fallacy.wiki

A field guide to the ways reasoning breaks

Broken structure

Existential fallacy

Also called Existential instantiation error

What it is

Concluding that something exists from premises that only describe a category conditionally.

In the wild

All unicorns are white, so some white things are unicorns.

How to answer it

Ask whether any member of the category has been shown to exist.

In depth

Origin and naming

A fallacy of the quantified syllogism: premises that only say every member of a class would have a property are read as proving that some member exists. Medieval logic assumed universal statements carried 'existential import'; Bertrand Russell's 1905 essay 'The Existential Import of Proposition' helped settle the modern, Boolean convention that they do not.

More places it shows up

  1. All unicorn sightings in the data are fake; therefore some fake sightings are unicorn sightings — the set may simply be empty.

  2. Every overdue invoice gets a penalty fee; therefore some invoices have penalty fees — says the report whose penalty table has zero rows.

  3. All prohibited items are confiscated at the gate; so some items were confiscated today — on a day nothing was prohibited from entering.

  4. All ghost sightings happen at night; therefore some nighttime events are ghost sightings — before establishing a single sighting exists.

How to spot it

  • Notice when the conclusion says 'some exist' while every premise only says 'all, if any'.
  • Notice when swapping the subject for something plainly fictional — dragons, unicorns — leaves the reasoning untouched.
  • Notice when a database query returns zero rows and the argument still proceeds as if it returned some.

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