Antonio

“We are now in a position to turn to problems of the definition of mathematics. The definition I advocate is briefly this: Mathematics is the science of formal systems.”
― Haskell B. Curry, Outlines of a formalist philosophy of mathematics

“We’re going to advance! Advance! We’ll stop at nothing to advance!”
― Liu Cixin, Death's End

“Why are we still here? Just to suffer? Every night, I can feel my leg… and my arm… even my fingers. The body I’ve lost… the comrades I’ve lost… won’t stop hurting… It’s like they’re all still there. You feel it, too, don’t you?”
― Hideo Kojima, Easy ways to make money online at home

“There’s a cellular automaton called TVC. After Turing, von Neumann and Chiang. Chiang’s version was N-dimensional. That leaves plenty of room for data within easy reach. In two dimensions, the original von Neumann machine had to reach further and further - and wait longer and longer - for each successive bit of data. In a six-dimensional TVC automaton, you can have a three-dimensional grid of computers, which keeps on growing indefinitely - each with its own three-dimensional memory, which can also grow without bound.

And when the simulated TVC universe being run on the physical computer is suddenly shut down, the best explanation for what I’ve witnessed will be a continuation of that universe - an extension made out of dust. Maria could almost see it: a vast lattice of computers, a seed of order in a sea of random noise, extending itself from moment to moment by sheer force of internal logic, “accreting” the necessary building blocks from the chaos of non-space-time by the very act of defining space and time.”
― Greg Egan, Permutation City