#### Publication Date

1936

#### Abstract

As a basis of reference the assumptions and theorems of the Boole-Schröder system are given in full below. In general, the proofs of the theorems are not included, as they may be found in the treatise on the subject by these two men. However, in the case of a few of the theorems, new and original proofs were deemed to be of sufficient interest to be included here.

In the proofs which are included the following form has been used throughout. The page is divided into two columns, the logical steps of the proof appearing in the left column, and the corresponding justifications opposite them on the right. The latter are given by numbers which refer to the appropriate definition, axiom, or theorem.

#### Degree Name

Mathematics

#### Level of Degree

Masters

#### Department Name

Mathematics & Statistics

#### First Committee Member (Chair)

Carroll Vincent Newsom

#### Second Committee Member

Charles Anthony Barnhart

#### Third Committee Member

Hubert Griggs Alexander

#### Language

English

#### Document Type

Thesis

#### Recommended Citation

Childre, Madge. "Some Studies Upon Boolean-Schröder Algebra." (1936). https://digitalrepository.unm.edu/math_etds/102