The problem, as Wittgenstein sees it, is that mathematicians, especially foundationalists (e.g., set theorists), have sought to accommodate physical continuity by a theory that ‘describes’ the mathematical continuum (PR §171). When, for example, we think of continuous motion and the (mere) density of the rationals, we reason that if an object moves continuously from A to B, and it travels only the distances marked by “rational points”, then it must skip some distances (intervals, or points) not marked by rational numbers. But if an object in continuous motion travels distances that cannot be commensurately measured by rationals alone, there must be ‘gaps’ between the rationals (PG 460), and so we must fill them, first, with recursive irrationals, and then, because “the set of all recursive irrationals” still leaves gaps, with “lawless irrationals”. — SEP
What arithmetic is concerned with is the schema ||||.—But does arithmetic talk about the lines I draw with pencil on paper?—Arithmetic doesn’t talk about the lines, it operates with them. — W
Yeah, as I said. Heavy stuff to talk about. I don't have much to comment otherwise. — Posty McPostface
Ah, known knowns, known unknowns, and unknown unknowns. Interesting stuff. — Posty McPostface
Philosophy almost exclusively deals with known unknowns and unknown unknowns. I think go about this issue epistemologically is the only way forward. Once known unknowns and unknown unknowns become known then the issue is settled through dialogue or in a dialectical manner, and hopefully Rogerian agreement. Am I sounding pragmatic? — Posty McPostface
Before we can plug a thesis into the argument machine, it has to born in someone's mind. And then the argument machine can't just be a dead machine operating on syntax. So how does what we argue about exists for us? — macrosoft
So, your talking about understanding, having a mind, and intention here? Have you heard of the Chinese Room Argument? — Posty McPostface
On Certainty is fantastic. Every time I came back to it, I'm blown away. The sensitivity with which Witty approaches language is just unmatched in it. — StreetlightX
I have been told that the concept of having a "mind" in philosophy, generates more problems than it solves. What's your take on the Chinese Room Argument? — Posty McPostface
What's wrong with this pursuit? There's no other way to address the issue, then treating it explicitly. — Posty McPostface
What's wrong with this pursuit? There's no other way to address the issue, then treating it explicitly. — Posty McPostface
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