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Bringing together the histories of mathematics, computer science, and linguistic thought, 'Language and the Rise of the Algorithm' reveals how recent developments in artificial intelligence are reopening an issue that troubled mathematicians well before the computer age - how do you draw the line between computational rules and the complexities of making systems comprehensible to people? By attending to this question, we come to see that the modern idea of the algorithm is implicated in a long history of attempts to maintain a disciplinary boundary separating technical knowledge from the languages people speak day to day.

Semantics. --- intellectual history, history of mathematics, algorithms, Gottfried Wilhelm Leibniz, Nicolas de Condorcet, George Boole, programming languages, machine learning. --- Semiotics --- Computer science --- Artificial intelligence. Robotics. Simulation. Graphics --- Mathematical linguistics --- Algorithms --- Formal languages --- Mathematical notation --- Language and languages --- Computer programming --- History. --- Philosophy.