The Wilderness of the Infinite: Robert Grosseteste, William of Auvergne, and Mat

Within the span of twenty years (1220-1240), Robert Grosseteste and William of Auvergne countenanced the actual infinite and presented very original views on the possibility of comparing infinities. Until his proposal, no one in Western culture had operated with infinite ‘s proposal led to debates on what criteria one should use whenassigning ‘sizes’ to infinite collections with one-to-one correspondence being proposed as a challenge to the part-whole intuition defended by Grosseteste.