View example sentences and word forms for Axiomatizations.
Axiomatizations meaning
plural of axiomatization
Example sentences (6)
Alternative axiomatizations As with other algebraic structures, there exist alternative axiomatizations.
Gödel's incompleteness theorems (Gödel 1931) establish additional limits on first-order axiomatizations.
However, it's still important for historical considerations, and for comparison with alternative axiomatizations of set theory, as can be seen for example in the following sections.
Many of the basic notions, such as ordinal and cardinal numbers, were developed informally by Cantor before formal axiomatizations of set theory were developed.
Separation is still important, however, for use in fragments of ZFC, because of historical considerations, and for comparison with alternative axiomatizations of set theory.
The axiom of power set appears in most axiomatizations of set theory.