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The unreasonable effectiveness of the Fourier transform

joshuawise.com

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Re: The unreasonable effectiveness of the Fourier transform

#11
post #7
post #2

Okay, who's gonna write the story > The unreasonable effectiveness of The Unreasonable Effectiveness title?

How about The unreasonable effectiveness title considered harmful ?

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Re: The unreasonable effectiveness of the Fourier transform

#12
post #2

Okay, who's gonna write the story > The unreasonable effectiveness of The Unreasonable Effectiveness title?

Agreed, these kind of titles are very silly. FTs are actually very reasonable, in the sense that they are a easy to reason about conceptually and in practice. There's another title referenced in that link which is equally asinine: "Eugene Wigner's original discussion, "The Unreasonable Effectiveness of Mathematics in the Natural Sciences". " Like, wtf? Mathematics is the language of science, science would not compoun…

It is likewise unreasonable to look down on any kind of world model from the past. Remember that you, in 2026, are benefitting from millions of aggregate improvements to a world model that you've absorbed passively through participation in society, and not through original thought. You have a different vantage point on many things as a result of the shoulders of giants you get to stand on.

Re: The unreasonable effectiveness of the Fourier transform

#13
post #7
post #2

Okay, who's gonna write the story > The unreasonable effectiveness of The Unreasonable Effectiveness title?

How about The unreasonable effectiveness title considered harmful ?

"The unreasonable effectiveness" is all you need

Re: The unreasonable effectiveness of the Fourier transform

#14
post #7
post #2

Okay, who's gonna write the story > The unreasonable effectiveness of The Unreasonable Effectiveness title?

How about The unreasonable effectiveness title considered harmful ?

The unreasonable effectiveness of considering something harmful.

Re: The unreasonable effectiveness of the Fourier transform

#15
post #8

Earlier quoted context omitted.

Agreed, these kind of titles are very silly. FTs are actually very reasonable, in the sense that they are a easy to reason about conceptually and in practice. There's another title referenced in that link which is equally asinine: "Eugene Wigner's original discussion, "The Unreasonable Effectiveness of Mathematics in the Natural Sciences". " Like, wtf? Mathematics is the language of science, science would not compoun…

It is pretty funny to flippantly call an influential paper by someone who received a Nobel Prize in Physics 'asinine'.

I mean... this one's actually a pretty good paper, but we also had Linus Pauling pontificate on Vitamin C, so maybe we should cool it with the appeals to Nobel authority alone.

Re: The unreasonable effectiveness of the Fourier transform

#17
post #4

Earlier quoted context omitted.

Agreed, these kind of titles are very silly. FTs are actually very reasonable, in the sense that they are a easy to reason about conceptually and in practice. There's another title referenced in that link which is equally asinine: "Eugene Wigner's original discussion, "The Unreasonable Effectiveness of Mathematics in the Natural Sciences". " Like, wtf? Mathematics is the language of science, science would not compoun…

Hi, original presenter here :) The beginning is FTs 101. The end gets more application-centric around OFDM and is why it feels 'unreasonably effective' to me. If it feels obvious, there's a couple of slides at the end that are food for thought jumping off points. And if that's obvious to you too, let's collab on building an open source LTE modem!

If one wants to contribute to an open-source LTE modem, the best place to start may be OpenLTE: https://en.wikipedia.org/wiki/OpenLTE The core of any LTE modem is software, even if it is written for DSPs or other low-level software.

Re: The unreasonable effectiveness of the Fourier transform

#20
post #10

Earlier quoted context omitted.

Agreed, these kind of titles are very silly. FTs are actually very reasonable, in the sense that they are a easy to reason about conceptually and in practice. There's another title referenced in that link which is equally asinine: "Eugene Wigner's original discussion, "The Unreasonable Effectiveness of Mathematics in the Natural Sciences". " Like, wtf? Mathematics is the language of science, science would not compoun…

I find it hard to parse the middle of your post. Are you saying Wigner's article, which is what all the "unreasonable effectiveness" titles reference, is silly? If that is what you are saying I suggest that you actually go back and read it. Or at least the Wiki article: https://en.wikipedia.org/wiki/The_Unreasonable_Effectiveness... By means of contrast: I think it's clear that mathematics is, for example, not unreas…

Yeah it's silly, I don't mean it in any mean spirited way.

> Wigner's first example is the law of gravitation formulated by Isaac Newton. Originally used to model freely falling bodies on the surface of the Earth, this law was extended based on what Wigner terms "very scanty observations"[3] to describe the motion of the planets, where it "has proved accurate beyond all reasonable expectations."

So despite 'very scant observations' they yielded a very effective model. Okay fine. But deciding they should be 'unreasonably' so is just a pithy turn of phrase.

That mathematics can model science so well, is reductive and reduces to the core philosophy of mathematics question of whether it is invented or discovered. https://royalinstitutephilosophy.org/article/mathematics-dis...

Something can be effective, and can be unreasonably so if it's somehow unexpected, but I basically disagree that FTs or mathematics in general are unreasonably so since we have so much prior information to expect that these techniques actually are effective, almost obviously so.

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