Combining Texts

All the ideas for 'What is Cantor's Continuum Problem?st1=Kurt Gödel', 'fragments/reports' and 'On Anger (Book 3)'

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


11 ideas

4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / a. Axioms for sets
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
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
Set-theory paradoxes are no worse than sense deception in physics [Gödel]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / g. Continuum Hypothesis
The Continuum Hypothesis is not inconsistent with the axioms of set theory [Gödel, by Clegg]
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
Basic mathematics is related to abstract elements of our empirical ideas [Gödel]
23. Ethics / C. Virtue Theory / 2. Elements of Virtue Theory / e. Character
True greatness is never allowing events to disturb you [Seneca]
23. Ethics / C. Virtue Theory / 3. Virtues / a. Virtues
Every night I critically review how I have behaved during the day [Seneca]
23. Ethics / C. Virtue Theory / 3. Virtues / b. Temperance
Anger is an extreme vice, threatening sanity, and gripping whole states [Seneca]
Anger is a vice which afflicts good men as well as bad [Seneca]
28. God / A. Divine Nature / 1. God
There is a remote first god (the Good), and a second god who organises the material world [Numenius, by O'Meara]