The "counterexample method" - Deepstash

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The "counterexample method"

The "counterexample method"

While the premises may be true in an argument, the conclusion may or may not be correct, making the argument invalid. Example of an incorrect argument: Some New Yorkers are rude, some of them are artists, therefore some artists are rude.

A counterexample method is a powerful way to prove an argument’s conclusion to be invalid. You can use this method by: isolating the argument form and then constructing an argument with the same form that is obviously invalid.

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MORE IDEAS FROM THE SAME ARTICLE

The counterexample method is effective at exposing the invalidity of deductive arguments.

  1. Isolate the argument form in a simple, easy to digest form, like by replacing names with letters.
  2. Create an analogy, a counterexample that substitutes ...

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A false premise

... is a faulty assumption that becomes the basis of an argument and makes it logically unsound. For example, all birds can fly. Penguins can't fly. Therefore, penguins aren't birds. The premise that all birds can fly is false since some birds can't fly.

A...

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The belief bias

The belief bias is a cognitive bias that causes people to over-rely on preexisting beliefs and knowledge when evaluating the conclusions of an argument, instead of properly considering the argument’s content and structure.

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Premise 1: I can’t explain or imagine how proposition X can be true.

Premise 2: if a certain proposition is true, then I must be able to explain or imagine how that can be.

Conclusions: proposition X is false.

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