Follow your curiosity

What discovery has been shared with you?

FACTREE gives you something interesting to discover every day — and something worth talking about together.

Start with one fact. Explore it, go deeper, then follow whichever branch catches your imagination.

Choose subjects for a surprise

Exploring any topic

Begin your discovery

Your next discovery is one click away.

Choose one or more subjects above, or leave Any Topic selected and let curiosity decide.

Philosophy

The Logic of Vagueness and Supervaluationism

Quick fact

Supervaluationism, developed mainly by Bas van Fraassen and Kit Fine, treats a sentence like 'This is red' as true only if it is true under every acceptable way of making the vague term precise. This lets it avoid the sorites paradox while still preserving the law of excluded middle.

Why this is interesting

Have you ever wondered whether a person with 100 hairs is bald? What about 1,000? At what exact number does 'bald' become false? This puzzle of vague language seems to break classical logic—but supervaluationism finds a way out.