Combining Texts

All the ideas for 'fragments/reports', 'Mathematics is Megethology' and 'De Legibus Naturae'

expand these ideas     |    start again     |     specify just one area for these texts


20 ideas

2. Reason / A. Nature of Reason / 7. Status of Reason
If a decision is in accord with right reason, everyone can agree with it [Cumberland]
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]
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]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / d. Biological ethics
Natural law is supplied to the human mind by reality and human nature [Cumberland]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / k. Ethics from nature
The goal is rationality in the selection of things according to nature [Diogenes of Babylon, by Blank]
22. Metaethics / B. Value / 1. Nature of Value / f. Ultimate value
If there are different ultimate goods, there will be conflicting good actions, which is impossible [Cumberland]
22. Metaethics / C. The Good / 1. Goodness / a. Form of the Good
The good is what is perfect by nature [Diogenes of Babylon, by Blank]
23. Ethics / C. Virtue Theory / 3. Virtues / c. Justice
Justice is a disposition to distribute according to desert [Diogenes of Babylon, by Blank]
23. Ethics / E. Utilitarianism / 1. Utilitarianism
The happiness of individuals is linked to the happiness of everyone (which is individuals taken together) [Cumberland]
The happiness of all contains the happiness of each, and promotes it [Cumberland]
25. Social Practice / D. Justice / 2. The Law / c. Natural law
Natural law is immutable truth giving moral truths and duties independent of society [Cumberland]