False. It is proven to be true IF some axioms are assumed to be true. A mathematical statement can be proven to be true only after some axioms have been assumed.
theorem
Such a statement is called a theorem.true
Every statement apart from the axioms or postulates.
theorem
True
False. It is proven to be true IF some axioms are assumed to be true. A mathematical statement can be proven to be true only after some axioms have been assumed.
True. Euclid showed that more complex geometry could be described and proven deductively from a few simple principles.
A statement which appears to be true but has not been proven to be so, is a postulate.
true
Theorem: A Proven Statement. Postulate: An Accepted Statement without Proof. They mean similar things. A postulate is an unproven statement that is considered to be true; however a theorem is simply a statement that may be true or false, but only considered to be true if it has been proven.
A deductively valid argument is if the premises are true then the conclusion is certainly true, not possibly true. The definition does not say that the conclusion is true.
theorem
A good postulate is a statement which appears to be true, and perhaps can be shown to be true in simple cases, but which has not yet been proven.
A statement that can be proven true or false. Not a question, not a command, and not an opinion.
Such a statement is called a theorem.true
Every statement apart from the axioms or postulates.