The Logic of Chance, 3rd Edition: An Essay on the Foundations and Province of the Theory of Probability, with Especial Reference to Its Logical Bearings and Its Application to Moral and Social Science and to Statistics

A scientific publication written in the late 19th century. This work focuses on the foundations and theoretical aspects of probability, exploring its implications and applications in moral and social sciences, as well as statistics. The author aims to bridge the gap between mathematical probability and philosophical inquiry, arguing against the common perception that probability is merely a mathematical discipline devoid of substantive philosophical value. At the start of the text, Venn establishes the foundations of probability, emphasizing the importance of understanding the nature of series and how they relate to probability theory. He discusses the distinction between various types of assertions in natural phenomena, noting that while individual instances may appear chaotic, larger aggregates often reveal underlying patterns of regularity. Venn critiques the prevailing views of probability as purely mathematical, asserting that its principles are integral to broader philosophical discussions. He sets the stage for a rigorous exploration of probabilistic concepts, addressing misconceptions and laying the groundwork for the subsequent analysis of probabilistic laws and applications.