Combining Texts

All the ideas for 'Classical Cosmology (frags)', 'Philosophy' and 'What is Cantor's Continuum Problem?'

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18 ideas

3. Truth / A. Truth Problems / 4. Uses of Truth
Truth is what unites, and the profound truths create a community [Jaspers]
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]
16. Persons / F. Free Will / 2. Sources of Free Will
Freedom needs knowledge, the possibility of arbitrariness, and law [Jaspers]
16. Persons / F. Free Will / 4. For Free Will
I am aware that freedom is possible, and the freedom is not in theory, but in seeking freedom [Jaspers]
20. Action / C. Motives for Action / 4. Responsibility for Actions
My freedom increases as I broaden my vision of possiblities and motives [Jaspers]
23. Ethics / F. Existentialism / 1. Existentialism
My helplessness in philosophising reveals my being, and begins its upsurge [Jaspers]
The struggle for Existenz is between people who are equals, and are utterly honest [Jaspers]
Once we grasp freedom 'from' things, then freedom 'for' things becomes urgent [Jaspers]
23. Ethics / F. Existentialism / 6. Authentic Self
'Existenz' is the potential being, which I could have, and ought to have [Jaspers]
Mundane existence is general, falling under universals, but Existens is unique to individuals [Jaspers]
We want the correct grasp on being that is neither solipsism nor absorption in the crowd [Jaspers]
23. Ethics / F. Existentialism / 7. Existential Action
Every decision I make moves towards or away from fulfilled Existenz [Jaspers]
27. Natural Reality / E. Cosmology / 1. Cosmology
Is the cosmos open or closed, mechanical or teleological, alive or inanimate, and created or eternal? [Robinson,TM, by PG]