Ludwig Wittgenstein. Highest of the praise from the highest of the men.pic.twitter.com/ivFWSENkZZ
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You can make all Boolean logic just using NAND. NOT a = a NAND a. a AND b = NOT (a NAND b) a OR b = (NOT a) NAND (NOT b) etc. (if I just got it right before falling asleep)
This is too much boolean algebra for me, even when I am wide awake.
Another way of saying this is anything that can in principle be computed with pencil and paper can, can be computed by some Turing machine. If a function is computable, then there exists a Turing machine for it.
And vice versa, but only if there is no limit on your time and paper. Even more fascinating, it can all done by a sequence of mappings between natural numbers.
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