Spectral sequence: Difference between revisions

Revision as of 20:03, 17 February 2014

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-An '''antecedent''' is the first half of a [[hypothetical]] [[proposition]].
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-Examples:
-* If '''P''', then '''Q'''.
-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>
-* 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==
-* [[Denying the antecedent]] (fallacy)
-* [[Necessity and sufficiency]]
-==References==
-<references />
-{{DEFAULTSORT:Antecedent (Logic)}}
-[[Category:Conditionals]]
-{{Logic-stub}}

Spectral sequence: Difference between revisions

Revision as of 20:03, 17 February 2014

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