21 ideas
| 9327 | Organisms understand their worlds better if they understand themselves [Gulick] |
| Full Idea: Organisms come to better understand their worlds by coming to better understand themselves and the ways in which their own structures engage their worlds. | |
| From: Robert van Gulick (Mirror Mirror - Is That All? [2006], §III) | |
| A reaction: Van Gulick is defending a higher-order theory of consciousness, but this strikes me as a good rationale for the target of philosophy, which has increasingly (since Descartes) focused on understanding our own minds. |
| 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) |
| 5109 | The fast runner must always reach the point from which the slower runner started [Zeno of Elea, by Aristotle] |
| Full Idea: Zeno's so-called 'Achilles' claims that the slowest runner will never be caught by the fastest runner, because the one behind has first to reach the point from which the one in front started, and so the slower one is bound always to be in front. | |
| From: report of Zeno (Elea) (fragments/reports [c.450 BCE]) by Aristotle - Physics 239b14 | |
| A reaction: The point is that the slower runner will always have moved on when the faster runner catches up with the starting point. We must understand how humble the early Greeks felt when they confronted arguments like this. It was like a divine revelation. |
| 1507 | We don't have time for infinite quantity, but we do for infinite divisibility, because time is also divisible [Aristotle on Zeno of Elea] |
| Full Idea: Although it is impossible to make contact in a finite time with things that are infinite in quantity, it is possible to do so with things that are infinitely divisible, since the time itself is also infinite in this way. | |
| From: comment on Zeno (Elea) (fragments/reports [c.450 BCE], A25) by Aristotle - Physics 233a21 |
| 1512 | Zeno is wrong that one grain of millet makes a sound; why should one grain achieve what the whole bushel does? [Aristotle on Zeno of Elea] |
| Full Idea: Zeno is wrong in arguing that the tiniest fragment of millet makes a sound; there is no reason why the fragment should be able to move in any amount of time the air which the whole bushel moved as it fell. | |
| From: comment on Zeno (Elea) (fragments/reports [c.450 BCE], A29) by Aristotle - Physics 250a16 |
| 1508 | Zeno's arrow paradox depends on the assumption that time is composed of nows [Aristotle on Zeno of Elea] |
| Full Idea: Zeno's third argument claims that a moving arrow is still. Here the conclusion depends on assuming that time is composed of nows; if this assumption is not granted, the argument fails. | |
| From: comment on Zeno (Elea) (fragments/reports [c.450 BCE], A27?) by Aristotle - Physics 239b5 |
| 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) |
| 9325 | In contrast with knowledge, the notion of understanding emphasizes practical engagement [Gulick] |
| Full Idea: In contrast with standard notions of knowledge, the concept of understanding emphasizes the element of practical engagement from the outset. | |
| From: Robert van Gulick (Mirror Mirror - Is That All? [2006], §II) | |
| A reaction: This could be the very interesting germ of a huge revolution in our approach to epistemology, which I find rather appealing. Plato's desire that knowledge should have 'logos' seems to me in the same area. It sounds rather internalist, which is good. |
| 9326 | Knowing-that is a much richer kind of knowing-how [Gulick] |
| Full Idea: Knowing-that is a much richer kind of knowing-how. | |
| From: Robert van Gulick (Mirror Mirror - Is That All? [2006], §II) | |
| A reaction: This thought could rather rapidly revive the discredited notion of knowing-how. I think it might slot into an account of the mind in terms of levels, so that my internalist view of knowledge emerges at higher levels, built on more basic responses. |
| 9319 | Is consciousness a type of self-awareness, or is being self-aware a way of being conscious? [Gulick] |
| Full Idea: Is consciousness just a special type of self-awareness, or is being self-aware a special way of being conscious? | |
| From: Robert van Gulick (Mirror Mirror - Is That All? [2006], Intro) | |
| A reaction: This is a really good key question, which has hovered over the debate since Locke's definition of a person (as 'self-aware'). I take the self to be a mechanism of most brains, which is prior to consciousness. Maybe the two are inseparable. |
| 9320 | Higher-order theories divide over whether the higher level involves thought or perception [Gulick] |
| Full Idea: Higher-order thought (HOT) models treat metastates as thought-like, and higher-order perception (HOP) models regard them as at least quasi-perceptual and resulting from some form of inner monitoring or inner sense. | |
| From: Robert van Gulick (Mirror Mirror - Is That All? [2006], §I) | |
| A reaction: I would understand 'thought' to at least partially involve judgements. The HOT theory (Carruthers) seems to suit epistemological foundationalists, who want truth to enter on the ground floor. This pushes me towards the HOP model (Lycan) as more plausible. |
| 9321 | Higher-order models reduce the problem of consciousness to intentionality [Gulick] |
| Full Idea: Higher-order models would effectively reduce the problem of consciousness to that of intentionality. | |
| From: Robert van Gulick (Mirror Mirror - Is That All? [2006], §I) | |
| A reaction: This gives the bigger picture - that higher-order theories are the cutting edge of attempts to give a naturalistic, reductivist account of consciousness. That seems to be the only way to go, so we should encourage them in the enterprise. |
| 9322 | Maybe qualia only exist at the lower level, and a higher-level is needed for what-it-is-like [Gulick] |
| Full Idea: Some higher-order theorists say we have qualitative but unconscious mental states of color or pain (qualia), but there is nothing it is like to be in such a state, which needs higher-order awareness. The meta-states are devoid of qualia. | |
| From: Robert van Gulick (Mirror Mirror - Is That All? [2006], §I.5) | |
| A reaction: He calls this the 'stranded qualia' problem. Clearly one begins to sharpen Ockham's Razor at this point, if the higher-level state isn't contributing something. I don't rule out unconscious qualia. The strength of a real pain is distorted in a dream. |
| 454 | If there are many things they must have a finite number, but there must be endless things between them [Zeno of Elea] |
| Full Idea: It things are many, they can't be more or less than they are, so they must be finite, but also there must be endless things between each thing, so they must be infinite. | |
| From: Zeno (Elea) (fragments/reports [c.450 BCE], B3), quoted by Simplicius - On Aristotle's 'Physics' 140.29 |
| 455 | That which moves, moves neither in the place in which it is, nor in that in which it is not [Zeno of Elea] |
| Full Idea: That which moves, moves neither in the place in which it is, nor in that in which it is not. | |
| From: Zeno (Elea) (fragments/reports [c.450 BCE], B4), quoted by (who?) - where? |
| 1511 | If everything is in a place, what is the place in? Place doesn't exist [Zeno of Elea, by Simplicius] |
| Full Idea: If there is a place it will be in something, because everything that exists is in something. But what is in something is in a place. Therefore the place will be in a place, and so on ad infinitum. Therefore, there is no such thing as place. | |
| From: report of Zeno (Elea) (fragments/reports [c.450 BCE], B3) by Simplicius - On Aristotle's 'Physics' 9.562.3 |
| 9324 | From the teleopragmatic perspective, life is largely an informational process [Gulick] |
| Full Idea: From the teleopragmatic perspective, life itself is largely an informational process. | |
| From: Robert van Gulick (Mirror Mirror - Is That All? [2006]) | |
| A reaction: From the cynical perspective a human is just 'blood and foul smell in a bag', but that may not give you whole story. The point here is that the informational view will cover both the genetic and the mental levels of human life. True but unilluminating? |