Proof of the inconsistency of arithmetics
Part of a convergent series on |
2+2=4 |
The proof of the inconsistency of aritmetics is a pseudomathematical proof used by some creationists to prove that 0=1 as a means to prove that something can exist out of nothing. According to believers of this theory it is fundamental to believe in it because it is a proof that a creator exists. The actual inventor of this proof is Luigi Guido Grandi and was developed by him in 1703. ^{[1]}.
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[edit] Proof
The proof can be explained in 4 steps:
[edit] Problem of the proof
At step one it is assumed that zero can be written as an infinitely converging row of values. In aritmetics, such a thing is extremely problematic as you can not know the outcome of infinity multiplied by zero at face value.
[edit] Extra notes
The series at step 2 has been named as Grandi's series^{} in his honor. Though Niels Henrik Abel ^{[2]} would have probably thought of him as a Satan worshipper.
[edit] References
- ↑ http://www.csus.edu/indiv/d/dowdenb/misc/god.htm
- ↑ N. H. Abel wrote "The divergent series are the invention of the devil, and it is a shame to base on them any demonstration whatsoever" (Gardner 1984, p. 171; Hoffman 1998, p. 218).