38 ideas
| 21474 | Metaphysics studies the inexplicable ends of explanation [Schopenhauer] |
| Full Idea: The plummet touches the bottom of the sea now at a greater depth, now at a less, but is bound to reach it somewhere sooner or later; the study of this inexplicable devolves upon metaphysics. | |
| From: Arthur Schopenhauer (Parerga and Paralipomena [1851], I:1) | |
| A reaction: This definition of metapysics contains the germ of despair about the subject. Does he hope that metaphysicians can explain what nobody else can? |
| 14600 | Analysis aims at secure necessary and sufficient conditions [Schaffer,J] |
| Full Idea: An analysis is an attempt at providing finite, non-circular, and intuitively adequate necessary and sufficient conditions. | |
| From: Jonathan Schaffer (Causation and Laws of Nature [2008], 3) | |
| A reaction: Specifying the 'conditions' for something doesn't seem to quite add up to telling you what the thing is. A trivial side-effect might qualify as a sufficient condition for something, if it always happens. |
| 14603 | 'Reification' occurs if we mistake a concept for a thing [Schaffer,J] |
| Full Idea: 'Reification' occurs when a mere concept is mistaken for a thing. We seem generally prone to this sort of error. | |
| From: Jonathan Schaffer (Causation and Laws of Nature [2008], 3.1) | |
| A reaction: Personally I think we should face up to the fact that this is the only way we can think about generalised or abstract entities, and stop thinking of it as an 'error'. We have evolved to think well about objects, so we translate everything that way. |
| 14607 | T adds □p→p for reflexivity, and is ideal for modeling lawhood [Schaffer,J] |
| Full Idea: System T is a normal modal system augmented with the reflexivity-generating axiom □p→p, and is, I think, the best modal logic for modeling lawhood. | |
| From: Jonathan Schaffer (Causation and Laws of Nature [2008], n46) | |
| A reaction: Schaffer shows in the article why transitivity would not be appropriate for lawhood. |
| 17884 | 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) |
| 17893 | '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) |
| 17894 | 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) |
| 17890 | 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] |
| 17887 | 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. |
| 17891 | 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) |
| 14604 | If a notion is ontologically basic, it should be needed in our best attempt at science [Schaffer,J] |
| Full Idea: Science represents our best systematic understanding of the world, and if a certain notion proves unneeded in our best attempt at that, this provides strong evidence that what this notion concerns is not ontologically basic. | |
| From: Jonathan Schaffer (Causation and Laws of Nature [2008], 3.2) | |
| A reaction: But is the objective of science to find out what is 'ontologically basic'? If scientists can't get a purchase on a question, they have no interest in it. What are electrons made of? |
| 14599 | Three types of reduction: Theoretical (of terms), Definitional (of concepts), Ontological (of reality) [Schaffer,J] |
| Full Idea: Theoretical reduction concerns terms found in a theory; Definitional reduction concerns concepts found in the mind; Ontological reduction is independent of how we conceptualize entities, or theorize about them, and is about reality. | |
| From: Jonathan Schaffer (Causation and Laws of Nature [2008], 1) | |
| A reaction: An Aristotelian definition refers to reality, rather than to our words or concepts. |
| 21470 | For me the objective thing-in-itself is the will [Schopenhauer] |
| Full Idea: Thing in itself signifies that which exists independently of our perception, that which actually is; …to Kant it was '= x'; to me it is will. | |
| From: Arthur Schopenhauer (Parerga and Paralipomena [1851], IV:61) | |
| A reaction: Does he mean his own will, which is plausible since he has direct experience of it, or is he referring will in general - whatever that is? |
| 14605 | Tropes are the same as events [Schaffer,J] |
| Full Idea: Tropes can be identified with events. | |
| From: Jonathan Schaffer (Causation and Laws of Nature [2008], n17) | |
| A reaction: This is presumably on the view of events, associated with Kim, as instantiations of properties. This idea is a new angle on tropes and events which had never occurred to me. |
| 14601 | Individuation aims to count entities, by saying when there is one [Schaffer,J] |
| Full Idea: Individuation principles are attempts to describe how to count entities in a given domain, by saying when there is one. | |
| From: Jonathan Schaffer (Causation and Laws of Nature [2008], 3) | |
| A reaction: At last, someone tells me what they mean by 'individuation'! So it is just saying what your units are prior to counting, followed (presumably) by successful counting. It seems to aim more at kinds than at particulars. |
| 14606 | Only ideal conceivability could indicate what is possible [Schaffer,J] |
| Full Idea: The only plausible link from conceivability to possibility is via ideal conceivability. | |
| From: Jonathan Schaffer (Causation and Laws of Nature [2008], n22) | |
| A reaction: [He cites Chalmers 2002] I'm not sure what 'via' could mean here. Since I don't know any other way than attempted conceivability for assessing a possibility, I am a bit baffled by this idea. |
| 21479 | Knowledge is not power! Ignorant people possess supreme authority [Schopenhauer] |
| Full Idea: Knowledge is power. The devil it is! One man can have a great deal of knowledge without its giving him the least power, while another possesses supreme authority but next to no knowledge. | |
| From: Arthur Schopenhauer (Parerga and Paralipomena [1851], III:43) | |
| A reaction: He is referring to Bacon's famous adage. Bacon may be right about military affairs, but not about politics. |
| 21476 | A priori propositions are those we could never be seriously motivated to challenge [Schopenhauer] |
| Full Idea: A dictate of reason is the name we give to certain propositions which we hold to be true without investigation, and of which we think ourselves so firmly convinced we should be incapable of seriously testing them even if we wanted to. | |
| From: Arthur Schopenhauer (Parerga and Paralipomena [1851], I:12) | |
| A reaction: This is closer to the cautious way modern thinkers are inclined to express the idea. Even Quine would be reasonably happy with this. |
| 21473 | All knowledge and explanation rests on the inexplicable [Schopenhauer] |
| Full Idea: The fundament upon which all our knowledge and learning rests is the inexplicable. It is to this that every explanation, through few or many intermediary stages, leads. | |
| From: Arthur Schopenhauer (Parerga and Paralipomena [1851], I:1) | |
| A reaction: This is obviously true, and the only question is whether it is a necessary or a contingent truth. |
| 21478 | Half our thinking is unconscious, and we reach conclusions while unaware of premises [Schopenhauer] |
| Full Idea: One might almost believe that half our thinking takes place unconsciously.. Usually we arrive at a conclusion without having clearly thought about the premises which lead to it. | |
| From: Arthur Schopenhauer (Parerga and Paralipomena [1851], III:40) | |
| A reaction: Schopenhauer was a major pioneer of this crucial idea. I'm beginning to think it is much greater than a half. |
| 21477 | We don't control our own thinking [Schopenhauer] |
| Full Idea: Thoughts come not when we want but when they want. | |
| From: Arthur Schopenhauer (Parerga and Paralipomena [1851], III:37) | |
| A reaction: One of my favourite Nietzsche ideas originated in Schopenhauer! |
| 21475 | All of our concepts are borrowed from perceptual knowledge [Schopenhauer] |
| Full Idea: The entire property of a concept consists in nothing more than what has been begged and borrowed from perceptual knowledge, which is the true and inexhaustible source of all insight. | |
| From: Arthur Schopenhauer (Parerga and Paralipomena [1851], I:9) | |
| A reaction: Schopenhauer is usually seen as a sort of idealist, but this is a full endorsement of the empirical view of concepts, to which I largely subscribe. Note that he talks of 'knowledge', rather than of 'experience'. |
| 21372 | Aesthetics concerns how we can take pleasure in an object, with no reference to the will [Schopenhauer] |
| Full Idea: The central problem of aesthetics is how satisfaction with and pleasure in an object are possible without any reference thereof to our willing. | |
| From: Arthur Schopenhauer (Parerga and Paralipomena [1851], II:415), quoted by Christopher Janaway - Schopenhauer 6 'Aesthetic' | |
| A reaction: This does seem a good distinction. We can divide pleasures into willed and unwilled. Compare thinking that some remote stranger (in a photograph) is very beautiful, with falling in love with someone. |
| 21488 | The beautiful is a perception of Plato's Forms, which eliminates the will [Schopenhauer] |
| Full Idea: In the beautiful we always perceive the intrinsic and primary form of animate and inanimate nature, that is to say Plato's Ideas thereof. …When an aesthetic perception occurs the will completely vanishes from consciousness. | |
| From: Arthur Schopenhauer (Parerga and Paralipomena [1851], XIX:205) | |
| A reaction: An essential Schopenauer idea. Iris Murdoch said something similar. |
| 21483 | Man is essentially a dreadful wild animal [Schopenhauer] |
| Full Idea: Man is at bottom a dreadful wild animal. | |
| From: Arthur Schopenhauer (Parerga and Paralipomena [1851], VIII:114) | |
| A reaction: As an example he cites the slave owners in the United States. |
| 21466 | Pleasure is weaker, and pain stronger, than we expect [Schopenhauer] |
| Full Idea: As a rule we find pleasure much less pleasurable, pain much more painful than we expected. | |
| From: Arthur Schopenhauer (Parerga and Paralipomena [1851], XII:149) | |
| A reaction: Never go on holiday with Schopenhauer. This is more accurate about pain, I think. |
| 21484 | A man's character can be learned from a single characteristic action [Schopenhauer] |
| Full Idea: As a botanist can recognise the whole plant from one leaf, …so an accurate knowledge of a man's character can be arrived at from a single characteristic action. | |
| From: Arthur Schopenhauer (Parerga and Paralipomena [1851], VIII:118) | |
| A reaction: Very true. Great novelists specialise in such observations. One word can reveal a character, as well as one action. |
| 21481 | Buddhists wisely start with the cardinal vices [Schopenhauer] |
| Full Idea: Because of their profounder ethical and metaphysical insight, the Buddhists start not with the cardinal virtues but with cardinal vices, …which are lust, sloth, wrath and avarice (and maybe hatred). | |
| From: Arthur Schopenhauer (Parerga and Paralipomena [1851], VIII:110) | |
| A reaction: This may be right. Our lives are affected much more by the vices of others than by their virtues, and most virtuous behaviour aims at rectifying the bad effects of other people's vices. |
| 21482 | The five Chinese virtues: pity, justice, politeness, wisdom, honesty [Schopenhauer] |
| Full Idea: The Chinese name five cardinal virtues: pity, justice, politeness, wisdom and honesty. | |
| From: Arthur Schopenhauer (Parerga and Paralipomena [1851], VIII:110) | |
| A reaction: I like politeness being on the list, though it seems rather superficial to be a virtue of character. Respect would be better. |
| 21480 | Boredom is only felt by those clever enough to need activity [Schopenhauer] |
| Full Idea: Only in the cleverest animals such as dogs and apes does the need for activity, and with that boredom, make itself felt. | |
| From: Arthur Schopenhauer (Parerga and Paralipomena [1851], III:50) | |
| A reaction: But it is much more frequently young creatures, of almost any kind, that seek constant activity, and get continually restless. The most active adults need not be the cleverest. |
| 21469 | Human life is a mistake, shown by boredom, which is direct awareness of the fact [Schopenhauer] |
| Full Idea: Human life must be some kind of mistake. ...Boredom is a direct proof that existence is in itself valueless, for boredom is nothing other than the sensation of the emptiness of existence. | |
| From: Arthur Schopenhauer (Parerga and Paralipomena [1851], XI:146) | |
| A reaction: I think it is a good advertisement for existentialism that it makes something more out of boredom than Schopenhauer does. |
| 21485 | The state only exists to defend citizens, from exterior threats, and from one another [Schopenhauer] |
| Full Idea: The state is essentially no more than an institution for the protection of the whole against attacks from without, and the protection of its individual members from attacks by one another. | |
| From: Arthur Schopenhauer (Parerga and Paralipomena [1851], IX:123) | |
| A reaction: He then has a swipe at Hegel for his inflated idea of the importance of the state. Schopenhauer is close to Hobbes on this one. |
| 21486 | Poverty and slavery are virtually two words for the same thing [Schopenhauer] |
| Full Idea: Poverty and slavery are only two forms - on might almost say two words for - the same thing, the essence of which is that a man's energies are expended for the most part not on his own behalf but on that of others. | |
| From: Arthur Schopenhauer (Parerga and Paralipomena [1851], IX:125) | |
| A reaction: The modern world is full of people who righteously despise slavery, but think only of the poor that it serves them right. |
| 21487 | The freedom of the press to sell poison outweighs its usefulness [Schopenhauer] |
| Full Idea: Freedom of the press must be regarded as a permit to sell poison. …I very much fear, therefore, that the dangers of press freedom outweigh its usefulness. | |
| From: Arthur Schopenhauer (Parerga and Paralipomena [1851], IX:127) | |
| A reaction: On the whole the modern world disagrees with this view, but watching the popular press in Britain in the last twenty years has made me sympathise with Schopenhauer. |
| 21471 | If suicide was quick and easy, most people would have done it by now [Schopenhauer] |
| Full Idea: Perhaps there is no one alive who would not already have put an end to his life if this end were something purely negative, a sudden cessation of existence. | |
| From: Arthur Schopenhauer (Parerga and Paralipomena [1851], XIII:158) | |
| A reaction: Nonsense, on the whole, but it is a nice question how many people would do it if it only took a painless instant. |
| 21467 | Would humanity still exist if sex wasn't both desired and pleasurable? [Schopenhauer] |
| Full Idea: If the act of procreation were neither the outcome of a desire nor accompanied by feelings of pleasure, but a matter to be decided on the basis of purely rational considerations, is it likely the human race would still exist? | |
| From: Arthur Schopenhauer (Parerga and Paralipomena [1851], XII:156) | |
| A reaction: This is almost certainly correct in the modern world. In tougher economic circumstances people seem desperate to have children who will help them survive. |
| 21472 | Only religion introduces serious issues to uneducated people [Schopenhauer] |
| Full Idea: Religion is the only means of introducing some notion of the high significance of life into the uncultivated heads of the masses. | |
| From: Arthur Schopenhauer (Parerga and Paralipomena [1851], XV:174) | |
| A reaction: Cf Philip Larkin's poem 'Church Going'. On the whole Schopenhauer didn't actually believe that our lives had any 'high significance'. |
| 21468 | The Creator created the possibilities for worlds, so should have made a better one than this possible [Schopenhauer] |
| Full Idea: The Creator created not only the world, but also created possibility itself; therefore he should have created the possibility of a better world than this one. | |
| From: Arthur Schopenhauer (Parerga and Paralipomena [1851], XII:156) | |
| A reaction: This is explicitly a response to Leibniz's claim that the Creator selected the best of all possible worlds from the available options. The Euthyphro Question hovers here: must the Creator accept what is possible (the platonic view), or create possibility? |