. Numerical values originate with counting, 'how many'. Qualitative values originate with judgement. ' — Wayfarer
Not all the blame falls on the mirror then, huh? Suppose a line's on the line of symmetry (flush with the mirror's surface), this line, as per you, doesn't undergo lateral inversion then. However, such a line (remember only 2D objects can achieve 0 distance between itself and the mirror's surface/line of reflection) and the line of reflection/the mirror surface would be indistinguishable i.e. we're no longer talking about an object at all but the mirror itself. — Agent Smith
I don't see it that way. Numbers are sets that arise out of iteration and partition.
Start with /
Iterate //
Reiterate ///
etc /////////////////////////////...
Partition each step into {/} {//} {///} {////} {/////}...These are sets. Numbers are sets.
In familiar symbols these are 1, 2, 3, 4, 5,...
This is how set theory defines numbers. There are no values ascribed here. — EnPassant
I really don't believe that is the point. I think the point is that the expression '=' or 'is', strictly speaking is only completely accurate in the case of A=A. In other arithmetical expressions, the "=" sign denotes an exactness which is never the case for empirical objects. Mathematical statements have an exactitude which is never truly characteristic of the sense-able realm. Statements about the empirical world are always approximations, because the objects of empirical analysis always consist of an admixture of being and becoming. The reason that 'the law of identity' is being dismissed as a trivial tautology is because this is not seen. It goes back to Parmenides' discussion of the 'nature of what is'. — Wayfarer
Not buying, sorry. I think this obliterates a distinction of the first order. — Wayfarer
But you're equivocating the meaning of 'value'. In maths,'value' is a number signifying the result of a calculation or function. In ethics and philosophy, values are basic and fundamental beliefs that guide or motivate attitudes or actions. So the meaning of 'value' is different according to the context. — Wayfarer
Assuredly. That A=A is not dependent on your or my mind, or on your or my assent. But it can nevertheless only be grasped by a rational intelligence. That is why I favour the form of objective idealism which says there are real ideas that are not dependent on our minds, but which can only be grasped by a mind. — Wayfarer
Can you give an example of how mathematics is a value judgement. I suppose they are very few. — EnPassant
n short, if there's an object, we have two lines perpendicular to each other passing through this object with their point of intersection somewhere inside that object. This framework then provides us with chirality/handedness.
When I look in the mirror, I see myself looking back at me (the reflection). Based on the above system of lines, my left becomes my image's right and my right becomes the image's left (lateral inversion). — Agent Smith
I can't see how that can be true. Mathematics is purely quantitative, surely? 2 x 2 = 4 whether I like it or not, whether I think it's appealing or not. — Wayfarer
There's a difference though but I trust mathematicians - there must've been a very good reason lateral inversion has been swept under the rug. Can you figure out why? — Agent Smith
he general point to make is to begin to distinguish the roles of quantitative analysis and qualitative judgement (a.k.a. 'value judgement') in human affairs. Science is grounded in quantitative analysis, even if judgement always plays a role in e.g. what to measure, what experiment to pursue, what is worth investigating, and so on.
...
From this it is hoped to arrive at the most general idea possible, an hypothesis, which unites disparate observations into a coherent theory. But it can only ever proceed in terms of what is measurable or quantifiable. So I don't agree that it is the most rational way to evaluate 'the world'. — Wayfarer
AgentTangarine is a bot. Not a real member posting. Can we put a restraining feature on this bot? — Caldwell
The A-field in QED is caused by the electrons themselves and they induce local gauge transformations on the electron field, precisely in such a way that the Lagrangian of the conserved. The gauge changes introduced cause similar shifts in interference patterns as in the BA effect. This causes electron fields to get shifted like the interference pattern is shifted in the effect above-mentioned. The difference is that the shift is not the same everywhere (global) but rather varies from place to place. The induced local gauge transformations show themselves as interference effects (which is the only way to observe rotations of internal vectors in the complex plane). — AgentTangarine
This is almost similar to what I'm saying above. Symmetry becomes the object itself, and the main event becomes the background -- a supporting role to symmetry. Is this close to what you're thinking here? — Caldwell
On the contrary, the second notion of symmetry(17th c) from the quote you provided, ignores the location or context. The left and right are simply equal, or they mimic each other. While the first notion, which is the ancient definition of symmetry, refers to balance. This symmetry, I think, is what's dependent on location. You'll find this a lot in art composition -- paintings for example, around the 15th century. — Caldwell
Good topic, but out of sync, I'm afraid. — Caldwell
You touch upon a deep issue here, as a matter of fact! It is claimed that symmetries lay at the basis of forces.The SU(2)l×SU(1)ySU(2)l×SU(1)y symmetry for the so-called unified force (splitting in the EM force and weak force after a break of symmetry, namely that of the Higgs potential) the SU(3)SU(3) symmetry for the color force, and a coordinate symmetry for general relativity. You can perform symmetry operations without truly change a system. This is simply done mentally, and by demanding symmetry, forces arise, while in fact it's the other way round. It are forces which give rise to symmetry principles. You can literally force symmetry transformations upon nature, like you do with the squares, and retrospectivelyclaim that forces are the result, but that's indeed putting the horse behind the wagon. You can rotate all points of a square locally and say that because of this forces will appear in the square to let it keep its shape (making it symmetrical wrt to local rotations or gauges), but as you say, you have to pull and push it first for these forces to appear. — AgentTangarine
Your reading of my position, MU, seem uncharitable and tendentious to say the least. Anyway, forget me; read some P. Foot, O. Flanagan, D. Parfit, M. Nussbaum, A. Sen, P. Singer, K. Popper ... — 180 Proof
Does it then follow from this that we cannot talk about our internal experiences of pain, hope, joy, sadness, etc? Obviously we can talk about these things, we do it all the time. This then brings us back to the notion of how meaning does get a foothold. — Sam26
The strange thing with squares is that they do stay the same after rotation. It's relation with surrounding squares may become different, but the square by itself stays the same. — AgentTangarine
If you play soccer with a ball protected by a coat then the ball beneath the coat will be the same ball before and after the game. Demanding that the ball stays the same under kicks and stops will introduce forces in the ball. Demanding that it stays the same in free flight will render it force free (this is the essence of Noether's theorem,). — AgentTangarine
The only misunderstanding, is if someone wants to talk about the thing in the box in this way (again it's not me or W.). It would be the interlocutor responding to Wittgenstein's beetle example, i.e., they would be trying to describe the thing in the box as a kind of picture. So, the only confusion here, is you not understanding the point of W.'s remarks. — Sam26
I don't know what to tell you MU, you do this all the time, and no matter how many times people try to explain it to you, you seem stuck in a place that no one can free you from. And, this is why I generally don't respond to your posts. Luke spent a long time with you trying to explain your misunderstandings, but to no avail. All I can tell you is that your interpretations of W. are so far from the norm, that I wonder if we're both speaking English. — Sam26
Let us continue with Wittgenstein’s thinking: “If you say he sees a private picture before him, which he is describing, you have still made an assumption about what he has before him. And that means that you can describe it or do describe it more closely. If you admit that you haven’t any notion what kind of thing it might be that he has before him—then what leads you into saying, in spite of that, that he has something before him? Isn’t it as if I were to say of someone: ‘He something. But I don’t know whether it is money, or debts, or an empty till (PI 294).’”
Even if you say that the inner thing is a kind of picture, you are still making an assumption with no content. There is no way to describe it, you cannot see inside the other person’s box, so it is an empty assumption. And, of course, if you admit, Wittgenstein says, that you have no notion of the thing in the box, then how is it that you want to say there is something there? Maybe you could respond, “Because I have these kinds of inner things.” Yes, there are these internal experiences going on, but none of us can observe these internal happenings, it is like the beetle in the box example. Does it then follow from this that we cannot talk about our internal experiences of pain, hope, joy, sadness, etc? Obviously we can talk about these things, we do it all the time. This then brings us back to the notion of how meaning does get a foothold. — Sam26
Are you averring that there is such a thing as a square? I myself would say that squareness is a quality, and that quality retained by that thing that possessed it notwithstanding rotation. — tim wood
Or using your criteria of movement as change and change meaning no-longer-the-same, then it would follow that nothing is ever even the same as itself (not least because we know that everything is in constant motion), and thus nothing could ever be sensibly said of anything. (Because the thing spoken of, by the time spoken, would no longer be that thing.) And any abstraction would necessarily apply to no thing - and absurdly, not even to itself. — tim wood
While their may be an iota of wisdom in this, it is at the same time non-sense. — tim wood
Perhaps the bedrock here is that there is no bedrock. Truly all is seeming - qualities - and not being. But we take it for being; it works as being and for being, and that's an end of it! Or where would you go with your ideas? — tim wood
Reread the post of mine you've quoted. There's no mention of a "particular species". I wrote "natural species" with "our" in parenthesis to include h. sapiens. Maybe not clear enough ... well, "natural" connotes any other species as well as ours; so 'what's good for each species for thriving' is specific to each species and therefore differ, by degrees (not kind), from one another, suggesting that moral concern is, on a naturalistic basis, inherently pluralistic (i.e. inclusive). — 180 Proof
'Natural goodness', as Philippa Foot, says is the immanent "source of the ethics" for natural beings – pursuing what is good for ((our) natural species') thriving and avoiding / reducing what is not good for ((our) natural species') thriving. A modern formulation of fundamental insight shared by Laozi, Kǒngzǐ, Buddha, Hillel the Elder, Epicurus-Lucretius, Diogenes the Kynic, Seneca-Epictetus, ... Spinoza, et al. — 180 Proof
Are you saying that if I turn a square 360 degrees it is no longer a square? — tim wood
That reality is intelligible is the presupposition of all scientific endeavours: that the intelligibility science proposes is always subject to empirical verification means that science never actually explains existence itself but must submit itself to a reality check against the empirical data. This existential gap between scientific hypotheses and empirical verified judgment points to, in philosophical terms, the contingency of existence. There is no automatic leap from hypothesis to reality that can bypass a "reality check." — Neil Ormerod, The Metaphysical Muddle of Lawrence Krauss
Not for all P. P must have certain qualities to be either true or false: call it truth-capable or false-capable. Lacking those, the LEM, then, simply does not apply. — tim wood
One of the two propositions in such instances must be true and the other false, but we cannot say determinately that this or that is false, but must leave the alternative undecided. — tim wood
Yet this view leads to an impossible conclusion; for we see that both deliberation, and action are causative with regard to the future, and that, to speak more generally, in those things which are not continuously actual there is a potentiality in either direction. Such things may either be or not be; events also therefore may either take place or not take place. There are many obvious instances of this.
...
It is therefore plain that it is not of necessity that everything is or takes place; but in some instances there are real alternatives, in which case the affirmation is no more true and no more false than the denial; while some exhibit a predisposition and general tendency in one direction or the other, and yet can issue in the opposite direction by exception.
And here we are at absolute presuppositions. They're both absolutely presupposed in their respective systems. Not,, then, a question of right, but of efficacy. You mention the "force" of gravity. Absolutely, and it works: F = G(m1)(m2) / r^2. F of course for force. The only trouble being that these days and for some time, gravity has been understood not as a force, but as a curvature of spacetime, objects merely following shortest distance paths, geodesics, through spacetime. Gravity as force is a sometimes convenient fiction, and the math works well-enough, but not how it works according to best understanding.
So we're back to models. And your point remains obscure and obscured. — tim wood
Can you clarify this? Let P be the proposition that tomorrow I will have turned to the left. P is today neither true nor false. What is the exception to the LEM? What reality? — tim wood
But what would be here the difference between the logical and the ontological possibility, the possibility having been arrived at as a possibility? — tim wood
I think this is misleading. To be sure, this true of all models. But this just a conscious setting aside of the irrelevant - not a deficiency for a model. It leaves open the question as to whether it is a good or a bad model. — tim wood
You might like this — Wayfarer
You know all about Mickleson-Morley - it's generally accepted there is no aether. — tim wood
Which opens up the question of the independent reality of descriptors. Two pears and two pears are four pears. The pears are real, but the two, four, addition, equaling, all of that, ideas, nothing in the reality that holds the pears. Similarly with odds. — tim wood
Bottom line for me, if you insist the waves are real, then what is the nature of their reality? — tim wood
I don’t think so. I think there are strong objections to the single home theory, but they don’t touch the idea of a word being at home in a language-game, having a role or a function. It’s easier to see in the negative: if you’re working on a bit of carpentry and you have the wood, hammer, nails, screws, drill, ruler, sandpaper, and so on, then the soldering iron doesn’t belong here. — Srap Tasmaner
The homonym business — eh, it’s almost semantics. The one argument against it would be that in introducing a word into a language-game it does not already have a role in, you’re relying to some degree on people’s understanding of how the word is used elsewhere — either for the metaphor, or by making a case that there’s a strong analogy between the known use and the new one. It would be hard to pitch a known word as an empty vessel you can add a new meaning to at will. (A somewhat outlandish metaphor can do the trick. Timothy Williamson got mainstream philosophers to talk about “luminosity”.) — Srap Tasmaner
One point from the other direction doesn’t seem to be brought up much: must a word have a single use in a language-game? Why couldn’t a word have multiple uses in the same language-game? — Srap Tasmaner
More importantly, I don't see that your interpretation has any traction. — Sam26
I’m sympathetic to your thinking in this post, but this is backwards. That is, you’re talking here about reflecting on the meaning of a word, analysing it, theorizing it, rather than using it. When it comes to use, either a word will do for your purpose or it won’t — or it can be made to work the way you want or it can’t. Think first of cases of trying to use a word for some purpose rather than of scrutinizing the word; the point of a tool is to use it when it will get the job done, not to contemplate it. — Srap Tasmaner
But doesn’t the ‘words are homeless’ line of argument contradict the ‘homonym’ argument? — Srap Tasmaner
I think we do better to take in more rather than less of what’s going on, so that we can see the hammer being a part of — being ‘at home’ in — each ensemble of tools and practices where it is useful (cabinetmaking, house framing, tractor maintenance, surveying, etc.), but not part of others where it is not. I’d lean toward multiple homes, with both hammers and words. Someone used to using a hammer in only one way for one sort of job might be surprised to find other people think of it quite differently, and the same thing happens with words sometimes. (Someone might use a chisel as a doorstop for years without the slightest idea what it’s ‘really’ for.) — Srap Tasmaner
All right! The wave function describes waves. What sort of waves do they describe? — tim wood
So, when we think of meaning, think of how a word is used in the language-game that is its home. If for example, we’re talking about epistemology and how we justify a conclusion, then we’re using the word know in a way that’s determined by the logic of that language-game. The problem that arises, is when we take the use of a particular word in one language-game, and try to apply it in another language-game where the word is used in a completely different way, i.e., it has a different use, or it functions differently. This is not to say that a word can’t have the same use in a different language-game, but to say that it’s use maybe different; and thus, it may have a different sense. — Sam26
Wiki, wave function: "A wave function in quantum physics is a mathematical description...". I am going to assume you were being facetious. — tim wood
History
Main articles: Fourier analysis § History, and Fourier series § History
In 1822, Joseph Fourier showed that some functions could be written as an infinite sum of harmonics.[10]
Introduction
See also: Fourier analysis
One motivation for the Fourier transform comes from the study of Fourier series. In the study of Fourier series, complicated but periodic functions are written as the sum of simple waves mathematically represented by sines and cosines. The Fourier transform is an extension of the Fourier series that results when the period of the represented function is lengthened and allowed to approach infinity. — Wikipedia: Fourier Transform
Coming from you that convinces me otherwise. — 180 Proof
...even though you've taken a leap of whatever off of the raggedy edge of my post. — 180 Proof
actually this question and tim woods response makes me question whether the study of the evolution of the universe is actually 'history'. The web definition of history is 'the study of past events, particularly in human affairs e.g. "medieval European history". — Wayfarer
I'm not smart enough to dumb down my 'philosophical via negativa' any further especially for someone who won't bother to read it.
How often have I said to you that when you have eliminated the impossible, whatever remains, however improbable, must be the truth?
— The Sign of the Four, chap. 6
Last attempt (paraphrasing Arthur Conan Doyle):
'If we eliminate (negate) the ways the actual world necessarily could not have been or cannot be described, then what remains is every way the actual world – phase space – possibly could have been or can be described.' — 180 Proof
