Combining Texts

All the ideas for 'Time Without Change', 'Mathematics is Megethology' and 'Contemporary Efficient Causation: Aristotelian themes'

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19 ideas

2. Reason / A. Nature of Reason / 9. Limits of Reason
People have had good reasons for thinking that the circle has been squared [Shoemaker]
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 is not a little speck of sheer nothingness, a black hole in Reality [Lewis]
The null set plays the role of last resort, for class abstracts and for existence [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]
7. Existence / D. Theories of Reality / 4. Anti-realism
Inability to measure equality doesn't make all lengths unequal [Shoemaker]
We couldn't verify the earth's rotation if everyone simultaneously fell asleep [Shoemaker]
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]
13. Knowledge Criteria / D. Scepticism / 1. Scepticism
Maybe billions of changeless years have elapsed since my last meal [Shoemaker]
26. Natural Theory / C. Causation / 1. Causation
Causation interests us because we want to explain change [Mumford]
26. Natural Theory / C. Causation / 9. General Causation / a. Constant conjunction
If things turn red for an hour and then explode, we wouldn't say the redness was the cause [Shoemaker]
27. Natural Reality / D. Time / 1. Nature of Time / e. Eventless time
If three regions 'freeze' every three, four and five years, after sixty years everything stops for a year [Shoemaker, by Lowe]
If three regions freeze every 3rd, 4th and 5th year, they all freeze together every 60 years [Shoemaker]