Combining Texts

All the ideas for 'fragments/reports', 'On the Law of War' and 'What is Cantor's Continuum Problem?'

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

12 ideas

4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / a. Axioms for sets
8679 We perceive the objects of set theory, just as we perceive with our senses [Gödel]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / o. Axiom of Constructibility V = L
9942 Gödel proved the classical relative consistency of the axiom V = L [Gödel, by Putnam]
5. Theory of Logic / L. Paradox / 5. Paradoxes in Set Theory / a. Set theory paradoxes
18062 Set-theory paradoxes are no worse than sense deception in physics [Gödel]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / g. Continuum Hypothesis
10868 The Continuum Hypothesis is not inconsistent with the axioms of set theory [Gödel, by Clegg]
13517 If set theory is consistent, we cannot refute or prove the Continuum Hypothesis [Gödel, by Hart,WD]
6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / a. Mathematical empiricism
10271 Basic mathematics is related to abstract elements of our empirical ideas [Gödel]
25. Social Practice / E. Policies / 1. War / a. Just wars
23569 The only just cause for a war is a wrong received [Vitoria]
23601 Leaders can only attack foreigners who have done wrong (as with their own subjects) [Vitoria]
25. Social Practice / E. Policies / 1. War / c. Combatants
23566 Princes should not justify a war to their subjects, and doing so would undermine the state [Vitoria]
25. Social Practice / E. Policies / 1. War / d. Non-combatants
23576 Sacking a city is lawful if it motivates the attacking troops [Vitoria]
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]