fallacy.wiki

A field guide to the ways reasoning breaks

Broken structure

Undistributed middle

Also called Shared trait fallacy

In depth

Origin and naming

Latin: non distributio medii — 'the middle is not distributed.' In a categorical syllogism the middle term is the hinge that links the two premises; if neither premise applies it to all of its class, the two halves of the argument may be touching different members of that class and never actually meet. Classified by Aristotle in the Prior Analytics and catalogued as a syllogistic fallacy ever since.

More places it shows up

  1. All committed employees answer late-night messages; Sam answers late-night messages; so Sam is committed.

  2. Every toxic manager reduces team output; this team has low output; so their manager is toxic.

  3. All great chefs love their work; he loves his work; so he's a great chef.

  4. Every successful startup raised venture capital; this startup raised venture capital; so it will succeed.

How to spot it

  • Notice when the two halves of the argument both point at the same trait but each could be looking at a different group.
  • Notice when the conclusion pins one person to a category via a property that half the world shares.
  • Notice when the premises say 'all As have trait T' and 'this has trait T' — and the conclusion forgets other things have T too.

Read more