Last Updated：2026/01/01
Sentence
The
fact
that
we
eventually
reach
a
formulation
free
from
logic
(in
terms
of
functional
analysis)
does
not
invalidate
the
use
of
logical
tools:
in
fact
the
simplest
way
to
prove
termination
(i.e.
nilpotency)
will
always
be
standard
logical
manipulation,
"symbol
pushing";
but
the
existence
of
a
model
for
this
symbol
pushing
obviously
brings
in
new
methods,
insights,
etc.
Quizzes for review
The fact that we eventually reach a formulation free from logic (in terms of functional analysis) does not invalidate the use of logical tools: in fact the simplest way to prove termination (i.e. nilpotency) will always be standard logical manipulation, symbol pushing
; but the existence of a model for this symbol pushing obviously brings in new methods, insights, etc.
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