chapter  12
Summation methods and Lebesgue nonmeasurable functions
ByGilbert W. Bassett Jr., Roger Koenker
Pages 14

From a naive point of view, all mathematics can be considered as an intriguing interplay between finite and infinite collections of objects or, if one prefers, between various discrete and continuous structures. During the long-term history of human civilization, a lot of thrilling contrasts were discovered concerning discrete and continuous entities, which afterwards have been realized in well-known paradoxes or antinomies. One might say that the progress of mathematical sciences was (and still remains) heavily dependent on successful decisions or reasonable explanations of paradoxes of such a kind.