---
tag: AJ2FDJJGTH
kind: concept
name: All horses are the same color
aliases: [all-horses-are-the-same-colour, equine-monochromaticity-theorem, horse-paradox]
sources:
  - wikipedia: en:151912@r1369976011
    locator: All horses are the same color
    note: adopted
    mention: wikipedia://en/151912
    sections: [Summary]
same_as:
  wikidata: Q1091396
  wikipedia: All horses are the same color
inventory: [VJPD9EGWGZ]
---

## Summary

**All horses are the same color** is a paradox that arises from a flawed use of [[mathematical induction|0ASJVEFA9J]] to prove the statement *All horses are the same color*. There is no actual contradiction, as these arguments have a crucial flaw that makes them incorrect. This example was originally raised by George Pólya in a 1954 book in different terms: "Are any $n$ numbers equal?" or "Any $n$ girls have eyes of the same color", as an exercise in mathematical induction. It has also been restated as "All cows have the same color".