Gottlob Frege grew up in a household where language was engineered: his father wrote grammar textbooks on the logical structure of German, and his mother later ran the family school. This episode follows him from a geometry PhD at Göttingen to the 1879 Begriffsschrift, where he replaced two thousand years of Aristotelian logic with quantified variables that could finally distinguish sentences like every boy loves some girl from some girl is loved by every boy.

The hosts then trace his multi-decade quest to prove logicism, the letter from Bertrand Russell in 1903 that exposed a fatal paradox in Basic Law V just as the second volume of his masterwork reached the printers, and the painfully honest appendix he wrote in response. They also cover his 1892 paper on sense and reference, his opposition to psychologism, his isolated personal life, and the 1924 diary discovered by Michael Dummett that revealed extreme anti-Semitic and anti-democratic views in the mind of logic’s great rationalist.

• Why nineteenth-century mathematics faced a quiet crisis of rigor and how intuition-based proofs left gaps for hidden assumptions
• How the problem of multiple generality broke Aristotle’s filing-cabinet logic and what Frege’s relational-database approach fixed
• How Russell’s set of all sets that do not contain themselves created an infinite loop of contradiction
• Why the morning star and the evening star show that meaning requires both a reference and a sense
• How Russell, Wittgenstein, and Carnap carried Frege’s work forward into the foundations of computer science