Quote: order the inductive numbers by: m<n if n possesses every hereditary property possessed by the successor of m

Quotation

An inductive number m is said to be less than another number n when n possesses every hereditary property possessed by the successor of m. It is ... not difficult to prove, that ... "less than" ... is asymmetrical, transitive, and connected, and has the inductive numbers for its field. Thus by means of this relation the inductive numbers acquire an order   Google-1   Google-2

Published before 1923

Related Topics

Topic: logic (84 items)
Group: mathematics   (23 topics, 554 quotes)