Volume 1 / Part 4 — *186. POWERS OF RELATION-NUMBERS.
Reading edition
*186. POWERS OF RELATION-NUMBERS.
Summary of *186.
For " to the th power," where ordinal powers are concerned, we use the notation "." We cannot use "" or "" because these have been already used for cardinals and classes (*116). We therefore put a suffix to "" to show that it is relational powers that we are dealing with. We put
The following are the principal propositions of this number:
*186·2.
We do not have , because there is no ordinal 1.
*186·21.
*186·22.
*186·23.
*186·14.
*186·15.
*186·31.
which connects exponentiation with multiplication.
*186·4. (cf.*177)
*186·5.
which connects ordinal and cardinal exponentiation.
*186·01.
*186·02.
*186·03.
*186·1.
*186·11.
*186·111.
*186·12.
*186·13.
*186·14.
Dem.
*186·15.
Dem.
*186·2.
*186·21.
Dem.
*186·22.
Dem.
*186·23.
*186·3.
*186·31.
*186·4.
*186·5.
Dem.