Quote: a line is a sequence of elements such that each cannot be distinguished from its predecessor

Quotation

Let us call one of these aggregates of sensations an element [e.g., a measured weight]. It will be in a measure analogous to the point of the mathematicians, but will not be however, the same thing. ... a system of elements will form a continuum, if we can pass from any one to another by a series of consecutive elements such that each cannot be distinguished from its predecessor. This linear series is to the line of the mathematician what the isolated element was to the point.   Google-1   Google-2

Published before 1923

Related Topics

Topic: continuum in mathematics (7 items)
Topic: elements (18 items)