First notions of logic (preparatory to the study of geometry)

by Augustus De Morgan

"First notions of logic (preparatory to the study of geometry)" by Augustus De Morgan is a scientific publication written in the early 19th century. The book serves as an introductory text to logical reasoning, particularly in the context of preparing students for the study of geometry, emphasizing the importance of understanding the process of inference and the construction of valid arguments. In this work, De Morgan explains the fundamental principles of logic, detailing the various types of propositions and their implications for reasoning. He outlines how conclusions can be accurately inferred from given premises and discusses the importance of clear definitions in logical discourse. The text also distinguishes between affirmative and negative propositions, universal and particular statements, and introduces concepts such as syllogisms, contradictions, and the roles of middle terms in arguments. Through examples and structured reasoning, De Morgan aims to equip students with the essential tools for logical analysis, paving the way for deeper exploration into mathematics and geometry.