Auletta G. Mechanical Logic in Three-Dimensional Space

CRC Press, Taylor & Francis Group, 2013. VII, 392 p. — ISBN13: 978-981-4411-51-6 (eBook - PDF).The book explores how build a mechanical inferences by making use of arithmetic operations on a string of numbers representing statements. In this way logic is reduced to a branch of the combinatory calculus. It covers the field of traditional logic by showing that any kind of inference can be mechanically reduced to three-variables and two-premise inferences. Meriological inferences can also be easily treated in this way. The book covers the following subjects: structural description of space; three-variable inferences through products, sums, subtractions, and divisions; generalization to n variables; relations; and applications.