Construction
Surreal numbers are constructed inductively as equivalence classes of pairs of sets of surreal numbers, restricted by the condition that each element of the first set is smaller than each element of the second set. The construction consists of three interdependent parts: the construction rule, the comparison rule and the equivalence rule.
Read more about this topic: Surreal Number
Famous quotes containing the word construction:
“Theres no art
To find the minds construction in the face.”
—William Shakespeare (15641616)
“There is, I think, no point in the philosophy of progressive education which is sounder than its emphasis upon the importance of the participation of the learner in the formation of the purposes which direct his activities in the learning process, just as there is no defect in traditional education greater than its failure to secure the active cooperation of the pupil in construction of the purposes involved in his studying.”
—John Dewey (18591952)
“Theres no art
To find the minds construction in the face:
He was a gentleman on whom I built
An absolute trust.”
—William Shakespeare (15641616)