Combining Texts

All the ideas for 'On the Question of Absolute Undecidability', 'The Myth of Sisyphus' and 'Could There Be Unicorns?'

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29 ideas

1. Philosophy / A. Wisdom / 3. Wisdom Deflated
Life will be lived better if it has no meaning [Camus]
1. Philosophy / D. Nature of Philosophy / 3. Philosophy Defined
Suicide - whether life is worth living - is the one serious philosophical problem [Camus]
1. Philosophy / D. Nature of Philosophy / 7. Despair over Philosophy
To an absurd mind reason is useless, and there is nothing beyond reason [Camus]
4. Formal Logic / D. Modal Logic ML / 1. Modal Logic
It was realised that possible worlds covered all modal logics, if they had a structure [Dummett]
4. Formal Logic / D. Modal Logic ML / 3. Modal Logic Systems / a. Systems of modal logic
If something is only possible relative to another possibility, the possibility relation is not transitive [Dummett]
Relative possibility one way may be impossible coming back, so it isn't symmetrical [Dummett]
4. Formal Logic / D. Modal Logic ML / 3. Modal Logic Systems / d. System T
If possibilitiy is relative, that might make accessibility non-transitive, and T the correct system [Dummett]
4. Formal Logic / D. Modal Logic ML / 3. Modal Logic Systems / g. System S4
In S4 the actual world has a special place [Dummett]
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 / A. Overview of Logic / 3. Value of Logic
Logic is easy, but what about logic to the point of death? [Camus]
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]
10. Modality / E. Possible worlds / 1. Possible Worlds / a. Possible worlds
Possible worlds aren't how the world might be, but how a world might be, given some possibility [Dummett]
10. Modality / E. Possible worlds / 1. Possible Worlds / c. Possible worlds realism
If possible worlds have no structure (S5) they are equal, and it is hard to deny them reality [Dummett]
16. Persons / F. Free Will / 1. Nature of Free Will
Whether we are free is uninteresting; we can only experience our freedom [Camus]
16. Persons / F. Free Will / 6. Determinism / b. Fate
The human heart has a tiresome tendency to label as fate only what crushes it [Camus]
22. Metaethics / A. Ethics Foundations / 1. Nature of Ethics / d. Ethical theory
Discussing ethics is pointless; moral people behave badly, and integrity doesn't need rules [Camus]
22. Metaethics / B. Value / 2. Values / g. Love
The more one loves the stronger the absurd grows [Camus]
23. Ethics / C. Virtue Theory / 1. Virtue Theory / d. Virtue theory critique
To explain generosity in a person, you must understand a generous action [Dummett]
23. Ethics / C. Virtue Theory / 2. Elements of Virtue Theory / c. Motivation for virtue
One can be virtuous through a whim [Camus]
23. Ethics / F. Existentialism / 2. Nihilism
If we believe existence is absurd, this should dictate our conduct [Camus]
Happiness and the absurd go together, each leading to the other [Camus]
23. Ethics / F. Existentialism / 7. Existential Action
Essential problems either risk death, or intensify the passion of life [Camus]
Danger and integrity are not in the leap of faith, but in remaining poised just before the leap [Camus]
25. Social Practice / F. Life Issues / 4. Suicide
It is essential to die unreconciled and not of one's own free will [Camus]
26. Natural Theory / B. Natural Kinds / 7. Critique of Kinds
Generalised talk of 'natural kinds' is unfortunate, as they vary too much [Dummett]