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Deductive and Inductive Logic

- Asia Whitcomb


ISBN: 978-1-926686-41-7
Binding: Hardbound
Pages: 324

Logic is the science of how to evaluate arguments and reasoning. It is what allows us to distinguish correct reasoning from poor reasoning and without correct reasoning, we would have no viable means for knowing the truth or arriving at sound beliefs. Deductive reasoning concerns what follows necessarily from given premises, while inductive reasoning derives a reliable generalization from observations. Logic is fundamental to all disciplines, from agriculture to astronautics. There are not several kinds of logic, one for philosophy and one for mathematics; instead, the same rules of thought that apply to politics apply also to chemistry, to statistical studies, or to theology.

CONTENTS: Preface; Introductory; General Analysis of Propositions; Of Terms and Their Denotation; The Connotation of Terms; The Classification of Propositions; Conditions of Immediate Inference; Immediate Inferences; Order of Terms, Euler's Diagrams, Logical Equations, Existential Import of Propositions; Formal Conditions of Mediate Inference; Categorical Syllogisms; Abbreviated and Compound Arguments; Conditional Syllogisms; Transition to Induction; Causation; Inductive Method; The Canons of Direct Induction; Combination of Induction with Deduction; Hypotheses; Laws Classified; Explanation; Co-Existence; Analogy; Probability; Division and Classification; Nomenclature, Definition, Predicables; Definition of Common Terms; Fallacies; Questions; Index

Print Price: $120 US / $120 CAN | Size: 6.375” x 9.435” | September, 2010
Ebook Forthcoming
 
 
History of Modern Mathematics

- Donald Reeves


ISBN: 978-1-926686-42-4
Binding: Hardbound
Pages: 320

Mathematics is a vital field of study in today's modern worldbut it has its roots in the ancient world. The evolution of mathematics is as an ever-increasing series of abstractions, one that begins with the simplest counting systems, evolves into numeral systems, and expands from there. The major disciplines within mathematics sprang from the need to do calculations relating to taxation and commerce, to understand the relationships among numbers, to measure land, and to predict astronomical events. These needs created the broad subdivisions of mathematics into the studies of quantity, structure, space, and change. Mathematics is an evergrowing field, but the mathematical discoveries of the past help the student to better understand the maths they study today.

CONTENTS: Introduction; Theory of Numbers; Irrational and Transcendent Numbers; Complex Numbers; Quaternions and Ausdehnungslehre; Theory of Equations; Substitutions and Groups; Determinants; Quantics; Calculus; Differential Equations; Infinite Series; Theory of Functions; Probabilities and Least Squares; Analytic Geometry; Modern Geometry; Elementary Geometry and Trigonometry; Non-Euclidean Geometry; Appendix I:Important Figures in the History of Mathematics; Appendix II:A Timeline of Mathematics; Appendix III:Ancient Mathematics; Appendix IV:Indian Mathematics; Index

Print Price: $120 US / $120 CAN | Size: 6.375” x 9.435” | September, 2010
Ebook Forthcoming
 
 
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