[FOM] proofs by contradiction in (classical?) Physics
Hendrik Boom
hendrik at topoi.pooq.com
Mon Sep 19 17:09:52 EDT 2011
On Sun, Sep 18, 2011 at 09:41:45PM +0200, Fouche wrote:
> Can one use proofs by contradiction in Physics? And if it is possible, why
> they are so rare? Is there some intrinsical problem in proving a physical
> fact assuming its contrary? Is it "formally" correct, in the system we use
> to build physical models? Is the "tertium non datur" true in classical or
> quantum Physics?
It has been argued (does anyone remember where?) that intuitionistic
math is adequate for physics, because physics theories are established
by failing to be falsified. The resulting negativity means that any
classical arguments can be translated by the double-negation
interpretation into an intuitionistic argument without loss of
applicability to the physics.
-- hendrik
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