-
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...
- In mathematics, the
cardinality of a set is the
number of its elements. The
cardinality of a set may also be
called its size, when no
confusion with other...
- theory, this is
taken as the
definition of "same
number of elements" (
equinumerosity), and
generalising this
definition to
infinite sets
leads to the concept...
-
cardinality is
sometimes referred to as equipotence, equipollence, or
equinumerosity. It is thus said that two sets with the same
cardinality are, respectively...
- of
Equivalence relations:
Equality Parallel with (for
affine spaces)
Equinumerosity or "is in
bijection with"
Isomorphic Equipollent line
segments Tolerance...
- "propositional function", and in particular,
relations of "similarity" ("
equinumerosity":
placing the
elements of
collections in one-to-one correspondence)...
- B)\land (B\subset A)} . This is not to be
conflated with the
concept of
equinumerosity also used below. With A {\displaystyle A}
standing for { z ∣ Q ( z )...
-
cardinals and
ordinals as
equivalence classes under the
relations of
equinumerosity and similarity, so that this
conundrum does not arise. In
Quinian set...
