- Look up commensurability, commensurable, commensurate,
incommensurability, or
incommensurable in Wiktionary, the free dictionary. Two
concepts or things...
- an
irrational number, the line
segments are also
described as
being incommensurable,
meaning that they
share no "measure" in common, that is,
there is...
-
which one is more
valid or useful. On the
other hand,
theories are
incommensurable if they are
embedded in
starkly contrasting conceptual frameworks whose...
- simultaneously.) This is
significant in
relation to the
issue of
incommensurability (see below). An
example of a
currently accepted paradigm would be...
-
succeeding a
paradigm shift are so
different that
their theories are
incommensurable—the new
paradigm cannot be
proven or
disproven by the
rules of the...
-
their ratio a/b is a
rational number;
otherwise a and b are
called incommensurable. (Recall that a
rational number is one that is
equivalent to the ratio...
- is the
problem of
incommensurability: the
question of
whether there are
incommensurable values. Two
values are
incommensurable if
there is no fact as...
- figures, as well as a
theory of
ratios that
avoided the
problem of
incommensurable magnitudes,
which enabled subsequent geometers to make significant...
-
realization of a
length incommensurable with the unit, such as √2, √3, √5 . For more detail, see
Quadratic irrational.
Incommensurable lengths conflicted with...
-
plane and
solid Euclidean geometry,
elementary number theory, and
incommensurable lines.
Elements is the
oldest extant large-scale
deductive treatment...
