Jon Alan Schmidt, list,
I should have looked up "equidimensional" before I suggested it. Sorry
about that!
"Homodiastasic" though it requires explanation (as any word for the
concept in question would require) would be pretty good except that,
etym for etym, it's just a Greek way of saying "equidimensional".
It's a tough word problem.
communidimensional ("common-dimensional")
lenequidimensional ("smooth-equidimensional")
equaliteridimensional, equaliterodimensional,
equaliterdimensional ("smoothly dimensional").
Best, Ben
On 9/6/2019 9:44 PM, Jon Alan Schmidt wrote:
Ben U., List:
I am not thrilled with "homodimensionality" either, and open to other
suggestions. However, "equidimensionality" already has a definition
in mathematics, specifically topology--"a property of a space that the
local dimension is the same everywhere"
(https://en.wikipedia.org/wiki/Equidimensionality). I suppose that
another alternative is to go all-Greek with "homodiastaseon," but no
English-speaker would recognize what that means without an
explanation. "Dimensional homogeneity" is also already taken; it is
used in physics for "the quality of an equation having quantities of
same units on both sides"
(https://en.wikipedia.org/wiki/Homogeneity_(physics)#Dimensional_homogeneity).
Perhaps a more promising candidate, although a more cumbersome one, is
"homogeneity in dimensionality"--especially since Peirce himself used
"homogeneous in dimensionality" in (R S-30 [Copy T:5-7]; c. 1906). It
could then be paired with "homogeneity in contiguity" as the two
specific ways in which "a continuum is that of which every part has
itself parts /of the same kind/" (CP 6.168; c. 1903-1904, emphasis mine).
Regards,
Jon Alan Schmidt - Olathe, Kansas, USA
Professional Engineer, Amateur Philosopher, Lutheran Layman
www.LinkedIn.com/in/JonAlanSchmidt
<http://www.LinkedIn.com/in/JonAlanSchmidt> -
twitter.com/JonAlanSchmidt <http://twitter.com/JonAlanSchmidt>
On Fri, Sep 6, 2019 at 7:14 PM Ben Udell <[email protected]
<mailto:[email protected]>> wrote:
"Homodimensionality" is a supertypical Greek-Latin etymological
monstrosity!
The Latinate form closest etym-for-etym to same-dimensionality
would be
the (feminine) eadem + dimensio(n) + ality,
eadendimensionality
but much more usual would be:
equidimensionality.
Best, Ben
On 9/6/2019 6:14 PM, Jon Alan Schmidt wrote:
A discrete point indeed cannot be a /part/ of a continuous line,
surface, or space; but in addition, a continuous one-dimensional
line cannot be a /part/ of a continuous two-dimensional surface
or three-dimensional space, and a continuous two-dimensional
surface cannot be a /part/ of a continuous three-dimensional
space. Should we perhaps introduce the term "homodimensionality"
for this aspect?
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