[Coda]

2, 3, 5, 7, 11, 13, 17, 19, 23, 29... nope, you didn't count wrong!

30.

[Potironette]

11th prime number xD

[trystan830]

32!

[Potironette]

Two threes side by side make me

[trystan830]

34.

boring.

[Coda]

35. Well, not every number can be super interesting... although what IS interesting is that there's no such thing as an "uninteresting" number. If there were, it would be a paradox, because being uninteresting would itself be interesting.

[Potironette]

Thirty-six
...in other words, # are always interesting
but "not interesting" is "interesting"
so if a # is "not interesting", it is "interesting"
Therefore all things are interesting because not interesting is interesting... no wait, this only applies to numbers
Why are all numbers interesting?

[Coda]

37

You got the proof exactly correct. If there were an uninteresting number, that fact would itself be interesting, and therefore the number would not be uninteresting. so that's a paradox. By reductio ad absurdum, that means there are no uninteresting numbers.

[Potironette]

2 less than 40

-searches up "reductio ad absurdum"-
-head hurts trying to understand the examples. Actually making an example is harder-

[Coda]

39

The short explanation of "reductio ad absurdum" is that you prove that something is false by demonstrating how assuming it's true produces a paradox or obvious falsehood. (Or vice versa, you prove it true by demonstrating that assuming it's false makes one.)

[Potironette]

Four in the tens place, zero in the ones place

If melons are orange but only only oranges are orange then melons cannot be orange.
If the cat is scared of heights but it climbed a tree it cannot be scared of heights
If triangles have four sides but the definition of a triangle means it has three sides then it does not have four sides

Ahh okay, I think get it now.

[trystan830]

41.

that's a boring number....

[Potironette]

42

41 is a prime number :p

[trystan830]

43

well 42 is the ultimate answer to life, the universe, and everything. XD

[Potironette]

4*11

o_o I completely forgot about that

[trystan830]

45

heh, it's ok, Potironette.... it's oddly in the forefront of my brain. a lot. more than it should be.... ;)