Okay, I have another "problem" that I think is fun to think about:
2/3 = 0.6
2/3 + 2/3 + 2/3 = 6/3 = 2
0.6 + 0.6 + 0.6 = ???
I just find this interesting because the more sets of 3 2/3's(2/3 + 2/3 + 2/3) that we try and add, whole numbers in essence, the more we start to move away from 0.9 and 1 if we try to calculate it by means that we understand, i.e.:
2/3 + 2/3 + 2/3 = 6/3 = 2
0.6 + 0.6 + 0.6 = 0.666... with an 8 at the end
2/3 + 2/3 + 2/3 + 2/3 + 2/3 + 2/3 = 12/3 = 4
0.6 + 0.6 + 0.6 + 0.6 + 0.6 + 0.6 = 0.666... with a 6 at the end
and so forth. Yet by our proofs from earlier we should always equal one. Just something to ponder.
It's almost like the more we try to break down infinity, the more it deteriorates.
