Combining Texts

All the ideas for 'Science and Method', 'Mathematics is Megethology' and 'A Materialist Theory of Mind (Rev)'

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17 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 / A. Nature of Mathematics / 2. Geometry
One geometry cannot be more true than another [Poincaré]
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]
8. Modes of Existence / C. Powers and Dispositions / 6. Dispositions / a. Dispositions
To be realists about dispositions, we can only discuss them through their categorical basis [Armstrong]
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 / B. Perception / 2. Qualities in Perception / d. Secondary qualities
Armstrong suggests secondary qualities are blurred primary qualities [Armstrong, by Robinson,H]
16. Persons / C. Self-Awareness / 1. Introspection
A mental state without belief refutes self-intimation; a belief with no state refutes infallibility [Armstrong, by Shoemaker]
17. Mind and Body / C. Functionalism / 4. Causal Functionalism
If pains are defined causally, and research shows that the causal role is physical, then pains are physical [Armstrong, by Lycan]
Armstrong and Lewis see functionalism as an identity of the function and its realiser [Armstrong, by Heil]