It's been a while since I insulted Mathematics. I think...It's time...And perhaps you'll see a hidden sense of message inside.

I hope so 220410...most good luck

Using with very basic example:
Prove using Mathematic Induction that (7^n)+2 is divisble by 3

i) prove it for n=1
7^1 = 7
7+2=9
9/3 = 3

therefore divisble

ii) Assume it's true
erm...It's true?

iii) Prove for all other values
ie: n+1

General rule is:
(7^n)+2 =Tn
Can be rewritten as
7^n= Tn-2

Gerneral rule for n+1 is just simply replacing n with n+1 thus:
(7^(n+1))+2=Tn+1
by taking 7^n+1
by using laws of indices this can be rewritten as
7^n * 7^1


By combing both rules together:
(Tn-2) * 7 +2=Tn+1

7Tn - 14 +2 = Tn+1
7Tn - 12 = Tn+1

Tn we have proven from n=1 that it is divisble by 3 therefore no matter what number times by it...it will still be divisble by 3

12/3 =4 therefore divisble by 3

Q.E.D 7^n +2 is divisible by 3

The problem with induction is that it moves from premises about particular observations to a conclusion which is a just a gerneral principle. Inductive argumenets are just normally assumed to proudce a conclusion which is just merely probable

I told the doctor about this. he was not pleased. And told me just to do the maths and stop the philosophy.

Ah well...
I most hope not that it's not inductive 220410 <3