Axioms

system in mathematics is a set of axioms with rules of inference that allow theorems to be derived from the axioms. A recurring concern has been whether

Publications. ISBN 978-0-486-27724-0.  The axiom gets its name not because mathematicians prefer it to other axioms. A. K. Dewdney from the famous April Fools'

scientists' laws of Nature, whilst the axioms play the role of initial conditions. We are not free to pick any axioms... They must be logically consistent

inexhaustible. No finite set of axioms and rules of inference can ever encompass the whole of mathematics. Given any finite set of axioms, we can find meaningful

the axiom of parallels. ...the construction of non-Euclidean geometries could have been equally well based upon the elimination of other axioms. It was