No, its the deflationary view of truth — Seppo
this is to miss the point in any case: the point is that not only are these claims/beliefs truth-apt, they are true, for all but the rarest cases (the handful of people who actually have been to the moon, and the people who don't have two hands, for whatever reason). — Seppo
Could a mathematical proposition that is true be false? No. Could a mathematical proposition be false? Yes. — Fooloso4
The argument is invalid, its conclusion doesn't follow (as has already been pointed out to you) and the "force" of an invalid argument can't really "end the discussion", obviously. If you want to end the discussion, you could venture a reply to my post here. — Seppo
If Wittgenstein did indeed understand 'true' to mean something such that ""I've never been to the moon" is true iff I've never been to the moon", then you're right, but I've never read anything to that effect so I'd be grateful for a pointer in the right direction. — Isaac
is 12x12=144 susceptible of being false? If so, then it is not a hinge. — Luke
Are you claiming that a hinge is not susceptible to being false? Or are you making a claim about mathematical hinges? — Fooloso4
Is the concept (I am trying to avoid the term proposition and the confusion it may cause, independent of OC) of the earth revolving around the sun a hinge? Is it susceptible of being false? At one time the sun revolving around the earth was a hinge. — Fooloso4
Yep, hinges can become propositions and propositions can become hinges — Luke
I think that today it is incontrovertible that the earth revolves around the sun, so it would be a hinge ... — Luke
Philosophers use a language that is already deformed as though by shoes that are too tight.
I think the distinction he makes is not between hinges and propositions, but between propositions that function as hinges and propositions that do not. That is not to say that all hinges are propositions, but to say that the statement "the earth revolves around the sun" is not a proposition because it is a hinge is to make restrictive demands on its usage. — Fooloso4
But this is more or less a correspondence view of truth, if the aim is to understand what Wittgenstein was getting at in OC, what do you think using such a non-Wittgensteinean definition of truth brings to that project? — Isaac
A proposition standing alone, i.e., without justification, can have a value of either being true or false, it's a simple claim or belief. — Sam26
(1) If knowledge claims are necessarily about the process of arriving at truth, then Moorean propositions are necessarily about truth claims.
(2) If Moorean propositions are about truth claims, then necessarily W.'s attack is an attack on the truth of Moorean propositions. — Sam26
204. Giving grounds, however, justifying the evidence, comes to an end; - but the end is not certain propositions' striking us immediately as true, i.e. it is not a kind of seeing on our part; it is our acting, which lies at the bottom of the language-game.
205. If the true is what is grounded, then the ground is not true, not yet false.
206. If someone asked us "but is that true?" we might say "yes" to him; and if he demanded grounds we might say "I can't give you any grounds, but if you learn more you too will think the same."
If this didn't come about, that would mean that he couldn't for example learn history.
Do you really wish to claim that when Moore held up his hand and said "Here is a hand", that what he said was neither true nor false? That strikes me as absurd.(2) If Moorean propositions are about truth claims, then necessarily W.'s attack is an attack on the truth of Moorean propositions. — Sam26
It was never, something is true, iff such and such (unless you're thinking in terms of the Tratatus), at least as a general rule. This would be anathema to W.'s later philosophy. — Sam26
I think the distinction he makes is not between hinges and propositions, but between propositions that function as hinges and propositions that do not. That is not to say that all hinges are propositions, but to say that the statement "the earth revolves around the sun" is not a proposition because it is a hinge is to make restrictive demands on its usage. — Fooloso4
Where did you conflate truth and belief? Right there. A proposition standing alone can have a value of true or false; but it is not a claim or a belief until it enters into relation with the person claiming our believing. — Banno
Do you really wish to claim that when Moore held up his hand and said "Here is a hand", that what he said was neither true nor false? That strikes me as absurd. — Banno
Then:A mere belief without justification can be either true or false. It's not true, until there is some kind of justification involved. — Sam26
I don't give two shits about anti-realists. — Sam26
Because that is what Moore is claiming, that he knows his statements are true. And, that is what W. is arguing against. — Sam26
Wittgenstein is arguing that Moore uses the word "Know" in "I know I have a hand" incorrectly; that what he might instead have said is "I am certain act I have a hand".
"I know I have a hand" is incorrect because knowledge requires justification.
"I am certain act I have a hand" is correct because it is not a statement, the truth of which he could doubt.
— Banno
So your argument, if I understand it, concludes that 12 x 12 =144 is not true.
Hence why not reject your argument by reductio? — Banno
Do you agree with
Wittgenstein is arguing that Moore uses the word "Know" in "I know I have a hand" incorrectly; that what he might instead have said is "I am certain act I have a hand". — Banno
"I know I have a hand" is incorrect because knowledge requires justification. — Banno
Wittgenstein also takes care to treat truth as belonging to propositions, but certainty and belief and knowledge as relations between people and propositions. — Banno
A judge might even say "That is the truth - so far as a human being can know it." But what would this rider [Zusatz] achieve? ("beyond all reasonable doubt"). — 607
The truth of certain empirical propositions belongs to our frame of reference.
It is the truth only inasmuch as it is an unmoving foundation of his language-games
"But is there then no objective truth? Isn't it true, or false, that someone has been on the moon?" If we are thinking within our system, then it is certain that no one has ever been on the moon. — 108
Really "The proposition is either true or false" only means that it must be possible to decide for or against it. But this does not say what the ground for such a decision is like. — 200
He's arguing against Moore's use of the word know, as an epistemological use, and all that entails.For me, that entails justification and truth. — Sam26
according to Wittgenstein, the mathematical equation is nonpropositional
— Luke
Where does he say this? — Banno
For Wittgenstein, to be a proposition is to be bipolar; that is, to be susceptible of truth and falsity. From the first, Wittgenstein’s technical concept of the proposition is internally related to bipolarity: ‘In order for a proposition [Satz] to be capable of being true it must also be capable of being false’ (NB 55); ‘Any proposition [Satz] can be negated’ (NB 21); ‘A proposition [Satz] must restrict reality to two alternatives’ (4.023) [...] In the thirties, Wittgenstein still upholds bipolarity: ‘In logic we talk of a proposition as that which is true or false, or as that which can be negated’ (AWL 101); ‘ “A proposition [Satz] is whatever can be true or false” means the same as “a proposition [Satz] is whatever can be denied” ’ (PG 123); ‘it is a part of the nature of what we call propositions [Satz] that they must be capable of being negated’ (PG 376). The ruling out of the possibility of falsity amounts to the ruling out of propositionality: ‘There is no such proposition as “Red is darker than pink”, because there is no proposition that negates it’ (AWL 208; my emphasis). In other words, so-called analytic and synthetic a priori propositions are not propositions.
The claim that propositions are essentially bipolar cannot be consistent with accommodating rules, tautologies or anything else which is necessarily true within the propositional fold.
[...]
G.E. Moore reports Wittgenstein as asserting both that a proposition ‘has a rainbow of meanings’ (MWL 107) and, of the ‘kind of “proposition” ’ that has traditionally been called ‘ “necessary”, as opposed to “contingent” ’, such as ‘mathematical propositions’,
...he sometimes said that they are not propositions at all...They are propositions of which the negation would be said to be, not merely false, but ‘impossible’, ‘unimaginable’, ‘unthinkable’ (expressions which [Wittgenstein] himself often used in speaking of them). They include not only the propositions of pure Mathematics, but also those of Deductive Logic, certain propositions which would usually be said to be propositions about colours, and an immense number of others. (MWL 60)
However Moore may have taken Wittgenstein’s ‘puzzling assertion that 3 + 3 = 6 (and all rules of deduction, similarly) is neither true nor false’ (MWL 80), there is no ambiguity about Wittgenstein’s ‘declaration’ and ‘insistence’ that mathematical ‘propositions’ are ‘rules’, indeed ‘rules of grammar’ (MWL 79) and that these ‘rules’ are ‘neither true nor false’ (MWL 62, 73). And this cannot be dismissed as ‘early Wittgenstein’. He is still making the same claim in the Remarks on the Foundations of Mathematics:
There must be something wrong in our idea of the truth and falsity of our arithmetical propositions [Sätze]. (RFM, p. 90)
It is important to underline that Wittgenstein does not only attribute nonpropositionality to mathematical ‘propositions’ but, as he makes clear in the AWL passage above, and it is worth repeating, to any ‘proposition’ of which the negation would be said to be, not merely false, but ‘impossible’, ‘unimaginable’, ‘unthinkable’ and these
...include not only the propositions of pure Mathematics, but also those of Deductive Logic, certain propositions which would usually be said to be propositions about colours, and an immense number of others. (MWL 60) — Understanding Wittgenstein's On Certainty, pp. 35-38
By the same logic, if it is a proposition then it must be justifiable, dubitable and capable of being known, because that is just what a proposition is. Yet hinge propositions are none of these things. — Luke
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