Combining Texts

All the ideas for 'Subjectivist's Guide to Objective Chance', 'Mathematics is Megethology' and 'The Analytic/Synthetic Distinction'

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21 ideas

4. Formal Logic / F. Set Theory ST / 1. Set Theory
Mathematics reduces to set theory, which reduces, with some mereology, to the singleton function [Lewis]
4. Formal Logic / F. Set Theory ST / 3. Types of Set / b. Empty (Null) Set
We can accept the null set, but not a null class, a class lacking members [Lewis]
The null set plays the role of last resort, for class abstracts and for existence [Lewis]
The null set is not a little speck of sheer nothingness, a black hole in Reality [Lewis]
4. Formal Logic / F. Set Theory ST / 3. Types of Set / c. Unit (Singleton) Sets
What on earth is the relationship between a singleton and an element? [Lewis]
Are all singletons exact intrinsic duplicates? [Lewis]
4. Formal Logic / G. Formal Mereology / 1. Mereology
Megethology is the result of adding plural quantification to mereology [Lewis]
5. Theory of Logic / E. Structures of Logic / 6. Relations in Logic
We can use mereology to simulate quantification over relations [Lewis]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / a. Axioms for numbers
Mathematics is generalisations about singleton functions [Lewis]
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / e. Structuralism critique
We don't need 'abstract structures' to have structural truths about successor functions [Lewis]
9. Objects / C. Structure of Objects / 8. Parts of Objects / c. Wholes from parts
I say that absolutely any things can have a mereological fusion [Lewis]
12. Knowledge Sources / A. A Priori Knowledge / 1. Nature of the A Priori
The traditional a priori is justified without experience; post-Quine it became unrevisable by experience [Rey]
19. Language / A. Nature of Meaning / 8. Synonymy
Externalist synonymy is there being a correct link to the same external phenomena [Rey]
19. Language / E. Analyticity / 1. Analytic Propositions
'Married' does not 'contain' its symmetry, nor 'bigger than' its transitivity [Rey]
Analytic judgements can't be explained by contradiction, since that is what is assumed [Rey]
Analytic statements are undeniable (because of meaning), rather than unrevisable [Rey]
The meaning properties of a term are those which explain how the term is typically used [Rey]
An intrinsic language faculty may fix what is meaningful (as well as grammatical) [Rey]
Research throws doubts on the claimed intuitions which support analyticity [Rey]
19. Language / E. Analyticity / 4. Analytic/Synthetic Critique
If we claim direct insight to what is analytic, how do we know it is not sub-consciously empirical? [Rey]
26. Natural Theory / D. Laws of Nature / 4. Regularities / b. Best system theory
Lewis later proposed the axioms at the intersection of the best theories (which may be few) [Mumford on Lewis]