- An
axiom, postulate, or ****umption is a
statement that is
taken to be true, to
serve as a
premise or
starting point for
further reasoning and arguments...
- In mathematics, the
axiom of choice,
abbreviated AC or AoC, is an
axiom of set
theory equivalent to the
statement that a
Cartesian product of a collection...
-
mathematical logic, the
Peano axioms (/piˈɑːnoʊ/, [peˈaːno]), also
known as the Dedekind–Peano
axioms or the
Peano postulates, are
axioms for the
natural numbers...
- In mathematics, Smale's
axiom A
defines a
class of
dynamical systems which have been
extensively studied and
whose dynamics is
relatively well understood...
-
axiom of
choice included is
abbreviated ZFC,
where C
stands for "choice", and ZF
refers to the
axioms of Zermelo–Fraenkel set
theory with the
axiom of...
- Look up
axiom in Wiktionary, the free dictionary. An
axiom is a
proposition in
mathematics and
epistemology that is
taken to be self-evident or is chosen...
- Euclid's
approach consists in ****uming a
small set of
intuitively appealing axioms (postulates) and
deducing many
other propositions (theorems) from these...
- In mathematics, an
axiom of
countability is a
property of
certain mathematical objects that ****erts the
existence of a
countable set with
certain properties...
-
twentieth century, of
which Zermelo–Fraenkel set
theory (with or
without the
axiom of choice) is
still the best-known and most studied. Set
theory is commonly...
- An
axiom P is
independent if
there are no
other axioms Q such that Q
implies P. In many
cases independence is desired,
either to
reach the conclusion...
