Combining Texts

All the ideas for 'Capitalist Realism', 'The Actual and the Possible' and 'What is Cantor's Continuum Problem?'

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


10 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]
10. Modality / C. Sources of Modality / 5. Modality from Actuality
A state of affairs is only possible if there has been an actual substance to initiate it [Pruss]
24. Political Theory / C. Ruling a State / 4. Changing the State / a. Centralisation
Big central government only exists as a focus for anger - not to act [Fisher]
24. Political Theory / D. Ideologies / 11. Capitalism
It is hard to imagine the end of capitalism [Fisher]
25. Social Practice / E. Policies / 5. Education / a. Aims of education
Are students consumers or products of education? [Fisher]