Combining Texts

All the ideas for 'On the Question of Absolute Undecidability', 'Theology and Falsification' and 'Identity over Time'

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12 ideas

4. Formal Logic / F. Set Theory ST / 1. Set Theory
Mathematical set theory has many plausible stopping points, such as finitism, and predicativism [Koellner]
'Reflection principles' say the whole truth about sets can't be captured [Koellner]
5. Theory of Logic / K. Features of Logics / 5. Incompleteness
We have no argument to show a statement is absolutely undecidable [Koellner]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / i. Cardinal infinity
There are at least eleven types of large cardinal, of increasing logical strength [Koellner]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / d. Peano arithmetic
PA is consistent as far as we can accept, and we expand axioms to overcome limitations [Koellner]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / g. Incompleteness of Arithmetic
Arithmetical undecidability is always settled at the next stage up [Koellner]
9. Objects / E. Objects over Time / 1. Objects over Time
If things change they become different - but then no one thing undergoes the change! [Gallois]
9. Objects / E. Objects over Time / 4. Four-Dimensionalism
4D: time is space-like; a thing is its history; past and future are real; or things extend in time [Gallois]
9. Objects / F. Identity among Objects / 6. Identity between Objects
If two things are equal, each side involves a necessity, so the equality is necessary [Gallois]
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]