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#1 2014-05-16 20:02:13

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 87,240

The 37th Opinion.


In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

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#2 2014-05-17 00:38:10

ShivamS
Member
Registered: 2011-02-07
Posts: 3,556

Re: The 37th Opinion.

Nice article!

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#3 2014-05-17 01:20:14

Agnishom
Real Member
From: The Complex Plane
Registered: 2011-01-29
Posts: 17,176
Website

Re: The 37th Opinion.

Why did I miss out this quality post?


'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'
'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'
'You have made another human being happy. There is no greater accomplishment.' -bobbym

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#4 2014-05-17 01:32:14

Agnishom
Real Member
From: The Complex Plane
Registered: 2011-01-29
Posts: 17,176
Website

Re: The 37th Opinion.

Now again, to understand Opinion 37 really deeply, I need to program it. how do I do that?


'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'
'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'
'You have made another human being happy. There is no greater accomplishment.' -bobbym

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#5 2014-05-17 01:38:48

ShivamS
Member
Registered: 2011-02-07
Posts: 3,556

Re: The 37th Opinion.

He said you need to program math, not English.

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#6 2014-05-17 02:01:25

Agnishom
Real Member
From: The Complex Plane
Registered: 2011-01-29
Posts: 17,176
Website

Re: The 37th Opinion.

But to understand the difference between math and english, I need to come up with some program. Hmmmmmm


'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'
'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'
'You have made another human being happy. There is no greater accomplishment.' -bobbym

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#7 2014-05-17 02:19:41

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 87,240

Re: The 37th Opinion.

Is it possible you over examined it? Why must you program to program?


In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

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#8 2014-05-17 03:54:05

ShivamS
Member
Registered: 2011-02-07
Posts: 3,556

Re: The 37th Opinion.

I agree with most of what he said, but just a few details I do not agree with:

1. He said that 99% of mathematicians can't program non-trivially. I am sure he means mathematics majors or graduate students, because most mathematicians in the industry or academia can probably program pretty well. As for mathematics students, especially at the top universities, they are required to program efficiently and well. I do understand his perspective that at many universities, students are merely taught to code (that is, just learn the syntax and create trivial programs).

2. He said that programming mathematics is the best way to learn. I have used that method several times and have found it to be very effective and it is probably one of the best methods of learning or practising mathematics. However, methods such as teaching it, doing problems/proofs etc are very effective as well and I do not know how to quantify effectiveness of learning. Therefore, I wouldn't say it is the most effective way.

3. He also said that programs are better than the usual proofs. I think programs are a good way to prove something, but I wouldn't go as far to say they are a better method than standard proofs because once again, I do not know how to quantify it.

Sorry if I sound like I am too exacting.

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