Logic: Techniques of Formal Reasoning, 2/e is an introductory volume that teaches students to recognize and construct correct deductions. It takes students through all logical steps--from premise to conclusion--and presents appropriate symbols and terms, while giving examples to clarify principles. Logic, 2/e uses models to establish the invalidity of arguments, and includes exercise sets throughout, ranging from easy to challenging. Solutions are provided to selected exercises, and historical remarks discuss major contributions to the theories covered.

This book is intended to be used as a textbook by students of mathematics, and also within limitations as a reference work.

This book is intended to be used as a textbook by students of mathematics, and also within limitations as a reference work.

Logic: Techniques of Formal Reasoning, 2/e is an introductory volume that teaches students to recognize and construct correct deductions. It takes students through all logical steps--from premise to conclusion--and presents appropriate symbols and terms, while giving examples to clarify principles. Logic, 2/e uses models to establish the invalidity of arguments, and includes exercise sets throughout, ranging from easy to challenging. Solutions are provided to selected exercises, and historical remarks discuss major contributions to the theories covered.

This book traces the development of formal logic from its origins in ancient Greece to the present day. The authors first discuss the work of logicians from Aristotle to Frege, showing how they were influenced by the philosophical or mathematical ideas of their time. They then examine developments in the present century.

This paper examines the role of a proper opponent (phyi rgol yang dag) in debate from the standpoint of the Tibetan Buddhist theory of argumentation. A proper opponent is a person who is engaged in the process of truth-seeking. He is not a debater who undertakes to refute the tenets of a proponent. But rather, he is the model debater to whom a proponent can teach truth by using a probative argument in the most effective way. A proper opponent is (...) thus the model thinker conceived by Tibetan Buddhist scholars, especially by the dGe lugs pa exegetes, to explain the idea of “inference for others.” The term phyi rgol yang dag figures in many text books of the dGe lugs pa school. And the germ of the dGe lugs pa's idea of ``proper opponent'' is found in early Tibetan tshad ma literature, too. The present paper shows that the dGe lugs pa scholars are largely concerned with the process by which one obtains an inferential knowledge about the unknown object, and also that they, when talking about a proper opponent, emphasize the pedagogical role of dialectic conversation rather than the competitive feature of debates. (shrink)