What is axioms? And list the 7 axioms ?
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a rule or principle that most people believe to be true
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An axiom, postulate or assumption is a statement that is taken to be true, to serve as a premise or starting point for further reasoning and arguments. The word comes from the Greek axíōma 'that which is thought worthy or fit' or 'that which commends itself as evident.'
Here are the seven axioms given by Euclid for geometry :-
- Things which are equal to the same thing are equal to one another.
- If equals are added to equals, the wholes are equal.
- If equals are subtracted from equals, the remainders are equal.
- Things which coincide with one another are equal to one another.
- The whole is greater than the part.
- Things which are double of the same things are equal to one another.
- Things which are halves of the same things are equal to one another.
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