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Farkas Bolyai was interested in the foundations of geometry and the parallel axiom. He corresponded with Gauss on the topic most of his life. His main work, the Tentamen , was an attempt at a rigorous and systematic foundation of geometry, arithmetic, algebra and analysis.
His attempts to stop his son studying the parallel axiom fortunately failed! Farkas Bolyai wrote to his son Detest it as lewd intercourse, it can deprive you of all your leisure, your health, your rest, and the whole happiness of your life. When Farkas Bolyai despaired of the parallel postulate, he wrote poetry, music and drama.
References (11 books/articles)
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Tell me about Farkas Bolyai's work on non-Euclidean geometry