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There are many kinds of statement that are not theorems:
A statement can be an axiom, that is, something that is assumed to be true without proof. It is usually self-evident, but like Euclid's parallel postulate, need not be.
A statement need not be true in all circumstances - for example, A*B = B*A (commutativity) is not necessarily true for matrix multiplication.
A statement can be false.
A statement can be self-contradictory for example, "This statement is false".
What else can I help you with?
Can a theorem have a counterexample?
No, a theorem cannot have a counterexample, as a theorem is a statement that has been proven to be true under a specific set of conditions. A counterexample, on the other hand, demonstrates that a statement or conjecture is false by providing an instance where the statement does not hold. If a counterexample exists, the statement is not a theorem.
What type of statement must be PROVEN in geometry?
That is a theorem.A theorem.
Is a theorem a statement that can be easily proved using a corollary?
No. A corollary is a statement that can be easily proved using a theorem.
What statement to a theorem can be proven easily using the theorem?
A corollary.
Can a theorem cannot have counterexamples?
A theorem, by definition, is a statement that has been proven to be true based on previously established axioms and theorems. Therefore, a theorem cannot have counterexamples, as counterexamples would indicate that the statement is false. If a purported theorem does have a counterexample, it is not a true theorem. Thus, a valid theorem is universally applicable within its defined conditions.
A statement that is proved by deductive logic is called a?
A theorem is a statement that is proved by deductive logic.
Can a theorem have a counterexample?
No, a theorem cannot have a counterexample, as a theorem is a statement that has been proven to be true under a specific set of conditions. A counterexample, on the other hand, demonstrates that a statement or conjecture is false by providing an instance where the statement does not hold. If a counterexample exists, the statement is not a theorem.
What type of statement must be PROVEN in geometry?
That is a theorem.A theorem.
Is a theorem a statement that can be easily proved using a corollary?
No. A corollary is a statement that can be easily proved using a theorem.
A corollary is a statement that can easily be proved using a theorem?
A corollary is a statement that can easily be proved using a theorem.
A corollary is a statement that can be easily proved using a theorem?
No. A corollary is a statement that can be easily proved using a theorem.
What statement to a theorem can be proven easily using the theorem?
A corollary.
Which is a true statement that can be proven diagram hypothesis theorem postulate?
theorem
Statement of sampling theorem?
sampling theorem is used to know about sample signal.
What statement represents the premise of a theorem?
If
A statement that can be proven?
theorem
which is a true statement that can be proven?
theorem
