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We find ourselves on the brink of a decision, a decision to break with the arcana of the one and the multiple in which philosophy is born and buried, phoenix of its own sophistic consumption.
Alain Badiou
Based on the metaphysical implications of the Dadaist dogma.... Arp's Reliefs [carvings] between 1916 and 1922 are among the most convincing illustrations of that anti- rationalistic era... Arp showed the importance of a smile to combat the sophistic theories of the moment. His poems of the same period stripped the word of its rational connotation to attain the most unexpected meaning through alliteration or plain nonsense.
Marcel Duchamp
The Ars Magna is a great advance on any algebra previously published. Hitherto algebraists had confined their attention to those roots of equations which were positive. Cardan discussed negative and even complex roots, and proved that the latter would always occur in pairs, though he declined to commit himself to any explanation as to the meaning of these "sophistic" quantities which he said were ingenious though useless.
Gerolamo Cardano