When something is both true and false?

In mathematics, two statements that are either both true or both false are said to be equivalent. If the two statements are A and B, one might also say A if and only if B, or A iff B for short. It seems like only a logician could call “3 * 3 = 10” and “4 * 4 = 15” equivalent statements.

Can a statement be true and false at the same time math?

The same statement can be true on some occasions and false in others. That is, statements are not always true or always false.

Is a statement that can be either true or false?

Proposition is simply a statement that is either true or false, has no variables involved.

Is not true equal to false?

When someone says something is not true, it can have a value not only of -1, but also of 0. Therefore, not true (0, -1) is not the same as false (-1).

Do true contradictions exist?

Instead, it’s something we apply to judge our models of the world. It’s a property of our representations, not of concrete objects. So, since truth and falsity don’t exist ‘out there’ in the world, nor do contradictions. Contradictions are merely properties of bad descriptions.

Can both be true in an OR statement?

The statement is only false when both parts of the statement are false. In other words, the statement is only false if “it will rain” is false and “it will snow” is also false. When one or both parts of an “or” statement are true then the whole statement is true….Example 1.

P Q P∨Q
T F T
F T T
F F F

Is a statement that is either true or false but not both simultaneously?

Statement: a sentence that is either true or false, but not both. It is also called a proposition.

Is a statement true or false?

A true-false statement is any sentence that is either true or false but not both. A negation of a statement has the opposite meaning of a truth value.

What is the difference between false and true?

The distinction between truth and false is often perceived as an easy distinction to make, like a yes or no question. If you lie about something for example, then what you are saying is false, if you tell the truth then it is true.

What does false and false evaluate to?

TRUE (say: not true) to evaluate to FALSE and ! FALSE (say: not false) to evaluate to TRUE. Try using the NOT operator and the equals operator to find the opposite of whether 5 is equal to 7. ! 5 == 7 ## [1] TRUE.

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