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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".
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Something like "Write a false statement".
It is a question that is definitely true or definitely false. It can't be both.
Yes, a statement can be true or false but without knowing what the statement is no-one can possibly say whether it is true or it is false.
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".
A contradictory proposition is a proposition that contains a contradiction and therefore is false.
Something like "Write a false statement".
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If the statement is false, then "This statement is false", is a lie, making it "This statement is true." The statement is now true. But if the statement is true, then "This statement is false" is true, making the statement false. But if the statement is false, then "This statement is false", is a lie, making it "This statement is true." The statement is now true. But if the statement is true, then... It's one of the biggest paradoxes ever, just like saying, "I'm lying right now."
The word 'negate' means to 'nullify' or to 'render ineffective'. Negating can be used to deny the existence or truth of something.
To state as untrue means to declare or assert that something is false or not accurate. It is to explicitly deny the validity of a claim or statement.
If is a keyword that introduces a conditional expression. If the expression evaluates true, the statement or statement block that follows is executed, otherwise control is passed to the line following the statement or statement block, which may be another conditional expression. if( expression_1 ) { // do something when expression_1 is true } else if( expression_2) { // do something when expression_1 is false but expression_2 is true } else { // do something when both expression_1 and expression_2 are false }
a situation in which you think that something good will happen, but it does not
It is a question that is definitely true or definitely false. It can't be both.
A false statement is "Wetlands are deserts."
A logic gate that causes something to happen depending on if the statement is either true or false