Combining Texts

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

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17 ideas

1. Philosophy / D. Nature of Philosophy / 7. Despair over Philosophy
Philosophy fails to articulate the continual becoming of existence [Kierkegaard, by Carlisle]
     Full Idea: Kierkegaard criticise philosophy for its inability to grasp and to articulate the movement, the continual becoming, that characterises existence.
     From: report of Søren Kierkegaard (Either/Or: a fragment of life [1843]) by Clare Carlisle - Kierkegaard: a guide for the perplexed 2
     A reaction: Heraclitus had a go, and Hegel's historicism focuses on dynamic thought, but this idea concerns the immediacy of individual life.
3. Truth / A. Truth Problems / 8. Subjective Truth
Traditional views of truth are tautologies, and truth is empty without a subject [Kierkegaard, by Scruton]
     Full Idea: Kierkegaard developed the idea of 'truth as subjectivity'; the traditional conceptions of truth - correspondence or coherence - he regarded as equally empty, not because false, but because tautologous; truth ceases to be empty when related to a subject.
     From: report of Søren Kierkegaard (Either/Or: a fragment of life [1843]) by Roger Scruton - Short History of Modern Philosophy Ch.13
     A reaction: It strikes me that the correspondence theory of truth also involves a subject. If you become too obsessed with the subject, you lose the concept of truth. You need a concept of the non-subject too. Truth concerns the contents of thought.
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]
     Full Idea: It is surely less plausible to suppose that logical truth consists in correspondence to the facts than that 'factual' truth does.
     From: Susan Haack (Philosophy of Logics [1978], 7.6)
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]
     Full Idea: The definition of truth will have to be, Tarski argues, relative to a language, for one and the same sentence may be true in one language, and false or meaningless in another.
     From: Susan Haack (Philosophy of Logics [1978], 7.5)
4. Formal Logic / F. Set Theory ST / 1. Set Theory
Mathematical set theory has many plausible stopping points, such as finitism, and predicativism [Koellner]
     Full Idea: There are many coherent stopping points in the hierarchy of increasingly strong mathematical systems, starting with strict finitism, and moving up through predicativism to the higher reaches of set theory.
     From: Peter Koellner (On the Question of Absolute Undecidability [2006], Intro)
'Reflection principles' say the whole truth about sets can't be captured [Koellner]
     Full Idea: Roughly speaking, 'reflection principles' assert that anything true in V [the set hierarchy] falls short of characterising V in that it is true within some earlier level.
     From: Peter Koellner (On the Question of Absolute Undecidability [2006], 2.1)
5. Theory of Logic / K. Features of Logics / 5. Incompleteness
We have no argument to show a statement is absolutely undecidable [Koellner]
     Full Idea: There is at present no solid argument to the effect that a given statement is absolutely undecidable.
     From: Peter Koellner (On the Question of Absolute Undecidability [2006], 5.3)
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]
     Full Idea: Some of the standard large cardinals (in order of increasing (logical) strength) are: inaccessible, Mahlo, weakly compact, indescribable, Erdös, measurable, strong, Wodin, supercompact, huge etc. (...and ineffable).
     From: Peter Koellner (On the Question of Absolute Undecidability [2006], 1.4)
     A reaction: [I don't understand how cardinals can have 'logical strength', but I pass it on anyway]
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]
     Full Idea: To the extent that we are justified in accepting Peano Arithmetic we are justified in accepting its consistency, and so we know how to expand the axiom system so as to overcome the limitation [of Gödel's Second Theorem].
     From: Peter Koellner (On the Question of Absolute Undecidability [2006], 1.1)
     A reaction: Each expansion brings a limitation, but then you can expand again.
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]
     Full Idea: The arithmetical instances of undecidability that arise at one stage of the hierarchy are settled at the next.
     From: Peter Koellner (On the Question of Absolute Undecidability [2006], 1.4)
23. Ethics / F. Existentialism / 2. Nihilism
For me time stands still, and I with it [Kierkegaard, by Carlisle]
     Full Idea: Time flows, life is a stream, people say, and so on. I do not notice it. Time stands still, and I with it.
     From: report of Søren Kierkegaard (Either/Or: a fragment of life [1843], I:26) by Clare Carlisle - Kierkegaard: a guide for the perplexed 3
     A reaction: This is from the spokesman for the aesthetic option in life, which is largely pleasure-seeking. No real choices ever occur.
23. Ethics / F. Existentialism / 4. Boredom
The plebeians bore others; only the nobility bore themselves [Kierkegaard]
     Full Idea: Those who bore others are the plebeians, the crowd, the endless train of humanity in general; those who bore themselves are the chosen ones, the nobility.
     From: Søren Kierkegaard (Either/Or: a fragment of life [1843], Pt.1), quoted by Lars Svendsen - A Philosophy of Boredom Ch.2
     A reaction: [p.288 in Princeton Edn] Stunningly elitist, but ask where boredom is most overtly found. "Boring" was once a very fashionable word among the English upper classes. Education and wealth seem to intensify boredom.
23. Ethics / F. Existentialism / 5. Existence-Essence
Reason is just abstractions, so our essence needs a subjective 'leap of faith' [Kierkegaard, by Scruton]
     Full Idea: For Kierkegaard, reason, which produces only abstractions, negates our individual essence; this essence is subjectivity, and subjectivity exists only in the 'leap of faith', whereby the individual casts in his lot with eternity.
     From: report of Søren Kierkegaard (Either/Or: a fragment of life [1843]) by Roger Scruton - Short History of Modern Philosophy Ch.13
     A reaction: Interesting, but this strikes me as a confusion of reason and logic. A logical life would indeed be a sort of death, and need faith as an escape, but a broad view of the rational life includes emotion, imagination and laughter. Blind faith is disaster.
23. Ethics / F. Existentialism / 6. Authentic Self
There are aesthetic, ethical and religious subjectivity [Kierkegaard, by Carlisle]
     Full Idea: Kierkegaard distinguishes three main types of subjectivity: aesthetic, ethical and religious. But are these types of people, or different phases of one person's life?
     From: report of Søren Kierkegaard (Either/Or: a fragment of life [1843]) by Clare Carlisle - Kierkegaard: a guide for the perplexed 4
     A reaction: His picture of the religious mode holds no appeal for me. I also can't accept that the aesthetic and the moral are somewho distinct. People may discover they have slipped into one of these modes, but no one chooses them, do they?
23. Ethics / F. Existentialism / 7. Existential Action
What matters is not right choice, but energy, earnestness and pathos in the choosing [Kierkegaard]
     Full Idea: In making a choice, it is not so much a question of choosing the right way as of the energy, the earnestness, and the pathos with which one chooses.
     From: Søren Kierkegaard (Either/Or: a fragment of life [1843], p.106), quoted by Kevin Aho - Existentialism: an introduction 2 'Phenomenology'
     A reaction: I'm struggling to identify with the experience he is describing. I can't imagine a more quintessentially existentialist remark than this. Reference to 'energy' in choosing strikes me as very romantic. Is 'the way not taken' crucial (in 'pathos')?
24. Political Theory / D. Ideologies / 7. Communitarianism / b. Against communitarianism
Kierkegaard prioritises the inward individual, rather than community [Kierkegaard, by Carlisle]
     Full Idea: Whereas Hegel argues that individuals find fulfilment through participation in their community, Kierkegaard prioritises the inwardness of each person, which is shared only with God.
     From: report of Søren Kierkegaard (Either/Or: a fragment of life [1843]) by Clare Carlisle - Kierkegaard: a guide for the perplexed 3
     A reaction: Sounds like the protestant religion opposing the catholic religion (although Hegel was a protestant). Individual v community is the great debate of the last two centuries in Europe.
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]
     Full Idea: Kierkegaard doesn't use the phrase 'leap of faith'. His metaphor of a dancer's leap expresses the way faith goes 'up' towards God, but also comes back down to earth, and is a way of living in the world.
     From: report of Søren Kierkegaard (Either/Or: a fragment of life [1843]) by Clare Carlisle - Kierkegaard: a guide for the perplexed 2
     A reaction: This entirely contradicts what I was taught about this idea many years ago. Memes turn into Chinese whispers.