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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".
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.
It is often a tautology - a statement which is true bit adds nothing to anyone's knowledge. A recent example is the fatuous remark by the British Prime Minister "Brexit is Brexit".
You make a statement that is either a true one or a false one. Simple as that. For example, you might say "The moon is made of green cheese" as a false statement and most people know that's wrong.
true
true
An example of a true statement in algebra is x=x
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
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.
There cannot be a proof because the statement need not be true.
counter example
"All human beings are animals" is a true statement. All animals are not human beings.
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".
The statement is true.
give the example of general statement were no streetrees
a paradox is a statement or a group of statements that contradicts itself. for example: the statement below is true. the statement above is false.