Combining Texts

All the ideas for 'On the Question of Absolute Undecidability', 'Concluding Unscientific Postscript' and 'Ordinatio'

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29 ideas

1. Philosophy / D. Nature of Philosophy / 5. Aims of Philosophy / d. Philosophy as puzzles
I conceived it my task to create difficulties everywhere [Kierkegaard]
     Full Idea: I conceived it my task to create difficulties everywhere.
     From: Søren Kierkegaard (Concluding Unscientific Postscript [1846], 'Author')
     A reaction: Nice. It is like Socrates's image of himself as the 'gadfly' of Athens. The interesting question is always to see what the rest of society makes of having someone in their midst who sees it as their social role to 'create difficulties'.
1. Philosophy / D. Nature of Philosophy / 8. Humour
Wherever there is painless contradiction there is also comedy [Kierkegaard]
     Full Idea: Wherever there is contradiction, the comical is also present. ...The tragic is the suffering contradiction, the comical is the painless contradiction.
     From: Søren Kierkegaard (Concluding Unscientific Postscript [1846], p.459), quoted by Terry Pinkard - German Philosophy 1760-1860 13
     A reaction: He is not saying that this is the only source of comedy. I once heard an adult say that there is one thing that is always funny, and that is a fart.
3. Truth / A. Truth Problems / 2. Defining Truth
Kierkegaard's truth draws on authenticity, fidelity and honesty [Kierkegaard, by Carlisle]
     Full Idea: Kierkegaard offers a different interpretation of truth, which draws on the notions of authenticity, fidelity and honesty.
     From: report of Søren Kierkegaard (Concluding Unscientific Postscript [1846]) by Clare Carlisle - Kierkegaard: a guide for the perplexed 4
     A reaction: This notion of truth, meaning 'the real thing' (as in 'she was a true scholar'), seems to begin with Hegel. I suggest we use the word 'genuine' for that, and save 'truth' for its traditional role. It is disastrous to blur the simple concept of truth.
3. Truth / A. Truth Problems / 3. Value of Truth
Pure truth is for infinite beings only; I prefer endless striving for truth [Kierkegaard]
     Full Idea: If God held all truth enclosed in his right hand, and in his left hand the ever-striving drive for truth, even if erring forever, and he were to say Choose! I would humbly fall at his left hand and say Father, give! Pure truth is for infinite beings only.
     From: Søren Kierkegaard (Concluding Unscientific Postscript [1846], p.106)
     A reaction: A sobering realistic thought of our own limitations; Kierkegaard allows that there is no limit to how far we can strive for truth. Just that truth is comprehended by infinite beings (if any), not by mere mortals. [SY]
3. Truth / A. Truth Problems / 8. Subjective Truth
The highest truth we can get is uncertainty held fast by an inward passion [Kierkegaard]
     Full Idea: An objective uncertainty held fast in an appropriation-process of the most passionate inwardness is the truth, the highest truth available for an existing individual.
     From: Søren Kierkegaard (Concluding Unscientific Postscript [1846])
     A reaction: [Bk 711] Offered as a definition of truth, knowing how strange and paradoxical it sounds. If we view all life as subjectivity, then there can of course be nothing more to truth than passionate conviction. Personally I think thought can be objective.
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)
8. Modes of Existence / B. Properties / 1. Nature of Properties
Accidents must have formal being, if they are principles of real action, and of mental action and thought [Duns Scotus]
     Full Idea: Accidents are principles of acting and principles of cognizing substance, and are the per se objects of the senses. But it is ridiculous to say that something is a principle of acting (either real or intentional) and yet does not have any formal being.
     From: John Duns Scotus (Ordinatio [1302], IV.12.1), quoted by Robert Pasnau - Metaphysical Themes 1274-1671 10.5
     A reaction: Pasnau cites this as the key scholastic argument for accidental properties having some independent and real existence (as required for Transubstantiation). Rival views say accidents are just 'modes' of a thing's existence. Aquinas compromised.
8. Modes of Existence / E. Nominalism / 1. Nominalism / a. Nominalism
If only the singular exists, science is impossible, as that relies on true generalities [Duns Scotus, by Panaccio]
     Full Idea: Scotus argued that if everything is singular, with no objective common feature, science would be impossible, as it proceeds from general concepts. General is the opposite of singular, so it would be inadequate to understand a singular reality.
     From: report of John Duns Scotus (Ordinatio [1302]) by Claude Panaccio - Medieval Problem of Universals 'John Duns'
     A reaction: [compressed] It is a fact that if you generalise about 'tigers', you are glossing over the individuality of each singular tiger. That is OK for 'electron', if they really are identical, but our general predicates may be imposing identity on electrons.
If things were singular they would only differ numerically, but horse and tulip differ more than that [Duns Scotus, by Panaccio]
     Full Idea: Scotus argued that there must be some non-singular aspects of things, since there are some 'less than numerical differences' among them. A horse and a tulip differ more from each other than do two horses.
     From: report of John Duns Scotus (Ordinatio [1302]) by Claude Panaccio - Medieval Problem of Universals 'John Duns'
     A reaction: This seems to treat being 'singular' as if it were being a singularity. Presumably he is contemplating a thing being nothing but its Scotist haecceity. A neat argument, but I don't buy it.
9. Objects / A. Existence of Objects / 5. Individuation / a. Individuation
We distinguish one thing from another by contradiction, because this is, and that is not [Duns Scotus]
     Full Idea: What is it [that establishes distinctness of things]? It is, to be sure, that which is universally the reason for distinguishing one thing from another: namely, a contradiction…..If this is, and that is not, then they are not the same entity in being.
     From: John Duns Scotus (Ordinatio [1302], IV.11.3), quoted by Robert Pasnau - Metaphysical Themes 1274-1671 08.2
     A reaction: This is a remarkably intellectualist view of such things. John Wycliff, apparently, enquired about how animals were going to manage all this sort of thing. It should appeal to the modern logical approach to metaphysics.
9. Objects / A. Existence of Objects / 5. Individuation / d. Individuation by haecceity
The haecceity is the featureless thing which gives ultimate individuality to a substance [Duns Scotus, by Cover/O'Leary-Hawthorne]
     Full Idea: For Scotus, the haecceity of an individual was a positive non-quidditative entity which, together with a common nature from which it was formally distinct, played the role of the ultimate differentia, thus individuating the substance.
     From: report of John Duns Scotus (Ordinatio [1302]) by Cover,J/O'Leary-Hawthorne,J - Substance and Individuation in Leibniz 6.1.3
     A reaction: Most thinkers seem to agree (with me) that this is a non-starter, an implausible postulate designed to fill a gap in a metaphysic that hasn't been properly worked out. Leibniz is the hero who faces the problem and works around it.
9. Objects / B. Unity of Objects / 1. Unifying an Object / b. Unifying aggregates
It is absurd that there is no difference between a genuinely unified thing, and a mere aggregate [Duns Scotus]
     Full Idea: It seems absurd …that there should be no difference between a whole that is one thing per se, and a whole that is one thing by aggregation, like a cloud or a heap.
     From: John Duns Scotus (Ordinatio [1302], III.2.2), quoted by Robert Pasnau - Metaphysical Themes 1274-1671 25.5
     A reaction: Leibniz invented monads because he was driven crazy by the quest for 'true unity' in things. Objective unity may be bogus, but I suspect that imposing plausible unity on things is the only way we can grasp the world.
9. Objects / C. Structure of Objects / 8. Parts of Objects / c. Wholes from parts
What prevents a stone from being divided into parts which are still the stone? [Duns Scotus]
     Full Idea: What is it in this stone, by which ...it is absolutely incompatible with the stone for it to be divided into several parts each of which is this stone, the kind of division that is proper to a universal whole as divided into its subjective parts?
     From: John Duns Scotus (Ordinatio [1302], II d3 p1 q2 n48)
     A reaction: This is the origin of the concept of haecceity, when Scotus wants to know what exactly individuates each separate entity. He may have been mistaken in thinking that such a question has an answer.
9. Objects / F. Identity among Objects / 8. Leibniz's Law
Two things are different if something is true of one and not of the other [Duns Scotus]
     Full Idea: If this is, and that is not, then they are not the same entity in being.
     From: John Duns Scotus (Ordinatio [1302], IV.11.3), quoted by Robert Pasnau - Metaphysical Themes 1274-1671 25.3
     A reaction: This is the contrapositive of the indiscernibility of identicals, expressed in terms of what is true about a thing, rather than what properties pertain to it.
16. Persons / B. Nature of the Self / 2. Ethical Self
The real subject is ethical, not cognitive [Kierkegaard]
     Full Idea: The real subject is not the cognitive subject …the real subject is the ethically existing subject.
     From: Søren Kierkegaard (Concluding Unscientific Postscript [1846], p.281), quoted by Kevin Aho - Existentialism: an introduction 2 'Subjective'
     A reaction: Perhaps we should say the essence of the self is its drive to live, not its drive to know. Just getting through the day is top priority, and ethics don’t figure much for the solitary person. But each activity, such as cooking, has its virtues.
23. Ethics / F. Existentialism / 1. Existentialism
While big metaphysics is complete without ethics, personal philosophy emphasises ethics [Kierkegaard]
     Full Idea: While the Hegelian philosophy goes on and is finished without having an Ethics, the more simple philosophy which is propounded by an existing individual for existing individuals, will more especially emphasis the ethical.
     From: Søren Kierkegaard (Concluding Unscientific Postscript [1846], 'Lessing')
     A reaction: This is reminiscent of the Socratic revolution, which shifted philosophy from the study of nature to the study of personal virtue. However, if we look for ethical teachings in existentialism, there often seems to be a black hole in the middle.
Speculative philosophy loses the individual in a vast vision of humanity [Kierkegaard]
     Full Idea: Being an individual man is a thing that has been abolished, and every speculative philosopher confuses himself with humanity at large, whereby he becomes infinitely great - and at the same time nothing at all.
     From: Søren Kierkegaard (Concluding Unscientific Postscript [1846], 'Lessing')
     A reaction: Compare Idea 4840. This is a beautiful statement of the motivation for existentialism. The sort of philosophers who love mathematics (Plato, Descartes, Leibniz, Russell) love losing themselves in abstractions. This is the rebellion.
23. Ethics / F. Existentialism / 6. Authentic Self
People want to lose themselves in movements and history, instead of being individuals [Kierkegaard]
     Full Idea: Everything must attach itself so as to be part of some movement; men are determined to lose themselves in the totality of things, in world-history, fascinated and deceived by a magic witchery; no one wants to be an individual human being.
     From: Søren Kierkegaard (Concluding Unscientific Postscript [1846])
     A reaction: [Bk 711] I presume 'world-history' refers to the exhilerating ideas of Hegel. Right now [2017] I would say we have far too much of people only wanting to be individuals, with insufficient attention to our social nature.
Becoming what one is is a huge difficulty, because we strongly aspire to be something else [Kierkegaard]
     Full Idea: Striving to become what one already is is a very difficult task, the most difficult of all, because every human being has a strong natural bent and passion to become something more and different.
     From: Søren Kierkegaard (Concluding Unscientific Postscript [1846], 'Subjective')
     A reaction: Presumably most people continually drift between vanity and low self-esteem, and between unattainable daydreams and powerless immediate reality. That creates the stage on which Kierkegaard's interesting battle would have to be fought.
28. God / A. Divine Nature / 2. Divine Nature
God does not think or exist; God creates, and is eternal [Kierkegaard]
     Full Idea: God does not think, He creates; God does not exist, he is eternal.
     From: Søren Kierkegaard (Concluding Unscientific Postscript [1846], 'Thinker')
     A reaction: The sort of nicely challenging remarks we pay philosophers to come up with. I don't understand the second claim, but the first one certainly avoids all paradoxes that arise if God experiences all the intrinsic problems of thinking.
28. God / B. Proving God / 3. Proofs of Evidence / d. Religious Experience
God cannot be demonstrated objectively, because God is a subject, only existing inwardly [Kierkegaard]
     Full Idea: Choosing the objective way enters upon the entire approximation-process by which it is proposed to bring God to light objectively. But this is in all eternity impossible, because God is a subject, and therefore exist only for subjectivity in inwardness.
     From: Søren Kierkegaard (Concluding Unscientific Postscript [1846])
     A reaction: [pg in 711] This seems to have something like Wittgenstein's problem with a private language - that with no external peer-review it is unclear what the commitment is.
28. God / C. Attitudes to God / 2. Pantheism
Pantheism destroys the distinction between good and evil [Kierkegaard]
     Full Idea: So called pantheistic systems have often been characterised and challenged by the assertion that they abrogate the distinction between good and evil.
     From: Søren Kierkegaard (Concluding Unscientific Postscript [1846], 'Lessing')
     A reaction: He will have Spinoza in mind. Interesting. Obviously this criticism would come from someone who thought that the traditional deity was the only source of goodness. Good/evil isn't all-or-nothing. A monistic system could contain them.
29. Religion / D. Religious Issues / 1. Religious Commitment / e. Fideism
Faith is the highest passion in the sphere of human subjectivity [Kierkegaard]
     Full Idea: Faith is the highest passion in the sphere of human subjectivity.
     From: Søren Kierkegaard (Concluding Unscientific Postscript [1846], 'Subjective')
     A reaction: The word 'highest' should always ring alarm bells. The worst sort of religious fanatics seem to be in the grip of this 'high' passion. The early twenty-first century is an echo of eighteenth century England, with its dislike of religious 'enthusiasm'.
Without risk there is no faith [Kierkegaard]
     Full Idea: Without risk there is no faith.
     From: Søren Kierkegaard (Concluding Unscientific Postscript [1846], 'Inwardness')
     A reaction: Remarks like this make you realise that Kierkegaard is just as much of a romantic as most of the other nineteenth century philosophers. Plunge into the dark unknown of the human psyche, in order to intensify and heighten human life.