Fallacy · Slippery words and shapes
Composition and division
Also called: Whole and parts
Assuming what is true of the parts is true of the whole, or what is true of the whole is true of each part.
What it is
A team of star players can still play badly together (composition). A rich country can still have poor citizens (division). Wholes and parts often share properties, but not always, so it has to be shown, not assumed.
An example
“Every member of the committee is clever, so the committee will make clever decisions.” Clever people can still produce a muddled group decision.
How to spot it
A property jumps from parts to whole, or from whole to parts, with no reason why it should carry over.
How to answer it
“Does that property actually pass from the members to the group?”
When it is not a fallacy
Some properties do transfer: if every brick is red, the wall is red. The question is whether this one does.
Printable sheet of all fallacies
Cite or share this page
A plain reference you can paste into notes or an essay:
Quest2Reason. “Composition and division.” https://quest2reason.com/learn/ideas/fallacies/composition-division. Accessed 13 November 2026.