If your argument is that “finite and bounded humans cannot coherently think about infinities”, then most of the math is a counterexample. We can “predict” what an infinitely long convergent series will converge to, for example. Or that the position/momentum uncertainty relation implies infinite-dimensional Hilbert space. A lot of reasoning about infinities do not require infinite computation. If you are saying that “infinite ethics” is not in this class, you have to motivate your argument rather precisely.
I don’t accept “math” as a proper counterexample. Humans doing math aren’t always correct, how do you reason about when math is correct?
My argument is less about “finite humans cannot think about infinities perfectly accurately” and more, “your belief that humans can think about infinities at all is predicated upon the assumption (which can only be taken on faith) that the symbol you manipulate relates to reality and its infinities at all.”
“your belief that humans can think about infinities at all is predicated upon the assumption (which can only be taken on faith) that the symbol you manipulate relates to reality and its infinities at all.”
Seems like one of those fully general counter arguments about the limits of knowledge. “your belief that humans can think about [X] at all is predicated upon the assumption (which can only be taken on faith) that the symbol you manipulate relates to reality and its [X] at all.”
It is almost a fully general counter argument. It argues against all knowledge, but to different degrees. You can at least compare the references of symbols to finite calculations that you have already done within your own head, and then use Occam’s Razor.
If your argument is that “finite and bounded humans cannot coherently think about infinities”, then most of the math is a counterexample. We can “predict” what an infinitely long convergent series will converge to, for example. Or that the position/momentum uncertainty relation implies infinite-dimensional Hilbert space. A lot of reasoning about infinities do not require infinite computation. If you are saying that “infinite ethics” is not in this class, you have to motivate your argument rather precisely.
I don’t accept “math” as a proper counterexample. Humans doing math aren’t always correct, how do you reason about when math is correct?
My argument is less about “finite humans cannot think about infinities perfectly accurately” and more, “your belief that humans can think about infinities at all is predicated upon the assumption (which can only be taken on faith) that the symbol you manipulate relates to reality and its infinities at all.”
Not sure what you mean by this...
Seems like one of those fully general counter arguments about the limits of knowledge. “your belief that humans can think about [X] at all is predicated upon the assumption (which can only be taken on faith) that the symbol you manipulate relates to reality and its [X] at all.”
It is almost a fully general counter argument. It argues against all knowledge, but to different degrees. You can at least compare the references of symbols to finite calculations that you have already done within your own head, and then use Occam’s Razor.