Combining Texts

All the ideas for 'On the Question of Absolute Undecidability', 'Theology and Verification' and 'The Reasons of Love'

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25 ideas

4. Formal Logic / F. Set Theory ST / 1. Set Theory
17884 Mathematical set theory has many plausible stopping points, such as finitism, and predicativism [Koellner]
17893 'Reflection principles' say the whole truth about sets can't be captured [Koellner]
5. Theory of Logic / K. Features of Logics / 5. Incompleteness
17894 We have no argument to show a statement is absolutely undecidable [Koellner]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / i. Cardinal infinity
17890 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
17887 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
17891 Arithmetical undecidability is always settled at the next stage up [Koellner]
10. Modality / A. Necessity / 9. Normative Necessity
9240 Love creates a necessity concerning what to care about [Frankfurt]
22. Metaethics / A. Ethics Foundations / 1. Nature of Ethics / d. Ethical theory
9228 Ranking order of desires reveals nothing, because none of them may be considered important [Frankfurt]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / b. Rational ethics
9238 Morality isn't based on reason; moral indignation is quite unlike disapproval of irrationality [Frankfurt]
22. Metaethics / B. Value / 1. Nature of Value / d. Subjective value
9232 It is by caring about things that we infuse the world with importance [Frankfurt]
9234 If you don't care about at least one thing, you can't find reasons to care about anything [Frankfurt]
22. Metaethics / B. Value / 1. Nature of Value / f. Ultimate value
9229 What is worthwhile for its own sake alone may be worth very little [Frankfurt]
9233 Our criteria for evaluating how to live offer an answer to the problem [Frankfurt]
22. Metaethics / B. Value / 2. Values / g. Love
9235 Rather than loving things because we value them, I think we value things because we love them [Frankfurt]
9236 Love can be cool, and it may not involve liking its object [Frankfurt]
9237 The paradigm case of pure love is not romantic, but that between parents and infants [Frankfurt]
9239 I value my children for their sake, but I also value my love for them for its own sake [Frankfurt]
22. Metaethics / C. The Good / 2. Happiness / d. Routes to happiness
9227 We might not choose a very moral life, if the character or constitution was deficient [Frankfurt]
22. Metaethics / C. The Good / 3. Pleasure / a. Nature of pleasure
9230 People want to fulfill their desires, but also for their desires to be sustained [Frankfurt]
23. Ethics / A. Egoism / 1. Ethical Egoism
9241 Loving oneself is not a failing, but is essential to a successful life [Frankfurt]
23. Ethics / F. Existentialism / 4. Boredom
9300 Boredom is serious, not just uncomfortable; it threatens our psychic survival [Frankfurt]
25. Social Practice / A. Freedoms / 5. Freedom of lifestyle
9231 Freedom needs autonomy (rather than causal independence) - embracing our own desires and choices [Frankfurt]
29. Religion / D. Religious Issues / 1. Religious Commitment / c. Religious Verification
1470 Belief in an afterlife may be unverifiable in this life, but it will be verifiable after death [Hick, by PG]
1471 It may be hard to verify that we have become immortal, but we could still then verify religious claims [Hick, by PG]
29. Religion / D. Religious Issues / 1. Religious Commitment / d. Religious Falsification
1469 Some things (e.g. a section of the expansion of PI) can be verified but not falsified [Hick, by PG]