Combining Texts

All the ideas for 'fragments/reports', 'The Communist Manifesto' and 'Philosophy of Mathematics'

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18 ideas

4. Formal Logic / F. Set Theory ST / 5. Conceptions of Set / d. Naïve logical sets
Naïve set theory says any formula defines a set, and coextensive sets are identical [Linnebo]
5. Theory of Logic / I. Semantics of Logic / 1. Semantics of Logic
In classical semantics singular terms refer, and quantifiers range over domains [Linnebo]
5. Theory of Logic / K. Features of Logics / 1. Axiomatisation
The axioms of group theory are not assertions, but a definition of a structure [Linnebo]
To investigate axiomatic theories, mathematics needs its own foundational axioms [Linnebo]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / g. Incompleteness of Arithmetic
You can't prove consistency using a weaker theory, but you can use a consistent theory [Linnebo]
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / a. Structuralism
Mathematics is the study of all possible patterns, and is thus bound to describe the world [Linnebo]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / d. Logicism critique
Logical truth is true in all models, so mathematical objects can't be purely logical [Linnebo]
6. Mathematics / C. Sources of Mathematics / 7. Formalism
Game Formalism has no semantics, and Term Formalism reduces the semantics [Linnebo]
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]
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]
26. Natural Theory / A. Speculations on Nature / 5. Infinite in Nature
Archelaus was the first person to say that the universe is boundless [Archelaus, by Diog. Laertius]
27. Natural Reality / G. Biology / 3. Evolution
Archelaus said life began in a primeval slime [Archelaus, by Schofield]