axioms are statements which cannot be proved.but these statements are accepted universally.we know that any line can be drawn joining any two points.this does not have a proof
Commutative Property: The order of the objects from left to right doesn't matter. For example : 5+3+2 = 3+2+5 = 2+3+5, etc... Because addition is commutative.Associative Property: Where we put...
Say there's a relation ~ between the two objects a and b such that a ~ b. We call ~ an equivalence relation if: i) a ~ a.ii) If a ~ b. then b ~ a.iii) If a ~ b and b ~ c, then a ~ c. Where c is...
Field Axioms are assumed truths regarding a collection of items in a field.Let a, b, c be elements of a field F. Then:Commutativity:a+b=b+a and a*b=b*aAssociativity:(a+b)+c=a+(b+c) and (a*b)*c =...