Question: Is A Contradiction Always True?

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 is Aristotle’s law of Noncontradiction?

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 does Paradox mean?

noun. a statement or proposition that seems self-contradictory or absurd but in reality expresses a possible truth. a self-contradictory and false proposition. any person, thing, or situation exhibiting an apparently contradictory nature. an opinion or statement contrary to commonly accepted opinion.

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 tautology bad?

A tautology is an expression or phrase that says the same thing twice, just in a different way. For this reason, a tautology is usually undesirable, as it can make you sound wordier than you need to be, and make you appear foolish.

What is the opposite of a tautology?

Tautology refers to a redundant use of language, “too many words”. The opposite of that would presumably be “not enough words”, excessive concision, terseness, insufficiency, curtness. 3. Contradiction refers to something going against something else.

What does it mean if you contradict yourself?

: 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.

Is a tautology always true?

A tautology is a formula which is “always true” — that is, it is true for every assignment of truth values to its simple components. You can think of a tautology as a rule of logic. The opposite of a tautology is a contradiction, a formula which is “always false”.

Can two contradictory statements be true?

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

What is an example of a contradiction?

A contradiction is a situation or ideas in opposition to one another. Declaring publicly that you are an environmentalist but never remembering to take out the recycling is an example of a contradiction. A “contradiction in terms” is a common phrase used to describe a statement that contains opposing ideas.

What is the most famous paradox?

Russell’s ParadoxRussell’s paradox is the most famous of the logical or set-theoretical paradoxes. Also known as the Russell-Zermelo paradox, the paradox arises within naïve set theory by considering the set of all sets that are not members of themselves.

What is a beautiful paradox?

This is the “beauty paradox” that women leaders face. They know that beauty matters, but are unsure of how much attention they should pay to their looks, says Vivian Diller, a psychologist and author of the book “Face It: What Women Really Feel as Their Looks Change and What to Do about It.”

What is the simplest contradiction?

Similarly, a proposition which is false independently of the truth or falsity of the atomic propositions from which it is composed is known as a contradiction. The simplest example of this would be (p ∧ ¬p).

Can anything be true and false at the same time?

If the statement is a truth, then it is also false, making it both at the same time. But if it is a falsity, is is also a truth.

What is a self contradictory statement called?

Another word for a self-contradictory statement is oxymoron.

What makes something true or false?

In everyday language, truth is typically ascribed to things that aim to represent reality or otherwise correspond to it, such as beliefs, propositions, and declarative sentences. Truth is usually held to be the opposite of falsity.

What is the Einstein rock paradox?

In a 1935 paper, Einstein, Boris Podolsky and Nathan Rosen introduced a thought experiment to argue that quantum mechanics was not a complete physical theory. Known today as the “EPR paradox,” the thought experiment was meant to demonstrate the innate conceptual difficulties of quantum theory.

What is the meaning of contradictions?

noun. the act of contradicting; gainsaying or opposition. assertion of the contrary or opposite; denial. a statement or proposition that contradicts or denies another or itself and is logically incongruous. direct opposition between things compared; inconsistency.

What is a true paradox?

It is a statement that, despite apparently valid reasoning from true premises, leads to a seemingly self-contradictory or a logically unacceptable conclusion. A paradox usually involves contradictory-yet-interrelated elements that exist simultaneously and persist over time.

What does it mean for a statement to be true?

Noun. 1. true statement – a true statement; “he told the truth”; “he thought of answering with the truth but he knew they wouldn’t believe it” truth.

Is tautology a fallacy?

A tautology in math (and logic) is a compound statement (premise and conclusion) that always produces truth. No matter what the individual parts are, the result is a true statement; a tautology is always true. The opposite of a tautology is a contradiction or a fallacy, which is “always false”.