Posted by: Alexandre Borovik | June 9, 2021

A white horse is not a horse

My attention was brought to this two millennia old paradox:

Horse can be black.

White horse cannot be black.

So white horse not horse.

See Wikipedia,  When a white horse is not a horse for a discussion.

This paradox is of interest to me because I started to think that one of the reasons of collapse of the New Math reforms in the 1960s and 1970s was introduction of sets and not predicates;  in my view, children appear to be more perceptive to the concept of unary predicate, or property. Properties are closely related to sets, but they are not sets. I was unaware that the universe of properties also has its share of paradoxes.


  1. Is that it? Where is the rest of the article Alexandre? I would like to read more.

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