Can Contradictions Be True?

What is the paradox?

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..

What do you call a person who contradicts himself?

A hypocrite. Cambridge[1] dictionary defines ‘hypocrite’ as, “someone who says that they have particular moral beliefs but behaves in a way that shows these are not sincere” An example[2] of a hypocrite is a person who says they care about the environment, but are constantly littering.

What are examples of non contradictions?

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.

Is a contradiction always true?

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 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 the opposite of logic?

logical(adj) capable of or reflecting the capability for correct and valid reasoning. “a logical mind” Antonyms: illogical, irrational, nonrational, absurd, inconsequential, intuitive, invalid, unlogical, visceral.

What are the 4 types of reasoning?

These are the four types of reasoning.Deductive Reasoning.Inductive Reasoning.Critical Thinking.Intution.

Can two contradictory statements be true?

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

What does it mean when someone contradicts themselves?

: to say or do something that is opposite or very different in meaning to something else that one said or did earlier The witness contradicted herself when she insisted she could identify the thief even though she had said that the night was too foggy to see clearly.

What is the law of identity in logic?

In logic, the law of identity states that each thing is identical with itself. It is the first of the three laws of thought, along with the law of noncontradiction, and the law of excluded middle. … In logical discourse, violations of the law of identity result in the informal logical fallacy known as equivocation.

Where do the laws of logic come from?

It follows that the laws of logic(s) are not discovered – they are more in the nature of artifacts than excavations. Of course they are not created arbitrarily, they are rooted in natural languages, which are the fount of all meaning (worth the name).

What does the law of Noncontradiction mean?

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 …

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 anything be true and false at the same time?

If the sentence is true, it would be false. But if it is false, it cannot be true. If the sentence is false, it is true. … Well, actually NO, you can’t have anything that is distinctly true and false at the same time, not if by that you mean a statement that has two distinct truth values at the same time.

What is the law of exclusion?

In logic, the law of excluded middle (or the principle of excluded middle) states that for any proposition, either that proposition is true or its negation is true. … Another Latin designation for this law is tertium non datur: “no third [possibility] is given”.

How do you prove Contrapositive?

In mathematics, proof by contrapositive, or proof by contraposition, is a rule of inference used in proofs, where one infers a conditional statement from its contrapositive. In other words, the conclusion “if A, then B” is inferred by constructing a proof of the claim “if not B, then not A” instead.

Who invented the laws of logic?

AristotleThere are three laws upon which all logic is based, and they’re attributed to Aristotle. These laws are the law of identity, law of non-contradiction, and law of the excluded middle.

Can contradictions exist?

Contradictions exist as a matter of objective reality. … except it is the infinite spiral to the source of what allows him to do so in the first place that allows him to transcend his own transcendence & exist within both cognitive positions.