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| | An '''antecedent''' is the first half of a [[hypothetical]] [[proposition]]. |
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| | Examples: |
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| | * If '''P''', then '''Q'''. |
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| | This is a nonlogical formulation of a hypothetical proposition. In this case, the antecedent is '''P''', and the [[consequent]] is '''Q'''. In an [[material conditional|implication]], if <math>\phi</math> implies <math>\psi</math> then <math>\phi</math> is called the '''antecedent''' and <math>\psi</math> is called the [[consequent]].<ref>Sets, Functions and Logic - An Introduction to Abstract Mathematics, Keith Devlin, Chapman & Hall/CRC Mathematics, 3rd ed., 2004</ref> |
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| | * If X is a man, then X is mortal. |
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| | "X is a man" is the antecedent for this proposition. |
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| | * If men have walked on the moon, then I am the king of France. |
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| | Here, "men have walked on the moon" is the antecedent. |
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| | ==See also== |
| | * [[Denying the antecedent]] (fallacy) |
| | * [[Necessity and sufficiency]] |
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| | ==References== |
| | <references /> |
| | |
| | {{DEFAULTSORT:Antecedent (Logic)}} |
| | [[Category:Conditionals]] |
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| | {{Logic-stub}} |
An antecedent is the first half of a hypothetical proposition.
Examples:
This is a nonlogical formulation of a hypothetical proposition. In this case, the antecedent is P, and the consequent is Q. In an implication, if implies then is called the antecedent and is called the consequent.[1]
- If X is a man, then X is mortal.
"X is a man" is the antecedent for this proposition.
- If men have walked on the moon, then I am the king of France.
Here, "men have walked on the moon" is the antecedent.
See also
References
- ↑ Sets, Functions and Logic - An Introduction to Abstract Mathematics, Keith Devlin, Chapman & Hall/CRC Mathematics, 3rd ed., 2004
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