Last Updated：2022/12/24
Recall that absolute geometry is the set of statements that can be deduced from Euclid's first four postulates. Then existence of parallel lines is certainly a theorem of absolute geometry, while the question being addressed by most of the mathematicians discussed in this section is whether uniqueness of parallels is also a theorem of absolute geometry.
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Recall
that
absolute
geometry
is
the
set
of
statements
that
can
be
deduced
from
Euclid's
first
four
postulates.
Then
existence
of
parallel
lines
is
certainly
a
theorem
of
absolute
geometry,
while
the
question
being
addressed
by
most
of
the
mathematicians
discussed
in
this
section
is
whether
uniqueness
of
parallels
is
also
a
theorem
of
absolute
geometry.
