# The Principle of Explosion v. Reductio ad Absurdum?

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## What is the opposite of reductio ad absurdum?

Antonyms. prepared ready careful exempt fall short of stay in place unmake.

## What is reductio ad absurdum examples?

An example of reductio ad absurdum would be a an anti-Equal Rights advocate claiming that anyone in favor of an Equal Right Amendment must be in favor of killing babies. The reductio ad absurdum fallacy is similar to the straw person fallacy.

## What is the law of explosion?

In classical logic, intuitionistic logic and similar logical systems, the principle of explosion, or the principle of Pseudo-Scotus, is the law according to which any statement can be proven from a contradiction.

## What does reductio ad absurdum do?

Reductio ad absurdum is a mode of argumentation that seeks to establish a contention by deriving an absurdity from its denial, thus arguing that a thesis must be accepted because its rejection would be untenable.

There is in mathematics a powerful method of proof known as “reductio ad absurdum” (Latin phrase: “reducing to absurdity”) or commonly referred to as “proof by contradiction”. Its reasoning is based on the fact that given a mathemati- cal statement S, either S is true or else not-S (negation of S) is true.

## What does reductio ad absurdum meaning in English?

1 : disproof of a proposition by showing an absurdity to which it leads when carried to its logical conclusion. 2 : the carrying of something to an absurd extreme.

## Is the principle of explosion valid?

The proof of this principle was first given by 12th-century French philosopher William of Soissons. Due to the principle of explosion, the existence of a contradiction (inconsistency) in a formal axiomatic system is disastrous; since any statement can be proven, it trivializes the concepts of truth and falsity.

## What is explosion in short?

Definition of explosion

1 : the act or an instance of exploding injured in a laboratory explosion. 2 : a large-scale, rapid, or spectacular expansion or bursting out or forth the explosion of suburbia an explosion of red hair. 3 : the release of occluded breath that occurs in one kind of articulation of stop consonants.

## What is principle of non contradiction in philosophy?

According to Aristotle, the principle of non-contradiction is a principle of scientific inquiry, reasoning and communication that we cannot do without. Aristotle’s main and most famous discussion of the principle of non-contradiction occurs in Metaphysics IV (Gamma) 3–6, especially 4.

## What is the proof by reduction to absurdity?

Reductio ad absurdum is a Latin phrase which means “reduction to the absurd”. The phrase describes a kind of indirect proof. It is a proof by contradiction, and is a common form of argument. It shows that a statement is true because its denial leads to a contradiction, or a false or absurd result.