- In set theory,
Zermelo–Fraenkel set theory,
named after mathematicians Ernst Zermelo and
Abraham Fraenkel, is an
axiomatic system that was
proposed in...
-
Ernst Friedrich Ferdinand Zermelo (/zɜːrˈmɛloʊ/, German: [tsɛɐ̯ˈmeːlo]; 27 July 1871 – 21 May 1953) was a
German logician and mathematician,
whose work...
-
Zermelo set
theory (sometimes
denoted by Z-), as set out in a
seminal paper in 1908 by
Ernst Zermelo, is the
ancestor of
modern Zermelo–Fraenkel set theory...
-
proposed in 1908: Russell's own type
theory and the
Zermelo set theory. In particular,
Zermelo's axioms restricted the
unlimited comprehension principle...
- particular,
Ernst Zermelo provided a
construction that is
nowadays only of
historical interest, and is
sometimes referred to as
Zermelo ordinals. It consists...
- In game theory,
Zermelo's theorem is a
theorem about finite two-person
games of
perfect information in
which the
players move
alternately and in which...
- In mathematics, the well-ordering theorem, also
known as
Zermelo's theorem,
states that
every set can be well-ordered. A set X is well-ordered by a strict...
-
Cantor (1874). Katz (1998), p. 807.
Zermelo (1904).
Zermelo (1908a). Burali-Forti (1897).
Richard (1905).
Zermelo (1908b). Ferreirós (2001), p. 445. Fraenkel...
-
axiomatic systems were
proposed in the
early twentieth century, of
which Zermelo–Fraenkel set
theory (with or
without the
axiom of choice) is
still the...
- {\displaystyle i\in I} . The
axiom of
choice was
formulated in 1904 by
Ernst Zermelo in
order to
formalize his
proof of the well-ordering theorem. The axiom...
