Combining Texts

All the ideas for '', 'Authority and the Individual' and 'Mathematics is Megethology'

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33 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 / A. Overview of Logic / 1. Overview of Logic
If a sound conclusion comes from two errors that cancel out, the path of the argument must matter [Rumfitt]
5. Theory of Logic / E. Structures of Logic / 2. Logical Connectives / a. Logical connectives
Standardly 'and' and 'but' are held to have the same sense by having the same truth table [Rumfitt]
The sense of a connective comes from primitively obvious rules of inference [Rumfitt]
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]
19. Language / F. Communication / 3. Denial
We learn 'not' along with affirmation, by learning to either affirm or deny a sentence [Rumfitt]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / e. Human nature
We divide mankind into friend and foe, and cooperate with one and compete with the other [Russell]
24. Political Theory / A. Basis of a State / 1. A People / c. A unified people
Gradually loyalty to a creed increased, which could even outweigh nationality [Russell]
Increasingly war expands communities, and unifies them through fear [Russell]
In early societies the leaders needed cohesion, but the rest just had to obey [Russell]
24. Political Theory / A. Basis of a State / 2. Population / b. State population
The economic and political advantages of great size seem to have no upper limit [Russell]
24. Political Theory / B. Nature of a State / 1. Purpose of a State
Government has a negative purpose, to prevent trouble, and a positive aim of realising our desires [Russell]
24. Political Theory / C. Ruling a State / 2. Leaders / b. Monarchy
A monarch is known to everyone in the group, and can thus unite large groups [Russell]
24. Political Theory / C. Ruling a State / 4. Changing the State / b. Devolution
Power should be with smaller bodies, as long as it doesn't restrict central powers [Russell]
24. Political Theory / D. Ideologies / 2. Anarchism
In an anarchy universities, research, books, and even seaside holidays, would be impossible [Russell]
A state is essential, to control greedy or predatory impulses [Russell]
24. Political Theory / D. Ideologies / 5. Democracy / f. Against democracy
In democracy we are more aware of being governed than of our tiny share in government [Russell]
24. Political Theory / D. Ideologies / 8. Socialism
Managers are just as remote from workers under nationalisation as under capitalism [Russell]
Socialists say economic justice needs some state control of industries, and of foreign trade [Russell]
Being a slave of society is hardly better than being a slave of a despot [Russell]
25. Social Practice / A. Freedoms / 1. Slavery
Slavery began the divorce between the work and the purposes of the worker [Russell]
25. Social Practice / B. Equalities / 1. Grounds of equality
Slaves can be just as equal as free people [Russell]
25. Social Practice / B. Equalities / 4. Economic equality
Scarce goods may be denied entirely, to avoid their unequal distribution [Russell]
25. Social Practice / D. Justice / 1. Basis of justice
Modern justice is seen as equality, apart from modest extra rewards for exceptional desert [Russell]