(8) "Axioms" or "postulates" are statements that are assumed, without further justification, whereas "theorems" or "proposi- tions" are proved using the axioms. pressed as a quotient of two whole numbers. ematical statements to make sure they were correct. (9) We call V2 an "irrational number" because it cannot be ex- (10) The ancient Greeks were the first to insist on proofs for math-

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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College Geometry (Proof):
State whether the following statements are correct or not:
Give a short explanation for each.

(8) "Axioms" or "postulates" are statements that are assumed,
without further justification, whereas "theorems" or "proposi-
tions" are proved using the axioms.
pressed as a quotient of two whole numbers.
ematical statements to make sure they were correct.
(9) We call V2 an "irrational number" because it cannot be ex-
(10) The ancient Greeks were the first to insist on proofs for math-
Transcribed Image Text:(8) "Axioms" or "postulates" are statements that are assumed, without further justification, whereas "theorems" or "proposi- tions" are proved using the axioms. pressed as a quotient of two whole numbers. ematical statements to make sure they were correct. (9) We call V2 an "irrational number" because it cannot be ex- (10) The ancient Greeks were the first to insist on proofs for math-
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