We analyse the three basic non-deductive rules of Talmudic inference; namely Kal Vachomer (Argumentum A Fortiori) and the two kinds of Binyan Av (Analogy and Induction). We construct a unified Matrix Abduction model which explains all the major instances of these rules in the Talmud.

In this book we study the Deontic Logic of the Talmud. We find the system is different from the formal deontic logical system currently used in the general scientific community, both in its ethical aspects as well as in its legal aspects. We show that the Talmudic distinctions between Obligations and Prohibitions are not based on the manner of execution of actions (positive action or lack of action) and offer a suitable model for such distinctions. Our model distinguishes between the normative and practical aspects of the Talmudic legal and ethical argumentation and discusses several...

This book studies the Talmudic approach to Delegation. We develop logical models for the basic Talmudic views of delegation. The Talmudic approaches to the relationships between the Principal and his Agent/Delegate are fundamentally very logical, and deal with questions like chains of delegations, transfer of power, cancellations, death, irresponsible behaviour, change of the terms of delegation, and much more. We highlight the differences between the Talmudic approach and the view of delegation in modern legal systems.

This book returns to the discussion in volume 1 on analogy and induction, and analyses their substance. The first part distinguishes between two kinds of logic: One kind based on union of the common features, and the other kind based on synthesis of different features. In the second part of the book we propose a formal scheme for synthesis of concepts. The third part analyses various mechanisms for kidushin and kinyan, which form a mathematical group.

Tragedy strikes often in the coal country of Southern West Virginia, one of America's poorest places. Too often the tragedies are caused by corporate malevolence. When a coal impoundment dam upstream of War, West Virginia, collapses, sending a raging black torrent of death through the hollow, Lucas "Pug" Graham and a band of survivors decide that justice must be done.

Plato's theory of forms and Aristotle's Hylomorphism form a foundational bifurcation at the source of western philosophy. From a Jurisprudential and Talmudic point of view, assessing the status of objects and actions obligatory in Halacha can be clarified when assessed through this dual view of obligations to abstract ideal forms or concrete earthly objects. The Talmudic mode of analysing Halachic obligations suggests an approach of abstraction that though not fully Platonic, can share some basic logical modes with it.

When Marjorie Taliaferro's beloved twin sister Sally Taliaferro Bradley is stricken with breast cancer, it's tragic enough. But when the governorship of the Commonwealth of Virginia, a position she rightfully deserves, is wrested from her during her infirmity, it is an action that cannot stand. Marjorie and her life partner Anne Randolph, along with a cadre of supporters, lay forth plans to recapture Sally's lawful position and along with it a measure of fair governance to the state.

This volume deals with issues already discussed in volumes eight and nine: Analysis and Synthesis of concepts. So far we have assumed binary logic, i.e., either something is true or it is false. Now we leave this dichotomous approach, and discover that an extension to multi-valued logic (fuzzy logic) and quantum states helps to solve problems left unsolved in the dichotomous approach.