Goldbach's conjecture was just an example. The point is that if there is any unknown truth (i.e., if we are not collectively omniscient), then there is also a related unknowable truth.
— Andrew M
I'm still not getting it from that angle — Janus
OK, though it's not clear to me what you are objecting to. — Andrew M
Minus seven last night, and the house just won't get warm. — Banno
"Big mind" strikes me as a joke. The reality you have when you don't have a reality. It's a replacement for God, and so subject to the same problems as Joshs reply.
My objection is not to the content but the structure of that argument. The "supernatural" element, even if "immanent", is introduced using a fraught transcendental argument*. It is the transcendental argument that is objectionable. — Banno
And yet the alternative is that you know all there is to know.
Are you willing to claim omniscience? — Banno
That's why I keep going back to the distinction based on truth, and maintaining that there are unknown truths. — Banno
Since according to idealism the world is a product of Big MInd, not your mind or mine, then on that position there may indeed be truths that are not known. Have you read Berkeley at all, or are you at least familiar with his philosophy via secondary sources? — Janus
The point is that in either model, materialist or idealist. there is no problem that there should be truths unknown to us; which tells against your apparent claim that there could be no such truths under the idealist model, no? Or were you objecting because there could not be truths unknown to the Big Mind? — Janus
What is the longterm result for a race which directly apprehends reality, versus a race that filters raw existence into reality as it appears? — Merkwurdichliebe
Goldbach's conjecture was just an example. The point is that if there is any unknown truth (i.e., if we are not collectively omniscient), then there is also a related unknowable truth. — Andrew M
But we can never know either to be true because that would be a contradiction. — Michael
is the truth of the proposition that there are unknowable propositions itself unknowable? — Janus
No. Both a) and b) are known to be unknowable propositions. — Michael
But I don't use ta cups, I use coffee cups. — Banno
Neither. There is an external reality, according to Pinter, but the way (or the sense) in which it exists is incomprehensible to us. — Wayfarer
(What I find interesting about Pinter's book is his proposal that the 'bare bones' of material or physically-measurable objects don't have any intrinsic identity, but that identity is imposed upon them in the form of gestalts, meaningful wholes, which are the basic primitives of animal and human cognition.) — Wayfarer
Because that's what the knowability principle says. If some proposition p is true then it is possible to know that proposition p is true, and in this case:
p. "the box is empty" is true and we don't know that it's true — Michael
It does according to the knowability principle: if a proposition is true then it is possible to know that the proposition is true.
1. "the box is empty" is true and we don't know that it's true
The above is a proposition which, if true, entails that it is possible to know that it's true. — Michael
Suppose there is some statement t that is true AND no-one knows that t is true (say, Goldbach's conjecture or its negation). That conjunctive statement is itself true but unknowable. — Andrew M
It needs to be singular to substitute in to (2), so as to get (3) right. — Banno
It isn't that we do know there are unknown truths, it is that it is possible to know there is an unknown truth. If it is possible to know, then it is knowable. These terms are simply synonymous. — Luke
the fact that there are unknown truths (if there are) is not itself an unknown truth (if it is known). — Janus
No, but why do you think it should be? — Luke
That's not an instantiation. — Banno
If one of all of the knowable truths (KP) is that we are non-omniscient or that there is an unknown truth (NonO) - in other words, if it is possible to know that there is an unknown truth - then it follows that an unknown truth is knowable.
However, it can be independently shown that an unknown truth is unknowable. — Luke
(1) There is a truth that is not known (instantiation from NonO)
(2) If there is a truth that is not known, then it might be known that there is a truth that is not known
....(sub (2) into KP)
(3) It might be known that there is a truth that is not known — Banno
But the conclusion of Fitch's argument can be "translated back" into plain english - and has been, multiple times, in both articles and in this thread. :roll: — Banno
Fitch's paradox shows that if all truths are knowable then all truths are known. Some truths aren't known, therefore some truths aren't knowable. — Michael
And yet we don't know which of "the Riemann hypothesis is correct" and "the Riemann hypothesis is not correct" is true, but one of them must be. Therefore not all truths are known. — Michael
Hence you know an unknown sentence. — Banno
The thought that the relation between mind and the world is something fundamental makes many people in this day and age nervous. I believe this is one manifestation of a fear of religion which has large and often pernicious consequences for modern intellectual life. — Thomas Nagel
Suppose p is a sentence that is an unknown truth; that is, the sentence p is true, but it is not known that p is true. In such a case, the sentence "the sentence p is an unknown truth" is true; and, if all truths are knowable, it should be possible to know that "p is an unknown truth". — Fitch's paradox of knowability
Wittgenstein is talking about meaning and reference.
For example, an argument against private language. — Jackson
Perhaps "many scholars" is an exaggeration but off the top of my head I can think of Charles Taylor, Hubert Dreyfus and Lee Braver. There are others who have sought to bridge the analytic/ continental divide. You should find something here:Who are those scholars? I never heard of that. — Jackson
The equation of philosophy with phenomenology here would be an error. It is clear from the context that he is talking about rules, meaning and logic, and not just about perceptions. — Banno
A bit paradoxical, but I think Wittgenstein is on to something. I don't think this means we understand things simply by looking at them. I think he is alluding to what was called ordinary language philosophy. — Jackson
