What is a self-contradiction in logic?

Self-contradiction (self contradictory statement) a statement which is necessarily false on the basis of its logical structure. One can also say that a statement is necessarily true if its denial is logically self contradictory, i.e. necessarily false.

Which of the following is an example of a self-contradiction?

The definition of a self-contradiction is the act of someone or something conflicting or going against itself. An example of a self-contradiction is an atheist wearing a cross. The act, state, or fact of contradicting oneself.

What is a self contradictory statement?

adjective. If you say or write something that is self-contradictory, you make two statements which cannot both be true. He is notorious for making unexpected, often self-contradictory, comments.

What is a self contradiction in a truth table?

The opposite of a tautology is a contradiction, a formula which is “always false”. In other words, a contradiction is false for every assignment of truth values to its simple components. Example.

What logical fallacy is contradiction?

A self-contradiction fallacy is a statement from which no coherent conclusion can be drawn because the statement seems to contradict itself. Statements like this cannot be true, because to affirm one conclusion drawn from the sentence would by necessity refute another conclusion.

What is an example of contradictory?

A contradictory statement is one that says two things that cannot both be true. An example: My sister is jealous of me because I’m an only child. Contradictory is related to the verb contradict, which means to say or do the opposite, and contrary, which means to take an opposite view.

How do you write a contradiction sentence?

No one was surprised by the defendant’s contradiction of the plaintiff’s accusations. Her rebuttal contained many contradictions to my arguments. There have been some contradictions in his statements. There is a contradiction between what he said yesterday and what he said today.

Is contradiction a logical fallacy?

Contradictory premises involve an argument (generally considered a logical fallacy) that draws a conclusion from inconsistent or incompatible premises. Essentially, a proposition is contradictory when it asserts and denies the same thing.

Is tautology a self contradiction?

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”. In other words, a contradiction is false for every assignment of truth values to its simple components. Therefore, the formula is a tautology.

When is a statement called a self contradiction?

A self contradiction occurs when there is a statement p such that both p and not p hold. p and not p A statement, or a set of statements, is called self contradictory iff (*) it entails a self contradiction. s => p and not p

What is the definition of a logical contradiction?

A logical contradiction is the conjunction of a statement S and its denial not-S. In logic, it is a fundamental law- the law of non contradiction- that a statement and its denial cannot both be true at the same time.

When does a predicate Q become self contradictory?

A predicate Q, or a description “the Q”, are called self contradictory iff any attempt to use them will entail a self contradiction. This is the sense in which “the set of all sets” has been proved to be self contradictory.

How is a set of all sets self contradictory?

There are set theories in which there exists a set that contains every set as an element. Self contradictory is something that contradicts its own self. A set of all sets is self contradictory because a set cannot contain its own self normally, so it cannot contain “all sets”.