Combining Texts

All the ideas for 'Concerning the Author', 'Theology and Falsification' and 'What is Cantor's Continuum Problem?'

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14 ideas

1. Philosophy / E. Nature of Metaphysics / 7. Against Metaphysics
The demonstrations of the metaphysicians are all moonshine [Peirce]
1. Philosophy / G. Scientific Philosophy / 3. Scientism
I am saturated with the spirit of physical science [Peirce]
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]
11. Knowledge Aims / B. Certain Knowledge / 3. Fallibilism
Infallibility in science is just a joke [Peirce]
12. Knowledge Sources / D. Empiricism / 2. Associationism
Association of ideas is the best philosophical idea of the prescientific age [Peirce]
14. Science / B. Scientific Theories / 1. Scientific Theory
Duns Scotus offers perhaps the best logic and metaphysics for modern physical science [Peirce]
29. Religion / D. Religious Issues / 1. Religious Commitment / b. Religious Meaning
Claims about God don't seem to claim or deny anything tangible, so evidence is irrelevant [Flew, by PG]
29. Religion / D. Religious Issues / 1. Religious Commitment / d. Religious Falsification
You can't claim a patch of land is tended by a 'gardener' if there is no evidence, and all counter-evidence is rejected [Flew, by PG]
Religious people seem unwilling to accept any evidence that God does not love us, so their claim is unfalsifiable [Flew, by PG]