That, and playing language games.Forum members who've spent any amount of time in dialogue with Banno know he's all about force and politics. (For all his emphasis on a foundational charity.) — ZzzoneiroCosm
More language games.In other words, how is it that finite signs, as expressed by finite beings, have a sense of infinity. — Sam26
How can you even say that one follows from the other - that one gets a sense of infinity from finite signs expressed by finite beings? — Harry Hindu
In other words, how is it that finite signs, as expressed by finite beings, have a sense of infinity. This has more to do with Wittgenstein's later philosophy, i.e., what it means to master a technique or practice — Sam26
Did he have anything to say about the Halting Problem? I have a sudden, strong hunch that it's related to this. Maybe I'm just seeing things, but grasping that a Turing machine goes on forever without doing any calculations seems to be a case of grasping a rule in Wittgenstein's sense. — Pneumenon
If using numbers and words doesn't entail using finite objects to refer to other finite objects, then Banno isn't talking about or counting a number of anything. He would just be making ink marks on paper or making sounds with his mouth when "counting". — Harry Hindu
This has more to do with Wittgenstein's later philosophy, i.e., what it means to master a technique or practice. — Sam26
andThough commentators and critics do not agree as to whether the later Wittgenstein is still a finitist and whether, if he is, his finitism is as radical as his intermediate rejection of unbounded mathematical quantification (Maddy 1986: 300–301, 310), the overwhelming evidence indicates that the later Wittgenstein still rejects the actual infinite (RFM V, §21; Zettel §274, 1947) and infinite mathematical extensions.
The first, and perhaps most definitive, indication that the later Wittgenstein maintains his finitism is his continued and consistent insistence that irrational numbers are rules for constructing finite expansions, not infinite mathematical extensions.
on the occasions in which I have engaged with him, not much happened. — Banno
If using numbers and words doesn't entail using finite objects to refer to other finite objects, then Banno isn't talking about or counting a number of anything. He would just be making ink marks on paper or making sounds with his mouth when "counting". — Harry Hindu
In other words, how is it that finite signs, as expressed by finite beings, have a sense of infinity.
— Sam26
More language games.
How can you even say that one follows from the other - that one gets a sense of infinity from finite signs expressed by finite beings? — Harry Hindu
Did he have anything to say about the Halting Problem? — Pneumenon
I believe I've heard Banno say language is non-referential. Words don't refer to anything. So why would "1" be the exception? — ZzzoneiroCosm
Banno thinks that "Banno" can be used to talk about Banno. — Banno
.Banno say language is non-referential. — ZzzoneiroCosm
Language can be about stuff. It's just that it can do other things as well. — Banno
Does a word refer? — ZzzoneiroCosm
So he certainly would not have gone along with the finitism of Metaphysician Undercover who rejects instantaneous velocity. — Banno
SO a Turing Machine could be set up to calculate 1+1, and would halt - hence 1+1 has an extension; but if set up to find root 2, it would not, and hence root 2 has no extension... or something like that. — Banno
If the rule allows to construct a finite extension, then we can get extensions from it, too. — Pneumenon
Why does Wittgenstein like this spook more than the Platonic spook? — Pneumenon
There is a means of grasping a rule that is not an interpretation, but is exhibited in following and going against the rule in actual cases, says (paraphrased) Witty. — Pneumenon
There is no velocity at an instant. — Metaphysician Undercover
There is no velocity at an instant. — Metaphysician Undercover
If the rule allows to construct a finite extension, then we can get extensions from it, too.
— Pneumenon
This is the bit that I've been unable to find clearly articulated. — Banno
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