Planck Length, Planck Scale, speed of light (which is basically a scale constant) are not in any sense arbitrary. Unless Im mistaken, the SI system is based on non-arbitrary physical constants not this nonsensical notion of "qualities" or whatever. And even if it isn't, such a thing is possible but the gain is little for all the work required. See Natural units. — MindForged
That something could be done a different way does not make something arbitrary. There are perfectly sensible reasons to put the number of degrees at 360. It's a highly composite number allowing us to avoid fractions (which are hard for humans to do, hence the preference for decimal expressions), it's not a large whole number so it's fairly easy to do basic math with (particularly division), etc. I'm thinking you're using a weird definition of "arbitrary" or not explaining why it is (supposedly) so. — MindForged
Not a substratum. Material is all there is--well, material, relations of material and motion of material. We're not positing things we don't observe. — Terrapin Station
There is no textual evidence to support arbitrarily cleaving the phrase in two. Speaking of 'stretchs of creative interpretation'. Nothing in the rest of the post refers to the PI either, so is entirely neglectable. — StreetlightX
Games are going to keep on cropping up here, so I think it's worth mentioning some games without rules: sandcastles, cowboys and indians, trains, bricks, dollies, ... not that we cannot make some rules for any of them if we want to play making rules, indeed making the rules is often a large part of playing dollies, but there is no essential need, such that if it is not rule bound it is not a game. — unenlightened
7. In the practice of the use of language (2) one party calls out the
words, the other acts on them. In instruction in the language the
following process will occur: the learner names the objects; that is,
he utters the word when the teacher points to the stone.—And there
will be this still simpler exercise: the pupil repeats the words after the
teacher——both of these being processes resembling language.
We can also think of the whole process of using words in (2) as
one of those games by means of which children learn their native
language. I will call these games "language-games" and will sometimes
speak of a primitive language as a language-game.
And the processes of naming the stones and of repeating words after
someone might also be called language-games. Think of much of the
use of words in games like ring-a-ring-a-roses.
I shall also call the whole, consisting of language and the actions into
which it is woven, the "language-game".
Come on, now. You can't be so unintelligent that you believe that not agreeing with something amounts to not understanding it, can you? — Terrapin Station
However, one thing that might be missed - because people have been anticipating alot - is that §31 is actually the first time in the PI that Wittgenstein actually begins to discuss 'rules' explicitly at all. So far, rules were mentioned only back in §3, where, interestingly, Witty actually objects to characterizing games in terms of rules, and says that such a characterization is a 'restricted' one that doesn't capture the generality of games. To recall:
§3: "It is as if someone were to say, “Playing a game consists in moving objects about on a surface according to certain rules . . .” - and we replied: You seem to be thinking of board games, but they are not all the games there are. You can rectify your explanation by expressly restricting it to those games." — StreetlightX
That ought to put us on alert to the fact that rules are not - so far at least - crucial elements in Wittgenstein's conception of games, and hence, language. This is something that will be developed here in §31 even more. §31 beings by characterizing a situation in which in order to understand a specific ostensive act ("This is the king”), one must know the rules before hand. What is being illustrated here is again, the need for prior knowledge before ostensive explanation can 'work': — StreetlightX
As with §3, Witty is here circumscribing (limiting) the role or importance of rules as necessary elements in the understanding of ostensive explanations. While acknowledging their necessity in some circumstances, the appeal to rules does not exhaust all of them. The rest of §31, which doesn't discuss rules at all, simply goes over some of the same ground as before: the need to have a certain kind of knowledge before ostensive explanations can work. — StreetlightX
Yes, and what do you measure my friend? Quantity. Hence there is quantity yet, and you measure it. That fact that the methods and units of measurement may be relative(as you correctly say) does not make this less true, i.e. quantity is presupposed REALITER as what is to be measured. — Ikolos
Independently existing matter, independently from particular modes of perceiving it, and that actually causes any perception to happen. — Ikolos
No one divide space by degree man, that is nonsensical. — Ikolos
Rule-following is an activity, and it's one of the activities that takes place in a game. It doesn't necessarily mean that you have learned rules or that rules have been stipulated in some way prior to the learning of the game. The same is true when you teach a child what the word cup means, the child doesn't need to know anything about a rule in order to learn how to use the word. The child observes, and probably already has some background of what it means to associate a word with an object. This is similar to the person in Wittgenstein's example (PI 31), where there is no learning of the rules explicitly or implicitly. Note though that the person has a background with learning other games, and as a result it makes it easier for them to figure out how the game is played. — Sam26
One can also imagine someone's having learnt the game without
ever learning or formulating rules. He might have learnt quite simple
board-games first, by watching, and have progressed to more and
more complicated ones. He too might be given the explanation "This
is the king",—if, for instance, he were being shewn chessmen of a shape
he was not used to. This explanation again only tells him the use
of the piece because, as we might say, the place for it was already
prepared. Or even: we shall only say that it tells him the use, if
the place is already prepared. And in this case it is so, not because the
person to whom we give the explanation already knows rules, but
because in another sense he is already master of a game.
Frankly, a definition so senseless as all the medieval definitions were. You are deeply confused. — Ikolos
Now, if something is to be selected as a discrete unity, as you say, it presupposes a quantity on which this selection is operated. Or do you think we actually create quantity by itself, against the basic postulate of physics? — Ikolos
Hence as the scale of degrees(quality) relies on a spatial property, than the degrees do rely on that to. — Ikolos
But neither Space nor matter presupposes any detectable quality by themselves. Quality, furthermore, presupposes a RELATION between space and something, which renders possible to detect some spatial properties or, as you seem to prefer, to select from that properties units, in respect to which establish a scale of measuring. This something is matter. Matter does not imply quality(degrees) but the distinguishability of degrees implies matter. But matter presupposes space. Then quality presupposes space. Either you identify space with the properties we can distinguish and classify under the kind 'spatial' and name IT quantity, or you do not identify space with those properties and call those properties 'QUANTITY' it is the same for our question: quantity it is presupposed by quality. — Ikolos
This is false. Sets are based on RELATIONS(between something, i.e. a set, and its elements. The empty sets have a relation such that no elements belongs to it). — Ikolos
Numbers are sets, in the usual axiomatizations, so cardinality very naturally fits our idea of quantity. — SophistiCat
You haven't really identified 3 distinct things. You've only identified one thing, the number 3, and the fact that "2+1" is identical to it, or just another way of describing it. — Mentalusion
It's similar to Frege's evening star/morning star example, albeit analytical and not empirical in nature. If you don't see how that's an identity statement having learned arithmetic, I'm not sure I can explain it any more clearly. — Mentalusion
It's also implicit in logic that there are people around who can think, but no one believes that particular implication has any place in the formulation a formal logical system. — Mentalusion
That all said, there is a paradox here, because when we get to discussion metaphysic, ontology, etc. the assumption I think most people make is that our reasoning should be logical. In that case, whatever we say on a metaphysical level is going to be constrained by what we think logic requires. However, when we work out what logic requires, we do so with a naïve, inexplicit understanding about the nature of time. So there is a circularity which is what you might be worried about, but I guess most people would just say it's not vicious and be content to live with some degree of fundamental paradoxality, especially given the proven practical benefits and results logic produces being just what it is now. — Mentalusion
This can all be stated even in a world where time is gunky. — Mr Bee
I'm not convinced that's the case. Perhaps some of the issue is that the formalized LNC, -(p & -p), doesn't have anything explicit to say about properties, only propositions, and so is more akin to the math expression. — Mentalusion
In the case of the math expression, "2+1=3", I really don't seen any temporality at all. You could read it the way I was proposing, but I think a more natural reading just sees the expression as an identity that holds absolutely and with regard to temporal sequence. I don't see how a things identity with itself necessarily implicates time. — Mentalusion
If you claim is more of a metaphysical one - that time is inescapably implicit in any claim about anything whatsoever - such that we just can't think anything unless we assume time is present, I guess it's true but probably tautological. It would be like a Kantian category: a condition of thought itself. I wouldn't take that to be a proper subject for propositional logic, though. — Mentalusion
So if you don't need a conception of time in order to do the calculations (except, of course, practically speaking in the sense that it takes time to mentally calculate), whether mathematical or logical, why introduce it? — Mentalusion
We certainly don’t arrive at the term “number” before we have the terms “one,” “two,” “three,” etc.,. — I like sushi
3. Augustine, we might say, does describe a system of communication;
only not everything that we call language is this system. And one
has to say this in many cases where the question arises "Is this an
appropriate description or not?" The answer is: "Yes, it is appropriate,
but only for this narrowly circumscribed region, not for the whole of
what you were claiming to describe."
It is as if someone were to say: "A game consists in moving objects
about on a surface according to certain rules . . ."—and we replied:
You seem to be thinking of board games, but there are others. You
can make your definition correct by expressly restricting it to those
games.
Attention to this aspect of the work will clear up alot of what is going on in §31, which MU is struggling with. — StreetlightX
It is in this and more or less similar ways that a name means and is
given to a thing.—It will often prove useful in philosophy to say to
ourselves: naming something is like attaching a label to a thing.
It is going too fast. Plus a silly tit-for-tat which I wasted time reading didn’t help. — I like sushi
At the moment comments on 1-30 are welcome ... no doubt people will ignore this and plough ahead with pet theories. Maybe they’ll take the hint? Maybe more than two people will respond? Maybe people have been put off? — I like sushi
31. When one shews someone the king in chess and says: "This is
the king", this does not tell him the use of this piece—unless he already
knows the rules of the game up to this last point: the shape of the king.
You could imagine his having learnt the rules of the game without ever
having been shewn an actual piece. The shape of the chessman corresponds
here to the sound or shape of a word.
One can also imagine someone's having learnt the game without
ever learning or formulating rules. He might have learnt quite simple
board-games first, by watching, and have progressed to more and
more complicated ones. He too might be given the explanation "This
is the king",—if, for instance, he were being shewn chessmen of a shape
he was not used to. This explanation again only tells him the use
of the piece because, as we might say, the place for it was already
prepared. Or even: we shall only say that it tells him the use, if
the place is already prepared. And in this case it is so, not because the
person to whom we give the explanation already knows rules, but
because in another sense he is already master of a game.
Consider this further case: I am explaining chess to someone; and I
begin by pointing to a chessman and saying: "This is the king; it
can move like this, . . . . and so on."—In this case we shall say: the
words "This is the king" (or "This is called the 'king' ") are a definition
only if the learner already 'knows what a piece in a game is'. That is,
if he has already played other games, or has watched other people
playing 'and understood'—and similar things. Further, only under these
conditions will he be able to ask relevantly in the course of learning the
game: "What do you call this?"—that is, this piece in a game.
We may say: only someone who already knows how to do something
with it can significantly ask a name.
And we can imagine the person who is asked replying: "Settle the
name yourself"—and now the one who asked would have to manage
everything for himself.
Far from being useless, I'm advising you and those here about to listen to Sam; certainly he will be a better guide than MU. — Banno
If you listen to MU you'll all be screwed in the head. — Sam26
Anyway, those are my thoughts for what they're worth. — Sam26
But there's something funny in all that, at least to my ear. It almost seems like we need to already know the truth of our premises in order for the logic to be worked out. But if that's the case then how does logic retain its usefulness in the cases where we do not know the truth value of some conclusion? We may have good reason to believe the premises, but couldn't a novel argument actually be a case where we are proving that the form of our argument is, in fact, fallacious because it leads to a false conclusion?
In which case, what is the point of soundness anyways? — Moliere
Again, only in the trollish way that consciousness is "linguistic." — Terrapin Station
No, it's irrelevant to the question of whether you can learn language ostensively that the student is doing non-linguistic things mentally, because "learning language ostensively" doesn't imply that the student is NOT doing non-linguistic things mentally. — Terrapin Station
We're not saying something so stupid as, say, "One has to be conscious to use language. Therefore consciousness is part of language, and one doesn't learn how to be conscious ostensively. Thus, language can't be learned ostensively," are we? Because as I noted, that would be really, really stupid. — Terrapin Station
No, but the question remains 'is it possible to have a truly original thought?'
IE one not inspired by any other earlier thought/observation. — Devans99
It's irrelevant to learning language. — Terrapin Station
Re the counting analogy, it's the same as saying that the student can learn to count to ten without already knowing how to count to ten. — Terrapin Station
If you wanted to ask, "Is it possible to learn how to count to ten without knowing how to count to five first," you'd need to actually ask that. — Terrapin Station
If you want to argue that it's not possible to ostensively learn language, you'd have to say what one can't learn ostensively that is language. — Terrapin Station
Your comments in the following section are an incoherent mess, but I'm trying to avoid some other big tangent: — Terrapin Station
How exactly do our minds differ from computers? — Devans99
No, but the question remains 'is it possible to have a truly original thought?'
IE one not inspired by any other earlier thought/observation. — Devans99
W then goes on to mention something of symbolism and categories (yet I don’t think he explicitly says “categories”?) when talking of colour, shape and number (23 - ref. to language/words as “tools”, 28, 29 to 35 - talk about numbers, colours and shapes). — I like sushi
Keep in mind what is implied in the analogy at #2 #3, that a game is a type of activity which consists of sub-classifications, different types of games such as board games, etc.. Language is a type of activity which is sub-classed into activities such as those mentioned at #23. The act of "questioning" therefore is to proceed with a type of activity which is a sub-class of the overall classification of a type of activity called "language". Thus it is a particular type of language-game within the category of "language-game", like a board game is a particular type of game within the category of "game".24. If you do not keep the multiplicity of language-games in view
you will perhaps be inclined to ask questions like: "What is a question?"
I don't agree that having some of "what Wittgenstein means by 'language'" is necessary prior to learning language via ostension.
I suppose we could load "what Wittgenstein means by 'language'" in a way that it might matter, although the contortions needed for that might make it so that we might as well say "what Wittgenstein means by 'language being a necessary prerequisite'" in a manner that, if carried through wholesale for everyone, for everything they say, would disable ever taking issue with anyone about anything.
"Oh, well what Charles Manson meant by 'curing society' . . ." and so on. — Terrapin Station
The answer is yes, I disagree that it's impossible to learn language solely through ostension.
That the student knows or does something that's not itself language, prior to learning language via ostension, is irrelevant to the question. The question isn't whether it's impossible to learn or do any arbitrary thing that one might know/do only via learning language through ostension. — Terrapin Station
I didn't agree that they have to know anything about any language. — Terrapin Station
Teaching/learning refers to the activities of both the teacher and the student. To say that the activities of the student are something additional to learning/being taught is to not undertand the terms teaching/learning. — Terrapin Station
