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by: Carly Ott

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# Counter Example Method 4482

Marketplace > Washington State University > 4482 > Counter Example Method
Carly Ott
UW
GPA 3.89
elementary logic
Nathaniel Nicol

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More notes taken from week 3. This method is a way to help prove an argument is invalid.
COURSE
elementary logic
PROF.
Nathaniel Nicol
TYPE
Class Notes
PAGES
1
WORDS
KARMA
25 ?

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This 1 page Class Notes was uploaded by Carly Ott on Tuesday February 10, 2015. The Class Notes belongs to 4482 at Washington State University taught by Nathaniel Nicol in Winter2015. Since its upload, it has received 53 views.

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Date Created: 02/10/15
Chapter 15 Counter Example Method Counter Example Method There are 3 steps to the method 1 Extract the form of the argument 2 Construct a substitution instance having true premises but a false conclusion 3 This proves that the argument is invalid 0 To sum the steps up you extract the form of the argument and substitute other words that could prove the form of the argument false showing the argument is invalid because it would have true premises but a false conclusion 0 Some examples Ex All mean are human beings All women are human beings So all men are women The form is AllAare B All C are B So all A are C Ex No unicorns are immortal creatures No centaurs are immortal creatures So no unicorns are centaurs The form is No U arel NoCareI No U are C 0 When substituting use easysimple words that go into easy categories animals flowers etc Let s substitute instances A cat B animals and C dogs So All cats are animals T All dogs are animals T All cats are dogs F This has true premises but a false conclusion So we proved this argument is INVALID Let s substitute instances U cats I lizards C mammals No cats are lizards T No mammals are lizards T No cats are mammals F This has true premises but a false conclusion So we proved this argument is INVALID

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