Axiom

And there are different sets of axiom systems: geometry ( eucilidianEuclidean plane )geometry, the first,Zermelo-Fraenkel axioms for set theory, Kolmogorov's axioms for probability theory another, stochasic another and so on.

The seminglyseemingly "absolute trueness"truth" of mathematics is an illusion. Playing with "mathematical certainties" outside their field can end in more and more and more illusionalillusory certainties.

EveryAxioms (together with definitions) forms the basis of mathematical theory is based on a set of axioms and definitions.theorems. Every mathematical theorem is only  proven inside its axiom system.

Every mathematical theory is based on a set of axioms and definitions. Every mathematical theorem is only  proven inside the its axiom system.

All mathematics is a sort of if - then language, only true inside the appropriate axiom system.

AdAnd there are different sets of axiom systems: geometry ( eucilianeucilidian plane ) the first, set theory another, stochasic another and so on.

Every mathematical theory is based on a set of axioms and definitions. Every mathematical theorem is only  proven inside the its axiom system.

All mathematics a sort of if - then language, only true inside the appropriate axiom system.

Ad there are different sets of axiom systems: geometry ( eucilian plane ) the first, set theory another, stochasic another and so on.

The semingly "absolute trueness" of mathematics is an illusion. Playing with "mathematical certainties" outside their field can end in more and more and more illusional certainties.