Informal LogicFallacies of Presumption and Weak Induction

False Dilemma

A false dilemma presents two options as the only ones when others exist.

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Another fallacy of presumption assumes there are fewer choices than there really are.

Key idea

A false dilemma presents two options as the only ones when others exist, then pushes you toward one by rejecting the other.

Why it works

An either-or argument is valid: if it is A or B, and not B, then it is A. So the whole weight rests on the either-or premise. If there is a third option, that premise is false, and the argument proves nothing.
Two options offered as the only two.

Worked example: Find the missing option

Coach: "Either we practice four hours a day, or we'll lose every game."
  1. Are those the only two possibilities?
  2. No: practicing a bit more, or practicing more wisely, are other choices.

Answer: False dilemma.

Worked example: A real either-or

"A whole number is either even or odd. 7 is not even, so it is odd."
  1. Is there a third option? No: every whole number is even or odd.
  2. With the either-or true, the step to "7 is odd" is good reasoning.

Answer: Not a fallacy.

When you meet an either-or, try to finish the sentence "Or we could…". If you can, the dilemma is false, and the argument needs a new premise that rules your option out.

Common mistake

Treating every either-or as a false dilemma. "The light is on or it is off" really covers the cases. The fallacy needs a missing option. Test: can you name a third choice?

Practice

Pass with 3 right answers, the last 2 in a row. Each right answer earns 1 XP.

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Sources and further reading

  • OpenStax Introduction to Philosophy, 5.5 Informal Fallacies
  • Internet Encyclopedia of Philosophy, "Fallacies"
  • Patrick Hurley, A Concise Introduction to Logic, chapter 3 (fallacies of weak induction and presumption)
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