The unreasonable effectiveness of mathematics in the natural sciences (1960) [pdf]

I think so much maths comes from thinking about science; really self evident with the development of calculus, statistics, LA, formal logics, etc.<p>It’s not like there is maths and there is science and it’s shocking that maths applies to science because the two came up independently: they are confounded by each other.

Math is as far as we can tell a totally universal building kit for anything we want to set up, all the way from elegant models like Newton&#x27;s laws to billion-parameter monster neural networks. The surprise is not so much the unreasonable effectiveness of math as it is the unreasonable simplicity of fundamental physics.

2017: <a href="https:&#x2F;&#x2F;news.ycombinator.com&#x2F;item?id=13954804" rel="nofollow">https:&#x2F;&#x2F;news.ycombinator.com&#x2F;item?id=13954804</a><p>2014: <a href="https:&#x2F;&#x2F;news.ycombinator.com&#x2F;item?id=8520610" rel="nofollow">https:&#x2F;&#x2F;news.ycombinator.com&#x2F;item?id=8520610</a>

The question I&#x27;d ask is if you found a description of nature, is there any chance it would be called not-math yet still describe the phenomenon in question?<p>Is there any example of something that isn&#x27;t considered math but describes nature?<p>Isn&#x27;t there a tendency for math to grow with science too?

Is the question<p>&quot;Is math behind everything or is that anything can be explained with math?&quot;<p>a valid question?<p>Even for &quot;chaos&quot; we have a chaos theory. Where we cannot apply function&#x2F;formulae to physical phenomenon, math tends to use empirical calculation and theory to study systems.<p>Is is that the universe bends to math or math bends to the universe?

An amazing book I’ve been reading is<p><a href="https:&#x2F;&#x2F;www.amazon.com&#x2F;Infinite-Powers-Calculus-Reveals-Universe&#x2F;dp&#x2F;1328879984&#x2F;" rel="nofollow">https:&#x2F;&#x2F;www.amazon.com&#x2F;Infinite-Powers-Calculus-Reveals-Univ...</a><p>The author explains the history of calculus leading up to Newton’s treatise on Calculus and how important calculus is to modern life. It’s behind everything you use from cell phones to containing HIV. Highly recommended.

Reminds me of this:<p><a href="https:&#x2F;&#x2F;youtu.be&#x2F;HEfHFsfGXjs" rel="nofollow">https:&#x2F;&#x2F;youtu.be&#x2F;HEfHFsfGXjs</a>

That&#x27;s because everything can be approximated with maths. Even with shoewhat random events you can tame it with statistics.

If ever there was a argument for Intelligent Design, this would be it.