Combining Texts

All the ideas for 'On the Question of Absolute Undecidability', 'Philosophy of Logics' and 'Either/Or: a fragment of life'

expand these ideas     |    start again     |     specify just one area for these texts


17 ideas

1. Philosophy / D. Nature of Philosophy / 7. Despair over Philosophy
Philosophy fails to articulate the continual becoming of existence [Kierkegaard, by Carlisle]
3. Truth / A. Truth Problems / 8. Subjective Truth
Traditional views of truth are tautologies, and truth is empty without a subject [Kierkegaard, by Scruton]
3. Truth / C. Correspondence Truth / 3. Correspondence Truth critique
Logical truth seems much less likely to 'correspond to the facts' than factual truth does [Haack]
3. Truth / F. Semantic Truth / 1. Tarski's Truth / a. Tarski's truth definition
The same sentence could be true in one language and meaningless in another, so truth is language-relative [Haack]
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]
23. Ethics / F. Existentialism / 2. Nihilism
For me time stands still, and I with it [Kierkegaard, by Carlisle]
23. Ethics / F. Existentialism / 4. Boredom
The plebeians bore others; only the nobility bore themselves [Kierkegaard]
23. Ethics / F. Existentialism / 5. Existence-Essence
Reason is just abstractions, so our essence needs a subjective 'leap of faith' [Kierkegaard, by Scruton]
23. Ethics / F. Existentialism / 6. Authentic Self
There are aesthetic, ethical and religious subjectivity [Kierkegaard, by Carlisle]
23. Ethics / F. Existentialism / 7. Existential Action
What matters is not right choice, but energy, earnestness and pathos in the choosing [Kierkegaard]
24. Political Theory / D. Ideologies / 7. Communitarianism / b. Against communitarianism
Kierkegaard prioritises the inward individual, rather than community [Kierkegaard, by Carlisle]
29. Religion / D. Religious Issues / 1. Religious Commitment / e. Fideism
Faith is like a dancer's leap, going up to God, but also back to earth [Kierkegaard, by Carlisle]