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Is every statement a theorem why?

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".


True or false If you took a true if-then statement and inserted a not in each clause the new statement would also be true.?

False. If you take a true if-then statement and insert "not" in each clause, the new statement may not necessarily be true. The structure of the logic changes, and a true statement can become false depending on the relationships between the clauses. For example, the original statement "If A, then B" becomes "If not A, then not B," which is not logically equivalent.


Is this statement true or falseMOP is an example of the Reflexive Property of Similarity?

false


True or false If you took an if-then statement and reversed the clauses the new statement would also be true. A. True B. False?

B. False. Reversing the clauses of an if-then statement changes its meaning, and the new statement is not necessarily true. For example, in the statement "If it rains, then the ground is wet," reversing it to "If the ground is wet, then it rains" is not always true, as the ground could be wet for other reasons.


In math what one thing do you need to prove a statement is false?

To prove a statement false, you need ONE example of when it is not true.To prove it true, you need to show it is ALWAYS true.

Related Questions

Is this statement true or falseThis following statement is an example of the Multiplication Property of Inequality?

true


What is a number that produces a true statement?

An example of a true statement in algebra is x=x


What is circular logic?

Circular logic would be a statement or series of statements that are true because of another statement, which is true because of the first. For example, statement A is true because statement B is true. Statement B is true because statement A is true


An example of paradox?

One classic example of a paradox is the "liar paradox," which revolves around a statement that cannot consistently be true or false. An example would be the statement "This statement is false." If the statement is true, then it must be false, but if it is false, then it must be true, creating a paradoxical situation.


What are showing statements in grammar?

In writing, there is a difference between telling statements and showing statements. A telling statement states a fact, such as that it was cold. A showing statement would illustrate that by, for example, describing how everyone was shivering.


What is an example of paradoxes?

The below statement is false. The above statement is true. I am lying. I am lying when I say I am lying.


What is the proof showing that the heights of a triangle are concurrent?

There cannot be a proof because the statement need not be true.


An example used to show that a given statement is not always true?

counter example


Is a solution a example of homogeneous mixture true or false?

true


What is an example of a true statement that has a false converse?

"All human beings are animals" is a true statement. All animals are not human beings.


Is every statement a theorem why?

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".


Is The decimal number 25.33 is an example of a terminating decimal true or false?

The statement is true.