Combining Texts

All the ideas for 'fragments/reports', 'Critique of the Gotha Program' and 'Principles of Arithmetic, by a new method'

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

12 ideas

6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / d. Peano arithmetic
13949 All models of Peano axioms are isomorphic, so the models all seem equally good for natural numbers [Cartwright,R on Peano]
18113 PA concerns any entities which satisfy the axioms [Peano, by Bostock]
17634 Peano axioms not only support arithmetic, but are also fairly obvious [Peano, by Russell]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / g. Incompleteness of Arithmetic
15653 We can add Reflexion Principles to Peano Arithmetic, which assert its consistency or soundness [Halbach on Peano]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / a. Early logicism
17635 Arithmetic can have even simpler logical premises than the Peano Axioms [Russell on Peano]
24. Political Theory / C. Ruling a State / 4. Changing the State / c. Revolution
22971 In moving from capitalism to communism a revolutionary dictatorship of the proletariat is needed [Marx]
24. Political Theory / D. Ideologies / 9. Communism
22000 From each according to his ability, to each according to his need [Marx]
22969 People who only have their labour power are the slaves of those permitting them to work [Marx]
22970 Freedom is making the state subordinate to its society [Marx]
25. Social Practice / A. Freedoms / 2. Freedom of belief
22972 Bourgeois 'freedom of conscience' just tolerates all sorts of religious intolerance [Marx]
26. Natural Theory / A. Speculations on Nature / 5. Infinite in Nature
1748 Archelaus was the first person to say that the universe is boundless [Archelaus, by Diog. Laertius]
27. Natural Reality / G. Biology / 3. Evolution
5989 Archelaus said life began in a primeval slime [Archelaus, by Schofield]