Support Each of the candidates in this year's mayoral election is a small-business owner. ββββ ββββββββββββββ ββββββ βββ βββββββββ βββββββββ βββββββββ ββ βββββββββ βββββββ βββββ βββ ββββββ βββββββββ ββ ββ β ββββ ββββββ βββ ββββ ββ βββ ββββββββββ ββ ββββ ββββββ βββββββ ββββββββ ββββ βββ ββββββ βββββββββ ββ ββ β ββββ ββββββ
The premises in this argument create a conditional chain, as shown below. Because all candidates are small business-owners, and most small-business owners are competent managers, and all competent managers have the necessary skills, the author concludes that most candidates have the necessary skills.
This argument rests on a misunderstanding of the quantifier βmost.β Imagine there are 10 candidates for mayor, and there are 1,000 small-business owners. Letβs say 501 of the small-business owners are competent managers and therefore possess the necessary skills. That means there are 499 small-business owners who donβt possess the necessary skills. But remember, there are only 10 candidates for mayor! All 10 of those candidates could fall into the group of 499 small-business owners who lack the necessary skills.
Analysis by HollyShulman
The pattern of flawed reasoning ββ βββββ βββ ββ βββ βββββββββ ββ ββββ βββββββ ββ ββββ ββ βββ ββββββββ ββββββ
Anyone who has ββββββ ββ βββββ ββ ββββ βββββββ βββ ββββ ββ βββ ββ βββββ β βββββ ββββ ββ ββββ βββββββββ ββββββββββ βββ ββββββ ββ βββ βββββ βββββββββββ βββ βββββ ββ βββ βββ βββ ββββββ ββ βββ βββββ ββββββββββ βββ ββββ ββββ β ββββ βββββ ββ ββββββββββ ββββββββββ ββββ ββ ββββ βββββββββ βββββ ββββββββββ βββββββββββ ββββββββββ
Everything on the ββββ ββ βββββββ βββββ ββββ ββ βββββββββ ββββ ββββββββ βββββ βββ ββββββ βββ βββββββββββ βββ βββ ββββββββββ βββββ βββ ββββββ βββ βββ ββ βββββββββ ββββββ ββββ βββββ ββ βββ ββββ ββ βββββββ βββ βββ ββ βββββββββ
All the books ββ ββββ βββββββββ βββ βββββββββ ββββββ ββββ βββββββββ βββββ βββ ββββ ββββ βββ βββββ βββββ ββ βββ βββββ ββββ β ββββ ββββββ ββββ βββ βββββ ββ βββ ββββββββ ββ ββββ ββββ β ββββββ βββ ββ βββ βββββ ββββ βββ ββ βββ βββββ ββ βββ ββββββββ ββ ββββ ββββ β ββββββ
Each of the βββββββββββ βββββ ββ ββββ ββββββ ββββ ββββββββ ββ ββββ ββββ ββ ββββ βββββ ββββ βββββ ββββ ββββ ββ ββββ ββββ ββ βββ ββββββ ββββββββββββ βββββββββββ βββ βββββ ββ βββββ ββββ ββββ ββ ββββ ββββ βββ ββ βββββββββββββ ββ βββββββ ββββ ββββ ββ βββ ββββββ ββ ββββ ββββββ ββββ ββββββββ ββ βββ ββββ ββ βββββββββββββ
All of the βββββββ βββββββ ββββ ββ ββββ βββββ ββββ ββββ βββββββ ββ βββββ ββββ ββ βββ βββββββ βββββββ ββββ ββ ββββ βββββ ββββ ββββ ββββββ ββ βββββ βββ βββββ ββ βββββββ ββββ ββββ ββββββ ββ ββββ ββ βββ ββββ ββββ βββββββ ββ βββββ ββ βββββββ ββββ ββββ ββ βββ βββββββ ββ ββββ βββββ ββββ ββββ βββββββ ββ ββββ ββββ ββββββ ββ βββββ