# Proof

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A '''proof''' is an [[argument]] that purports to demonstrate the [[truth]] of a given statement, or proposition. If the argument rests upon true [[premise]]s, it is called [[logically sound]]. If it is based on absolutely [[reliable]] steps (that is, transformations of the premises using the [[laws of logic]]) it is called [[logically valid]]. | A '''proof''' is an [[argument]] that purports to demonstrate the [[truth]] of a given statement, or proposition. If the argument rests upon true [[premise]]s, it is called [[logically sound]]. If it is based on absolutely [[reliable]] steps (that is, transformations of the premises using the [[laws of logic]]) it is called [[logically valid]]. | ||

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+ | Ideas about how rigorous a proof must be has varied through history and will still vary quite a bit today depending on the subject matter under consideration. A [[wikipedia:mathematical proof|mathematical proof]] will necessarily be more rigorous than, say, a "proof" of the correctness of [[Wikipedia:Libertarianism|libertarian]] ideals. | ||

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+ | ==Apologetics== | ||

+ | Many [[arguments for the existence of God]] take the form of a proof, but all fall short for one reason or another. Some have false or [[verifiable|nonverifiable]] premises, others invalid reasoning. | ||

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+ | ==See also== | ||

+ | * [[Therefore God exists]] | ||

[[Category:Logic]] | [[Category:Logic]] |

## Revision as of 15:33, 14 March 2011

A **proof** is an argument that purports to demonstrate the truth of a given statement, or proposition. If the argument rests upon true premises, it is called logically sound. If it is based on absolutely reliable steps (that is, transformations of the premises using the laws of logic) it is called logically valid.

Ideas about how rigorous a proof must be has varied through history and will still vary quite a bit today depending on the subject matter under consideration. A mathematical proof will necessarily be more rigorous than, say, a "proof" of the correctness of libertarian ideals.

## Apologetics

Many arguments for the existence of God take the form of a proof, but all fall short for one reason or another. Some have false or nonverifiable premises, others invalid reasoning.