Conditional statement (logic): Difference between revisions

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Examples of conditional statements include:
 
#* If I am running, then my legs are moving.
#* If a person makes lots of jokes, then the person is funny.
#* If the Sun is out, then it is midnight.
#* If you locked your car keys in your car, then 7 + 6 = 2.
 
{{quotation|The truth-functional theory of the conditional was integral to [[Gottlob Frege|Frege]]'s new logic (1879). It was taken up enthusiastically by [[Bertrand Russell|Russell]] (who called it "[[material implication]]"), [[Ludwig Wittgenstein|Wittgenstein]] in the ''[[Tractatus]]'', and the [[logical positivist]]s, and it is now found in every logic text. It is the first theory of conditionals which students encounter. Typically, it does not strike students as ''obviously'' correct. It is logic's first surprise. Yet, as the textbooks testify, it does a creditable job in many circumstances. And it has many defenders. It is a strikingly simple theory: "If ''A'', ''B''" is false when ''A'' is true and ''B'' is false. In all other cases, "If ''A'', ''B''" is true. It is thus equivalent to "~(''A''&~''B'')" and to "~''A'' or ''B''". "''A'' ⊃ ''B''" has, by stipulation, these truth conditions.|[[Dorothy Edgington]]|The Stanford Encyclopedia of Philosophy|“Conditionals”<ref name="sep-conditionals"/>}}