Math vocab
Terms
undefined, object
copy deck
- counter example
- an example that disprooves the generalization
- direct proofs
- is a proof that starts with a given statement and uses the laws of logic to arrive at the statement to be prooved
- postulate (axioms)
- is a statement whose truth is accepted without a proof
- partition postulate
- a whole is equal to the sum of its parts
- theorems
- is a statement that is prooved by deductive reasoing
- addition postulate
- if equal quantities are added to equal quantities, the sums are equal
- subtraction postulate
- if equal quantities are subtracted to from equal quantities their difference is equal
- deductive reasoing
- applies the laws of logic to a series of true statements to arrive at a conclusion
- inductive peasoning
- uses a series oo particular examples to lead to a general conclusion
- powers postulate
- the squares of equal quantities are equal
- indirect proof
- is a proof that states with the negation of the statement to be prooved and uses the laws of logic to show it is false
- division postulate
- if equal quatities are divided by nonzero equal quantities the quotients are equal
- multiplication postulate
- if equal quantities are multiplied by equal quanities the products are equal
- symmetric
- an equality may be expressed in any order
- conjectures
- a statement that is likely to be true but has not been proven by a deductive
- transitive
- quantities equal to the same quantity are equal to each other
- roots postulate
- positive square roots of positive equal quantities are equal
- substitution postulte
- a quantity may be substituted for its equal in ant statement of equality
- reflexive
- a quantity that is equal to itself