-
Equinumerosity is
compatible with the
basic set
operations in a way that
allows the
definition of
cardinal arithmetic. Specifically,
equinumerosity is...
-
under the
equivalence relation of
equinumerosity. This
definition may
appear circular, but it is not,
because equinumerosity can be
defined in
alternate ways...
-
classes on the
entire universe of sets, by
equinumerosity). The
concepts are
developed by
defining equinumerosity in
terms of
functions and the
concepts of...
- theory, this is
taken as the
definition of "same
number of elements" (
equinumerosity), and
generalising this
definition to
infinite sets
leads to the concept...
-
defined as follows. The
relation of
having the same
cardinality is
called equinumerosity, and this is an
equivalence relation on the
class of all sets. The equivalence...
- "propositional function", and in particular,
relations of "similarity" ("
equinumerosity":
placing the
elements of
collections in one-to-one correspondence)...
- of
Equivalence relations:
Equality Parallel with (for
affine spaces)
Equinumerosity or "is in
bijection with"
Isomorphic Equipollent line
segments Tolerance...
-
cardinality is
sometimes referred to as equipotence, equipollence, or
equinumerosity. It is thus said that two sets with the same
cardinality are, respectively...
-
cardinals and
ordinals as
equivalence classes under the
relations of
equinumerosity and similarity, so that this
conundrum does not arise. In
Quinian set...
-
denotes the
power class of x and “ ≈ {\displaystyle \approx } ”
denotes equinumerosity. What Tarski's
axiom states (in the vernacular) is that for each set...
