Quick Answer: Is A Contradiction Always False?

What is a self contradictory statement called?

Another word for a self-contradictory statement is oxymoron..

Can a paradox be true?

A paradox is a statement that may seem contradictory but can be true (or at least make sense). This makes them stand out and play an important role in literature and everyday life. Beyond that, they can simply be entertaining brain teasers.

Can two contradictory statements be false?

Question: 1) Two Contradictory Statements Can Both Be True, But Cannot Both Be False.

Which statement is always false?

A statement which is always true is called a tautology. A statement which is always false is called a contradiction. For example, p ∧ (¬p) is a contradiction, while p ∨ (¬p) is a tautology. Most statements are neither tautologies nor contradictions.

What does the principle of non contradiction say?

In logic, the law of non-contradiction (LNC) (also known as the law of contradiction, principle of non-contradiction (PNC), or the principle of contradiction) states that contradictory propositions cannot both be true in the same sense at the same time, e. g. the two propositions “A is B” and “A is not B” are mutually …

What is Aristotle’s law of non contradiction?

According to Aristotle, first philosophy, or metaphysics, deals with ontology and first principles, of which the principle (or law) of non-contradiction is the firmest. … According to Aristotle, the principle of non-contradiction is a principle of scientific inquiry, reasoning and communication that we cannot do without.

What is a contradict?

English Language Learners Definition of contradict : to say the opposite of (something that someone else has said) : to deny the truth of (something) : to deny or disagree with what is being said by (someone) : to not agree with (something) in a way that shows or suggests that it is false, wrong, etc.

Can contradictions be true?

Dialetheism (from Greek δι- di- ‘twice’ and ἀλήθεια alḗtheia ‘truth’) is the view that there are statements which are both true and false. More precisely, it is the belief that there can be a true statement whose negation is also true. Such statements are called “true contradictions”, dialetheia, or nondualisms.

What are examples of non contradiction?

The law of non-contradiction is a rule of logic. It states that if something is true, then the opposite of it is false. For example, if an animal is a cat, the same animal cannot be not a cat. Or, stated in logic, if +p, then not -p, +p cannot be -p at the same time and in the same sense.

What are the 3 laws of logic?

Laws of thought, traditionally, the three fundamental laws of logic: (1) the law of contradiction, (2) the law of excluded middle (or third), and (3) the principle of identity.

What is a paradoxical truth?

A paradox, also known as an antinomy, is a logically self-contradictory statement or a statement that runs contrary to one’s expectation. It is a statement that, despite apparently valid reasoning from true premises, leads to a seemingly self-contradictory or a logically unacceptable conclusion.

Is this statement is false a proposition?

If “this sentence is false” is true, then the sentence is false, but if the sentence states that it is false, and it is false, then it must be true, and so on. This is the classic example of Liar Paradox. It’s ill formed and hence logically incorrect. I think it’s NOT a proposition then.

How do you negate implications?

Negation of an Implication. The negation of an implication is a conjuction: ¬(P→Q) is logically equivalent to P∧¬Q. ¬ ( P → Q ) is logically equivalent to P ∧ ¬ Q .

What makes a statement true or false?

As such, a statement is an assertion that something is or is not the case. A statement is true if what it asserts is the case, and it is false if what it asserts is not the case.

Can anything be true and false at the same time?

Nothing can be both true and false at the same time – such an idea doesn’t even make sense.

How do you negate a statement?

Negation of “If A, then B”. To negate a statement of the form “If A, then B” we should replace it with the statement “A and Not B”.