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Turing's treatment has a severely finitistic flavour: his argument is that the relevant action of the brain is not only computable, but realisable as a totally finite machine, i.e. as a Turing machine that does not use any 'tape' at all.
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The category (Delta ) is embedded into the larger category of all finite non-empty totally ordered sets, and although the embedding is an equivalence, it is prudent to distinguish between the two (as e.g. in [13]).
Global prosperity now depends on our species' success at a totally unfamiliar assignment: to "fit" our many billions of people on this small planet, with its finite resources and finite capacity to withstand pollution.
Beauty is finite.
Life is finite.
Consumer spending is finite.
Growth is not finite.
"The mine was finite.
"Utopia is always finite.
Joy isn't finite.
Time is finite.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com