Theoriae Causalitatis Principia Mathematica. Third Edition

lija Barukčić’s Theoriae Causalitatis Principia Mathematica  (Third Edition) is a monumental attempt to map the complex terrain of causation across philosophy, science, mathematics, and logic. At first glance, its detailed and layered table of contents reveals an ambitious project: to investigate what causality means, how it has been understood throughout history, and how it operates in domains as varied as physics, law, epidemiology, and logic. The opening chapters in Part I ground the discussion in the most fundamental terms: what is reality, and how do causality and anti-causality shape our understanding of it? By starting here, the author signals the centrality of causation not merely as a technical tool but as a cornerstone of human thought and survival, particularly when tied to evolution and the functioning of the brain. The framing of adaptation versus extinction establishes the stakes of causation as more than abstract speculation—it is a principle interwoven with life itself.

Part I also sets the stage by addressing proof methods, showing how humans arrive at causal knowledge through induction, deduction, and experimental reasoning. The rich taxonomy of proof methods—modus ponens, modus tollens, counterexamples, and even thought experiments—demonstrates the depth of logical frameworks underpinning causal claims. This signals the book’s hybrid nature: it is simultaneously philosophical, methodological, and scientific.

Part II dives into causation as explored in intellectual history and modern disciplines. Philosophy takes center stage with discussions of Aristotle, Bruno, d’Holbach, Hume, Kant, and Hegel. These sections do not merely rehearse historical positions but situate them in a broader dialectic of causality versus anti-causality. The treatment of Hume’s skepticism, Kant’s a priori categories, and Hegel’s synthesis shows how philosophical disputes set the stage for modern causal reasoning. The discussion of mathematics, correlation, association, and counterfactuals connects philosophical concerns with statistical and probabilistic reasoning, making clear how the sciences depend on causal frameworks to extract meaning from data. The later treatment of physics—covering determinism, indeterminism, and relativity—extends the inquiry into the natural sciences, while the chapter on law reminds readers of the practical, normative stakes of causal reasoning in legal judgments.

Part III offers a compendium of definitions and formal tools. This section, dense with topics such as probability theory, random variables, tensor algebra, and distributions, reveals the technical backbone of causal analysis. The material here might overwhelm a casual reader but will prove invaluable to those seeking precise formalism. The discussion of probability, covariance, and distributions—ranging from binomial to Poisson, normal, chi-square, and beyond—grounds causal reasoning in rigorous statistical frameworks. Notably, the inclusion of tensor algebra and even connections to big data analysis shows the book’s forward-looking ambition to equip readers for contemporary challenges.

Part IV turns to conditionalism, exploring coincidence, necessary and sufficient conditions, exclusion relations, and logical structures such as NAND and sine qua non conditions. This section ties logical and probabilistic reasoning back to causation in applied settings. By incorporating case studies like glyphosate and non-Hodgkin lymphoma, the text demonstrates its relevance to urgent contemporary debates in science, health, and public policy. The exploration of Mackie’s INUS conditions and statistical thresholds such as p-values further emphasizes the blending of philosophy with applied methodology.

The book’s overall strength lies in its scope and interdisciplinarity. It manages to treat causation not as a narrow concept but as a thread linking human thought across time and disciplines. However, the very breadth of the text may challenge readers who are not comfortable crossing between philosophy, mathematics, and empirical science. Some sections—particularly the dense statistical expositions—may feel overly technical, while others lean more heavily on historical-philosophical exposition. Yet this tension is also what makes the book unique: it resists reducing causality to a single perspective, instead presenting it as a multifaceted and contested concept that demands multiple lenses.

In the end, the book reads as both a reference work and an intellectual journey. It invites readers to see causation not merely as a scientific tool but as a profound and ongoing question about how we understand reality, act in the world, and justify our knowledge claims. For philosophers, scientists, legal scholars, and methodologists, it offers a panoramic guide to the ways causation structures our understanding. For general readers, it may prove challenging but rewarding, pushing them to reflect on how deeply causation underpins human thought and action. It is not a light read, but it is an ambitious and significant one, likely to stand as a major contribution to the literature on causality.