Combining Texts

All the ideas for 'Human Flourishing, Ethics and Liberty', 'What is Cantor's Continuum Problem?' and 'Sentences'

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9 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]
22. Metaethics / C. The Good / 1. Goodness / d. Good as virtue
Basing ethics on flourishing makes it consequentialist, as actions are judged by contributing to it [Harman]
22. Metaethics / C. The Good / 2. Happiness / b. Eudaimonia
What counts as 'flourishing' must be relative to various sets of values [Harman]
29. Religion / B. Monotheistic Religion / 4. Christianity / d. Heresy
Heretics should be eradicated like wolves [Aquinas]