The statement "'yields falsehood when preceded by its quotation' yields falsehood when preceded by its quotation" is false. In other words, the sentence implies that it is false, which is paradoxical—for if it is false, what it states is in fact true.

What is a philosophical paradox?

A paradox is a persuasive argument that something, which we judge must be false, is true. ... Paradoxes are valuable in philosophy because they help us become aware of forms of argument that are deceptively convincing yet logically fallacious.

What is the most famous paradox?

Russell's paradox is the most famous of the logical or set-theoretical paradoxes. Also known as the Russell-Zermelo paradox, the paradox arises within naïve set theory by considering the set of all sets that are not members of themselves.