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

"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. (This is an automatically generated summary.)

Augustus De Morgan was a British mathematician and logician. He is best known for De Morgan's laws, relating logical conjunction, disjunction, and negation, and for coining the term "mathematical induction", the underlying principles of which he formalized. De Morgan's contributions to logic are heavily used in many branches of mathematics, including set theory and probability theory, as well as other related fields such as computer science.