Abstract
In two experiments, students of a course on philosophy of mathematics learned about von Neumann's ordinals. The students were tested on the relative development of their left and right cerebral hemispheres. Learning the concept of limit ordinal was found to be related to an inhibition of the right cerebral hemisphere by the left one. This result is related to similar phenomena regarding the learning of diagonal processes, paradoxes, compactness theorems about the existence of nonstandard numbers, and the concept of external sets. A cognitive model for the creation of the ordinal concept is introduced. This model is related to a multistage model for the functioning of the brain's hemispheres.
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