Hello Everyone,
Informal fallacies have to do with our use and understanding of language, namely the ues of inferance.
Formal fallacies on the other hand are more mathematical in their approach, i.e., if A+B then C.
Andrew, I would say that formal fallicies are mistakes in the form of the argument. That is to say, they have to do with the shape of the argument irrespective of the meaning of the premises. For example, here is an argument that would be considered valid…
Premise 1: If it rains, then I will get wet.
Premise 2: It rains.
Conclusion: I will get wet.
This argument is formally referred to as Modus Ponens. Here is the form of the argument…
Premise 1: If A, then B.
Premise 2: A.
Conclusion: B.
Notice, ‘A’ and ‘B’ can stand for any proposition and this remains a valid argument. Why? Because the form is correct. It is formally valid. Now, consider the following argument…
Premise 1: If it rains, then I will get wet.
Premise 2: I will get wet.
Conclusion: It rains.
This argument has the following form…
Premise 1: If A, then B.
Premise 2: B.
Conclusion: A.
This argument is not formally valid. It is an invalid argument, and would be considered a formal fallacy (asserting the antecedent). Why? Because it is not the right form. Notice, what ‘A’ and ‘B’ mean does not play a part.
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With that said, informal fallacies are fallacies of a different sort, and their nature is not so easy to pin down. They are fallacies where the meaning of ‘A’ and ‘B’ may play a part - they deal more with the content of what is said. They deal with such issues as semantics and induction. I find it easier to study the different arguments that are considered informal fallacies than it is to try to come up with a single definition capturing all informal fallacies.
So, are fallacies of informal fallacies a matter of undistributed middles?
When I speak of the “fallacy of informal fallacies” I am just playing a word game. Informal fallacies are legitimate fallacies. My only point was to provide an argument that might be technically considered an informal fallacy that at the same time would be considered by most a reasonable argument (from a practical or psychological point of view). In other words, the conclusion that the little boy who cried wolf should be ignored is a reasonable conclusion given the boy’s past behavior even though someone might argue that the conclusion commits an informal fallacy.
Brian