Combining Texts

All the ideas for 'What is Cantor's Continuum Problem?st1=Kurt Gödel', 'A Critique of Utilitarianism' and 'Epiphenomenal Qualia'

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14 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]
17. Mind and Body / E. Mind as Physical / 7. Anti-Physicalism / c. Knowledge argument
If a blind persons suddenly sees a kestrel, that doesn't make visual and theoretical kestrels different [Papineau on Jackson]
No one bothers to imagine what it would really be like to have ALL the physical information [Dennett on Jackson]
Mary learns when she sees colour, so her complete physical information had missed something [Jackson]
22. Metaethics / B. Value / 1. Nature of Value / f. Ultimate value
Maybe the unthinkable is a moral category, and considering some options is dishonourable or absurd [Williams,B]
22. Metaethics / C. The Good / 1. Goodness / g. Consequentialism
Consequentialism assumes that situations can be compared [Williams,B]
For a consequentialist massacring 7 million must be better than massacring 7 million and one [Williams,B]
23. Ethics / D. Deontological Ethics / 3. Universalisability
We don't have a duty to ensure that others do their duty [Williams,B]
23. Ethics / E. Utilitarianism / 1. Utilitarianism
Utilitarianism cannot make any serious sense of integrity [Williams,B]