Date of Award
Master's Essay - Restricted
Master of Science (MS)
Mathematical and Statistical Sciences
The object of this monograph is to establish a point system on a line that is continuous. This requires, first of all, that the set of all points on a line on which a scale has been established, and from which the point P, is excluded, form a field with respect to the operations of addition and multiplication, where the operations addition and multiplication are defined. This is the rational field on a line. To make the point system on a line continuous it is necessary to introduce the "irrational points" ; this is done by the assumption of continuity.
Brunner, Vincent F., "The Introduction of Continuity in Projective Geometry" (1950). Master's Essays (1922 - ). 427.