for substances and properties (Idea 8461): take the predication as basic, rather than reifying the thing being predicated. The ague analogy suggests that Quine is an incipient functionalist.
21. Aesthetics / B. Nature of Art / 4. Art as Expression
Art aims only at beauty, of form, of idea, and (above all) of expression [Winckelmann, by Tolstoy]
     Full Idea: According to Winckelmann, the law and aim of all art is beauty, independent of goodness. The three kinds of beauty are of form, of idea, and of expression (the highest aim, attainable only when the other two are present).
     From: report of Johann Winckelmann (History of Ancient Art [1764]) by Leo Tolstoy - What is Art? Ch.3
     A reaction: This sounds very like 'art for art's sake', but a hundred years earlier. This is quite a good distinction, and I particularly like the 'beauty of idea', which is often overlooked.