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Constructivism/intuitionism seems to have culminated into modern-day finitism/ultrafinitism. In the likes of Doron Zeilberger (crank or genius - you decide).

Par for the course for computer scientists - if we had infinite time/space we wouldn't have to optimise anything.

This paper [1] by Ed Nelson presents a brilliant analysis on the difference between classical logicians and intuitionists.

It starts with a crucial distinction in semantics.

Assuming ∀x¬A and arriving at a contradiction not a proof for ∃xA.

And yet, simply on the grounds of utility, the intuitionist perspective is far more useful to me as an every-day philosophy simply because "incomplete communications" is a mental model of how human systems/interactions work and how information flows in general. That which we call knowledge is socially constructed [2] and is always incomplete.

[1] https://web.math.princeton.edu/~nelson/papers/int.pdf

[2] https://en.wikipedia.org/wiki/Constructivist_epistemology






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