Division fallacy:

Conceptual Fallacy

Definition	Example
When one claims that something true of an entire thing must also be true of all or some of its parts.	Because a brain possesses thoughts, and a brain is composed of neurons, therefore these neurons pass thoughts back and forth.
Also known as: distribution fallacy
Notes
This is the converse of the composition fallacy.

---

Case Study One

Were someone to argue “Canada’s GDP is 10% of the GDP of the U.S., so the average Canadian makes only 10% of what the average American makes”, they would be committing the division fallacy.

---

Case Study Two

If you were to suggest that, because 50% of Japanese believe in ghosts, the average Japanese is only half-certain that ghosts exist, you would be committing the division fallacy.

---

^{Keep in mind that a fallacious argument does not entail an erroneous position.}

---