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 Math Help > Math Jokes > Mathematical Induction

Using this proof, you can equate any pair of numbers!

# Mathematical Induction

 The principle of MI is very useful. It can be used to prove lots of things, including at least one thing that ISN'T EVEN TRUE! Theorem: A positive integer n is equal to any positive integer which does not exceed it. Proof by induction: Case n = 1. The only positive integer which does not exceed 1 is 1 itself and 1 = 1. Assume true for n = k. Then by assumption k=k-1, as k-1 doesn't exceed k.  Add 1 to both sides and get k+1=k. QED.

This proof is extremely important, because it can be used to equate any pair of numbers.

For example

e = π, by this reasoning:

2 ≤ e ≤ 3, and 2=3, so 3 ≤ e ≤ 3, so e=3.

3 ≤ π ≤ 4, and 3=4, so 3 ≤ π ≤ 3, so π=3.

### References

Edwin McCravy provided this bogus proof.

### Related pages in this website

Index of joke proofs

An alternative proof that 2=1

Another alternative proof that 2=1

The webmaster and author of this Math Help site is Graeme McRae.