fishfry

We're just arguing about a word. If you want to claim that "I prefer chocolate to vanilla" is an example of logical reasoning, what is the point of my...

If I understood the OP, the walker spends arbitrarily small amounts of time on each step, 1/2 second, 1/4 second, etc. That violates the known laws of...

Yes exactly. \omega comes into existence via a limiting process. The idea is that the natural numbers are generated by successors, and the higher ordi...

In the DEI departments of university administrations I imagine. Point being that pipefitters shouldn't be shouldering the cost of the loans forgiven f...

But I'm not doing that. I haven't been doing that. Are you deliberately misunderstanding me or am I being unclear? "Using mathematics to try to prove ...

But then why did they saddle the GOPs with a five to ten point deficit in every election at every level everywhere in the country for years, by overtu...

Thanks. Of course it's a countable set. It's a subset of the rationals, after all. You are right that it's not order-isomorphic to 1, 2, 3, ... Right....

What ruling body decides on that? Steer the compulsion away if it "worsens the wellbeing?" Are their commissars for that? Your idea sounds like top-do...

I don't really care much about supertasks and haven't argued that they're coherent or incoherent. I'm mostly trying to clarify some of the bad reasoni...

That's right. So the students majoring in unmarketable majors are subsidized by people who skipped school and went into the trades. That doesn't seem ...

He'll come around :-) This paragraph gratified me. If you are struggling to understand my posts then I'm getting through to at least one person. My ta...

Call it anything you like, but not logic! Logic means something else. That term is already taken. You are using extra-logic. Morality, right or wrong,...

No. My thinking about limits is extremely precise and perhaps a bit more general than what you're accustomed to. I have never said that a series (or s...

The natural numbers do not end, yet they have a successor in the ordinal numbers, namely \omega. This is an established mathematical fact. I regard th...

I think a lot of people feel that way.

I thought it was on point. People in the US like "forgiving student debt." But every nickel is just passed on to the taxpayers. Government doesn't hav...

It's a beautiful living experiment in what's known as restorative justice. Crime is rampant and the DA is busy prosecuting the victims. People don't f...

Mathematicians would just refer to it as an "upper bound." But you talk about a "real physical boundary." Here you imagine that the staircase is physi...

Maybe. Dobbs certainly. But that's been a disaster for the GOP. It cost them the 2022 red wave and many local and special elections. It put abortion b...

LOL. I'm just trying to take the subtle approach.

I can agree with your reasoning that one "ought" not to accept it, but the reason is extra-logical. That is, if we are going by pure logic, you have n...

Indeed it is. I quite share your sensibilities, or at the very least I have great sympathy for them. But the larger point is that you have heard about...

This entire idea was completely lost on me. Digital rain is more fundamental than the Matrix. That's very poetic. You know, it might be better if you ...

Oh I had no idea we were still talking about the OP. This thread's gone way beyond that. I thought you were making a more general point, that the limi...

I just noticed this. What means would you use to bring this about?

Just for light conversation ... when I say that a lot of people these days are advocating for equality of outcome rather than equality of opportunity ...

I only mentioned it because this is a bit of Trumpy thread. A lot of people think the court's on Trump's side and not being judicially impartial. And ...

You can think of it that way. Or you can think of it "reaching" its limit at a symbolic point at infinity. Just as we augment the real numbers with pl...

Wow that's deep. Deep and wrong at the same time. That's interesting. If I am understanding you: You say that if we have a sequence; that if that sequ...

Yes, I agree with you that math and physics use different definitions. I apologize for getting crabby last night. As I went to bed I was thinking, Why...

Well physics is of course exempt from math and logic. The world does whatever it's doing. We humans came out of caves and invented math and logic. The...

Thanks.

I'll quit when I'm ahead here then :-) Many issues with long wait times at NIH in Great Britain. And in Canada, they offer assisted suicide for depres...

You are not arguing, you're repeating your lack of argument. I'll let you have the last word, you are incapable of rational discussion.

A discussion can't continue when you keep making unsubstantiated, evidence-free claims. I would invite you to read up on eternal inflation, a speculat...

It's physically impossible. I have no idea why you keep claiming it's "metaphysically" impossible or logically incoherent. What's logically incoherent...

I asked you to consider a hypothetical world and you pretended I was talking about mathematical sets. Yes, the observable universe is finite. We're ag...

I gave you a mathematical model that puts your unsupported claims into context. Thompson's lamp shows nothing of the sort. I've explained that to you ...

Metaphysically impossible? Repeating a claim ad infinitum is neither evidence nor proof. I'm not the one advocating for supertasks, yet you keep argui...

There are indeed infinitely many infinities, but not by the argument you gave. Yes. There are many online resources. https://en.wikipedia.org/wiki/Geo...

Zeno again? Say (in some hypothetical world, say current math or future physics) that we have a "sequence of actions" as you say, occurring at times 1...

Sorry what? We're doing Zeno now? I must pass on that. I do not know what you are talking about now. Lost me again. In a metric space the distance bet...

A metric space is typically just called a metric space. There aren't "nontopological" metric spaces. Any metric space can be made into a topological s...

@"Michael" keeps making the same claim, and I do not understand the argument. I agree that it's impossible to do infinitely many physical things in fi...

Shouldn't this thread go into the Trump thread, which was specifically created so that people could vent their Trump spleen in one place?

Ok. Clearly this is a matter of semantics. Mathematically, if I have a set of events \{e_1, e_2, e_3, \dots \}, there's no problem whatsoever. You see...

I just don't see where you're going with all this. You're pointing out that some topological spaces aren't metrizable. Right? Oh but there is one. For...

Ok. Now that's something I disagree with. But I don't care about supertasks much so it's better if I don't engage. This is an open question. Of course...

You're continuing to argue against a position I don't hold. Why are you doing this? There's no interesting conversation to be had. Supertasks are not ...

Not by much.