14 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. |
| 8921 | Structuralism is now common, studying relations, with no regard for what the objects might be [Hellman] |
| Full Idea: With developments in modern mathematics, structuralist ideas have become commonplace. We study 'abstract structures', having relations without regard to the objects. As Hilbert famously said, items of furniture would do. | |
| From: Geoffrey Hellman (Structuralism [2007], §1) | |
| A reaction: Hilbert is known as a Formalist, which suggests that modern Structuralism is a refined and more naturalist version of the rather austere formalist view. Presumably the sofa can't stand for six, so a structural definition of numbers is needed. |
| 8698 | Modal structuralism says mathematics studies possible structures, which may or may not be actualised [Hellman, by Friend] |
| Full Idea: The modal structuralist thinks of mathematical structures as possibilities. The application of mathematics is just the realisation that a possible structure is actualised. As structures are possibilities, realist ontological problems are avoided. | |
| From: report of Geoffrey Hellman (Mathematics without Numbers [1989]) by Michèle Friend - Introducing the Philosophy of Mathematics 4.3 | |
| A reaction: Friend criticises this and rejects it, but it is appealing. Mathematics should aim to be applicable to any possible world, and not just the actual one. However, does the actual world 'actualise a mathematical structure'? |
| 9557 | Statements of pure mathematics are elliptical for a sort of modal conditional [Hellman, by Chihara] |
| Full Idea: Hellman represents statements of pure mathematics as elliptical for modal conditionals of a certain sort. | |
| From: report of Geoffrey Hellman (Mathematics without Numbers [1989]) by Charles Chihara - A Structural Account of Mathematics 5.3 | |
| A reaction: It's a pity there is such difficulty in understanding conditionals (see Graham Priest on the subject). I intuit a grain of truth in this, though I take maths to reflect the structure of the actual world (with possibilities being part of that world). |
| 10263 | Modal structuralism can only judge possibility by 'possible' models [Shapiro on Hellman] |
| Full Idea: The usual way to show that a sentence is possible is to show that it has a model, but for Hellman presumably a sentence is possible if it might have a model (or if, possibly, it has a model). It is not clear what this move brings us. | |
| From: comment on Geoffrey Hellman (Mathematics without Numbers [1989]) by Stewart Shapiro - Philosophy of Mathematics 7.3 | |
| A reaction: I can't assess this, but presumably the possibility of the model must be demonstrated in some way. Aren't all models merely possible, because they are based on axioms, which seem to be no more than possibilities? |
| 8922 | Maybe mathematical objects only have structural roles, and no intrinsic nature [Hellman] |
| Full Idea: There is the tantalizing possibility that perhaps mathematical objects 'have no nature' at all, beyond their 'structural role'. | |
| From: Geoffrey Hellman (Structuralism [2007], §1) | |
| A reaction: This would fit with a number being a function rather than an object. We are interested in what cars do, not the bolts that hold them together? But the ontology of mathematics is quite separate from how you do mathematics. |
| 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. |
| 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? |
| 9287 | Bruno said that ancient Egyptian magic was the true religion [Bruno, by Yates] |
| Full Idea: Giordano Bruno maintained that the magical Egyptian religion of the world was not only the most ancient but also the only true religion, which both Judaism and Christianity had obscured and corrupted. | |
| From: report of Giordano Bruno (works [1590]) by Frances A. Yates - Giordano Bruno and Hermetic Tradition Ch.1 | |
| A reaction: His beliefs were based on the Hermetic writings. No wonder he was burned at the stake. Atheists now lay flowers at his memorial in Rome. The sixteenth century was when the hunt for alternatives to established religion began. |