"This sentence is false." More ink has been spilled over the meaning of these four words than almost any other paradox in the history of philosophy. Why? What makes the Liar's loopy reasoning more than just a party trick? How does the Liar challenge basic laws of logic and the meaning of truth? To understand the problems the Liar poses, we need to dive into its structure. What makes the Liar tick? Is it self-reference? What does it share with related paradoxes, like Russell's paradox and the truth-teller paradox? What do the phenomena of "strengthened liars" and "circular liars" tell us about what's at stake with this family of paradoxes?
Next week: Intro to the Liar, Part 2: Structure
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Special thanks for Jackie Blum for the podcast art, and The Tin Box for the theme music.