fishfry

@"Baden" I'm a little confused. You deleted my quote of someone else's post, but you let their own post stand? They're the exact same words. 'Splain m...

I'm a little bit at a loss as to how to respond. I find myself defending a hill that I'm definitely not willing to die on. If it made a difference to ...

Recently debunked. Marginal increase in productivity for junior developers, none for seniors. 41% increase in bugs. "Like cutting butter with a chains...

Well that's a good point too, especially as a lot of gold investment is in ETFs ... so when the grid goes down, everything goes to zero. You're right.

When the grid goes down, the crypto-heads will discover the difference between gold and crypto as a store of value.

I wish I'd been able to visualize complex functions the way people can these days. But you seem to be using visualization software in your images. The...

Oh. Interesting.

@"Pneumenon", I wanted to mention that I made yet another pass over the SEP article and I did sort of see what you're talking about regarding structur...

Sounds interesting. Life in the complex plane. By the way have you seen much of the modern graphing software that's so good at representing complex fu...

More of an algebra thing, as is category theory. Reminds me of Tim Gowers's distinction between problem solvers and theory builders. https://www.dpmms...

I said math is what mathematicians do. I stand by the remark. I reiterate my literal shock that this anodyne and obvious statement generated pushback ...

On this we fully agree. Likewise, thanks.

I did read it carefully. It was interesting. I have some minor remarks but no great insights. Yes, interesting question. Was 5 prime before there were...

Those are new to me. Evidently they all have Wiki pages. I surely didn't intend to give aid and comfort to social theorists whose ideas I've never hea...

I am wondering who these people are that you and @"ssu" think I'm giving comfort to. Do you mean cultural relativists, postmodernists, etc.? People wh...

I resemble that remark? My sense is that we are only arguing about a matter of degree. You don't entirely deny the social component of science. How co...

Science is sometimes but not always a social process. Then again I could defend the more radical framing. Science is done by people. How could it not ...

Is this not perfectly true? Applying leeches used to be medicine. Now it's not. Removing the perfectly healthy breasts of emotionally troubled 12 year...

I was only explaining that I preferred not to engage. Isomorphisms have everything to do with structuralism. An isomorphism says that two things are t...

Wow. I'm kind of stunned. I have no idea what I said that triggered such a strong reaction. Before dealing with that, let me expand on my remark. Math...

I'm always amused by this common philosophical example, since Venus isn't a star at all.

Have you seen Google's new AI-summarized search results? It takes forever. My browser delays for five or ten seconds before putting up a result. It's ...

I'm gonna quit while I'm behind here. My point. That was the subject of the conversation. So I wasn't sure how to respond to your remarks without goin...

My error if I gave the wrong definition. Which I always have to look up since I always forget it. Sometimes the Archimedean property is mentioned, oth...

Isn't this the definition you gave earlier? Was this post for me? If I mis-stated the definition, my bad.

I didn't say that at all. Only that calling math a system is far too general. It doesn't tell us anything about math. Yes ok. I suppose you'd need a m...

Not at all. Infinite divisibility is not in question within math. But there's no evidence for it in physics. That's my only point. In physics there is...

ok ... You opened by saying you wanted to discuss mathematical structuralism; specifically, that you wanted to oppose it. I'd be happy if we could foc...

I'll just give the laziest answer possible. I typed "is math a system" into Google. The Google AI responded: Google AI thinks so. Pretty much everythi...

Oh gosh I hope I haven't disappointed you ... now I feel pressure to be entertaining! Not at all. Just on the one hand, feeling totally inadequate to ...

Sure. I'll show the procedure in a moment. But what does that have to do with QM? You continually conflate math with physics and I continually note th...

Yes ok all good. Having fun. Late now and have some things to do tomorrow morning so I'll get to this in the afternoon.

Ok, conformal rescaling. Conformal means "angle preserving." So they're mapping the infinite plane onto a finite disk by projecting it through a spher...

Oh I see. In your OP you were stating an objection to it only to knock down the objection. That was not clear to me, and I did not read through this e...

Claringly, not a word I know. Typo for something else? Clearly? Clarity? In any event, many disciplines from physics to engineering to biology to econ...

Ah the good old daze ... This is the famous two spheres argument against the identity of indiscernibles. If this resonates with you, all to the good. ...

If I adjusted my statement to say that the mathematical real numbers nave no necessary bearing on the world, would that be better? We don't know wheth...

Nice troll bait. I'll play. There are plenty of anti-science types on the left. Look at the woo community, the astrologists, spiritualists, believers ...

I asked Google, "What does sarte say about beasts?" and their AI gave me a nice answer. I liked that last part. Some people are more crab-like. Lackin...

Not my intention at all.

The entire point of q^2 < 2 is to define that set without reference to irrationals. In fact that set is the standard example of a set of rationals tha...

Am I misunderstanding you? The rationals are not connected in the subspace topology because you can partition them into two disjoint open sets: those ...

Can't be connected. The two sets A = \{q \in \mathbb Q : q^2 < 2\} and B = \{q \in \mathbb Q : q^2 > 2\} are both open (proof in a moment) and disconn...

Five feet of heaven in a pony tail. https://www.youtube.com/watch?v=HtmRTeOZyxI

Right, that was the point of my question to @"sime". I did convince myself that if you take the rationals by themselves, you can define a topology by ...

It's well known that the powerset of any set forms a distributive lattice. "The power set of a set, when ordered by inclusion, is always a complete at...

Can you give an example of an open set of rationals? You've used the term several times. With respect to the usual topology on the reals, the rational...

I believe you should review the definition of Dedekind cuts. First, they can't be open sets, since (as Tones pointed out) L and R are sets of rational...

And then there was the left-handed Zen master who erased his words before he wrote them.

Because it's miscategorized in this thread, not for any other reason. There's a lengthy and tedious supertask thread that was active a few weeks ago t...