Logistic regression can be binomial, ordinal or multinomial. These variables could be dichotomous, ordinal or nominal variables. The cardinality of any infinite ordinal number is an aleph number. Examples of ordinal regression are ordered logit and ordered probit. The classification is in terms of countable ordinal numbers. Every aleph is the cardinality of some ordinal. The cardinal and ordinal arithmetic are reviewed. For finite sets, both ordinal and cardinal numbers are identified with the natural numbers. Cantor then defines the addition and multiplication of the cardinal and ordinal numbers. Jevons did not explicitly distinguish between the concepts of ordinal and cardinal utility. The aleph numbers are indexed by ordinal numbers. In set theory, there are exponential operations for cardinal and ordinal numbers. This violates the axiom of transitivity for the ordinal scale. Writing of ordinal numerals is similar to most European languages. The Mohs scale is a purely ordinal scale.