- In
mathematics and logic, an
axiomatic system is any set of
primitive notions and
axioms to
logically derive theorems. A
theory is a consistent, relat...
-
There have been
several attempts in
history to
reach a
unified theory of mathematics. Some of the most
respected mathematicians in the
academia have expressed...
- (from (4) and (3) by
modus ponens)
There is an
unlimited amount of
axiomatisations of
predicate logic,
since for any
logic there is
freedom in choosing...
-
Business Administration. 9: 69–84. ISSN 1886-516X. Bibby, John (1974). "
Axiomatisations of the
average and a
further generalisation of
monotonic sequences"...
-
Applications of
measures include the
Lebesgue integral, Kolmogorov's
axiomatisation of
probability theory, and
ergodic theory.[citation needed] Knot theory...
- A
generalisation of this
theorem was
given by Bibby, John (1974). "
Axiomatisations of the
average and a
further generalisation of
monotonic sequences"...
-
there are no ur-elements, but they are
included in some
alternative axiomatisations of set theory. Ur-elements can be
treated as a
different logical type...
-
formalized at this time.
Giuseppe Peano provided in 1888 a
complete axiomatisation based on the
ordinal property of the
natural numbers. The last Peano's...
-
logician Charles Sanders Peirce. It was
taken as an
axiom in his
first axiomatisation of
propositional logic. It can be
thought of as the law of excluded...
- him his
theory of probability." Yet
Andrey Kolmogorov,
whose rival axiomatisation was
better received, was less severe: "The
basis for the applicability...
