View example sentences and word forms for Axiomatize.
Axiomatize meaning
To establish a set of axioms that describe or govern certain phenomena
Example sentences (6)
In modern set theory, it is common to restrict attention to the von Neumann universe of pure sets, and many systems of axiomatic set theory are designed to axiomatize the pure sets only.
There are typically multiple ways to axiomatize a given mathematical domain.
These all show that even for rational numbers exponentiation is not nearly as well-behaved as addition and multiplication, which is why one does not in general axiomatize exponentiation.
This result shows that it is possible to axiomatize ZFC with a single infinite axiom schema.
To axiomatize a system of knowledge is to show that its claims can be derived from a small, well-understood set of sentences (the axioms).
We axiomatize predicate calculus without equality, i.e. there are no special axioms expressing the properties of equality as a special relation symbol.