In the "little theories" version of the axiomatic method, different portions of mathematics are developed in various different formal axiomatic theories. Axiomatic theor...
William M. Farmer, Joshua D. Guttman, F. Javier Th...
In 1931 and 1935, Ernst Adolph Guillemin, professor of electrical engineering at Masachusetts Institute of Technology (MIT), published the two volumes of his book “Communication...
Simple type theory, also known as higher-order logic, is a natural extension of first-order logic which is simple, elegant, highly expressive, and practical. This paper surveys th...
The central topic of this work is the categories of modules over unital quantales. The main categorical properties are established and a special class of operators, called Q-module...
Hilbert’s concept of formal proof is an ideal of rigour for mathematics which has important applications in mathematical logic, but seems irrelevant for the practice of mathemati...