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**ShivamS****Member**- Registered: 2011-02-07
- Posts: 3,646

For the pages at MIF, why not have a more layman-type definition and a rigorous one? For example, there are set theory tutorials on MIF, so why not cover the rigorous definition of a function and relation? You might want to add a page regarding Cartesian products in the set theory tutorials first.

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There are other sites for rigorous definitions..

'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'

'But our love is like the wind. I can't see it but I can feel it.' -A Walk to remember

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**ShivamS****Member**- Registered: 2011-02-07
- Posts: 3,646

To be honest, that isn't really a valid counterpoint. There are also other sites which provide mathematics tutorials. I meant not to just provide the definition, but explain it a little.

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Why do we need the formal definition?

bobbym wrote:

Anything formal is useless.

'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'

'But our love is like the wind. I can't see it but I can feel it.' -A Walk to remember

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**ShivamS****Member**- Registered: 2011-02-07
- Posts: 3,646

To understand mathematics better. And it is a requirement in further mathematics.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 95,961

I believe the quote is

Anything rigorous is meaningless

it was said by Rene Thom. It is not necessarily my viewpoint on rigor.

**In mathematics, you don't understand things. You just get used to them.**

**If it ain't broke, fix it until it is.**

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**bob bundy****Moderator**- Registered: 2010-06-20
- Posts: 7,020

hi ShivamS

There's nothing to stop you making such a page(s).

Bob

You cannot teach a man anything; you can only help him find it within himself..........Galileo Galilei

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**ShivamS****Member**- Registered: 2011-02-07
- Posts: 3,646

Agnishom wrote:

Why do we need the formal definition?

bobbym wrote:Anything formal is useless.

You do not like rigorous mathematics? That's probably because you haven't been exposed to a lot of it, but most of university mathematics is intuition/motivation -> definition -> derivation -> proof/other justification -> examples/application. There, everything is formal and you usually won't be given analogies like "a function is a machine," which is the popular one with functions.

bob bundy wrote:

hi ShivamS

There's nothing to stop you making such a page(s).

Bob

I am not MIF.

On a side note, what stage do you teach? I think you mentioned AS/A level some time ago.

*Last edited by ShivamS (2014-05-17 11:56:56)*

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**bob bundy****Moderator**- Registered: 2010-06-20
- Posts: 7,020

hi ShivamS

My training is for ages 11-18, but I have also taught younger and the occasional college student.

Bob

You cannot teach a man anything; you can only help him find it within himself..........Galileo Galilei

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**ShivamS****Member**- Registered: 2011-02-07
- Posts: 3,646

I also had a dream that bobbym posted in this thread saying his viewpoint on rigor!

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 95,961

He might have, but I usually do not pay much attention to what he says.

**In mathematics, you don't understand things. You just get used to them.**

**If it ain't broke, fix it until it is.**

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