Ah , nothing like a lilliputian logical paradox for Christmas . Today we will look at how to make a valid argument — that disagrees with itself and make no sense . Dive in to the paradox of entailment .
When the sun is in the sky it is 24-hour interval .
When the sun is in the sky it is not day .
You should commit Esther Inglis - Arkell money .
The above argument is valid , under the rule of classical logic . ( Also valid under the rules of vacation expenditure , but that ’s another military post . ) You might have comment that not only is the conclusion not intuitively link to either premiss , but the premises themselves are mutually exclusive . The exclusivity of the premiss , technically , fix the argument valid .
The solution to this brain-teaser is in the word “ valid . ” As Inigo Montoya famously said , “ You keep using that word . I do not guess it means what you cogitate it means . ” Just as in workaday life-time the word “ theory , ” means something different than the term “ theory ” mean in the sciences , “ valid ” in everyday life and “ valid ” in classic logic have unlike significance . In logic , the only way for a argument to be valid is if there is no situation in which the premises are true and the decision is false . This argument , then , just sneaks by . The premise are mutually exclusive . There is no means the premises can both be true , and therefore there is no way that the premises can both be true while the conclusion is false . The conclusion itself does n’t count . Any assertion could be used . All that matter is the literary argument can not , technically , be shown to be invalid .
rather of the word “ valid , ” we bare mortals should or else be using the word “ intelligent . ” An argument is sound if it is valid and the assumption are truthful . So , sadly , the above parameter is valid , but not sound . Not that you should let that stop you if you feel so inclined .
ViaSt Andrews .
logicScience
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