Combining Texts

All the ideas for 'Mahaprajnaparamitashastra', 'Elements of Set Theory' and 'The Communist Manifesto'

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


17 ideas

4. Formal Logic / F. Set Theory ST / 2. Mechanics of Set Theory / b. Terminology of ST
∈ says the whole set is in the other; ⊆ says the members of the subset are in the other [Enderton]
A 'linear or total ordering' must be transitive and satisfy trichotomy [Enderton]
The 'ordered pair' <x,y> is defined to be {{x}, {x,y}} [Enderton]
4. Formal Logic / F. Set Theory ST / 3. Types of Set / b. Empty (Null) Set
Note that {Φ} =/= Φ, because Φ ∈ {Φ} but Φ ∉ Φ [Enderton]
The empty set may look pointless, but many sets can be constructed from it [Enderton]
4. Formal Logic / F. Set Theory ST / 3. Types of Set / c. Unit (Singleton) Sets
The singleton is defined using the pairing axiom (as {x,x}) [Enderton]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / h. Axiom of Replacement VII
Fraenkel added Replacement, to give a theory of ordinal numbers [Enderton]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / j. Axiom of Choice IX
We can only define functions if Choice tells us which items are involved [Enderton]
13. Knowledge Criteria / E. Relativism / 4. Cultural relativism
For the proletariate, law, morality and religion are just expressions of bourgeois interests [Marx/Engels]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / j. Ethics by convention
Bourgeois interests create our morality, law and religion [Marx/Engels]
23. Ethics / C. Virtue Theory / 3. Virtues / a. Virtues
The six perfections are giving, morality, patience, vigour, meditation, and wisdom [Nagarjuna]
24. Political Theory / D. Ideologies / 9. Communism
Modern governments are just bourgeois management committees [Marx/Engels]
Communism aims to abolish not all property, but bourgeois property [Marx/Engels]
Many of the bourgeois rights grievances are a form of self-defence [Marx/Engels]
25. Social Practice / A. Freedoms / 5. Freedom of lifestyle
The free development of each should be the condition for the free development of all [Marx/Engels]
25. Social Practice / E. Policies / 5. Education / b. Education principles
Communists want to rescue education from the ruling class [Marx/Engels]
25. Social Practice / E. Policies / 5. Education / d. Study of history
The history of all existing society is the history of class struggles [Marx/Engels]