Combining Texts

All the ideas for 'Realism in Mathematics', 'Truth (2nd edn)' and 'Intros to Russell's 'Essays in Analysis''

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18 ideas

3. Truth / A. Truth Problems / 1. Truth
The function of the truth predicate? Understanding 'true'? Meaning of 'true'? The concept of truth? A theory of truth? [Horwich]
3. Truth / C. Correspondence Truth / 1. Correspondence Truth
Some correspondence theories concern facts; others are built up through reference and satisfaction [Horwich]
3. Truth / C. Correspondence Truth / 3. Correspondence Truth critique
The common-sense theory of correspondence has never been worked out satisfactorily [Horwich]
3. Truth / H. Deflationary Truth / 1. Redundant Truth
The redundancy theory cannot explain inferences from 'what x said is true' and 'x said p', to p [Horwich]
3. Truth / H. Deflationary Truth / 2. Deflationary Truth
Truth is a useful concept for unarticulated propositions and generalisations about them [Horwich]
No deflationary conception of truth does justice to the fact that we aim for truth [Horwich]
Horwich's deflationary view is novel, because it relies on propositions rather than sentences [Horwich, by Davidson]
The deflationary picture says believing a theory true is a trivial step after believing the theory [Horwich]
4. Formal Logic / F. Set Theory ST / 7. Natural Sets
Maddy replaces pure sets with just objects and perceived sets of objects [Maddy, by Shapiro]
5. Theory of Logic / E. Structures of Logic / 1. Logical Form
Logical form is the aspects of meaning that determine logical entailments [Horwich]
5. Theory of Logic / L. Paradox / 5. Paradoxes in Set Theory / b. Cantor's paradox
Sets always exceed terms, so all the sets must exceed all the sets [Lackey]
5. Theory of Logic / L. Paradox / 5. Paradoxes in Set Theory / c. Burali-Forti's paradox
It seems that the ordinal number of all the ordinals must be bigger than itself [Lackey]
6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / a. Mathematics is set theory
A natural number is a property of sets [Maddy, by Oliver]
6. Mathematics / C. Sources of Mathematics / 2. Intuition of Mathematics
Intuition doesn't support much mathematics, and we should question its reliability [Maddy, by Shapiro]
6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / a. Mathematical empiricism
We know mind-independent mathematical truths through sets, which rest on experience [Maddy, by Jenkins]
19. Language / A. Nature of Meaning / 4. Meaning as Truth-Conditions
We could know the truth-conditions of a foreign sentence without knowing its meaning [Horwich]
19. Language / D. Propositions / 1. Propositions
There are Fregean de dicto propositions, and Russellian de re propositions, or a mixture [Horwich]
19. Language / F. Communication / 6. Interpreting Language / b. Indeterminate translation
Right translation is a mapping of languages which preserves basic patterns of usage [Horwich]