This book explains and advances formal axiology as originally developed by Robert S. Hartman. Formal axiology identifies the general patterns involved in (1) the meaning of "good" and other value concepts, in (2) what we value (value-objects), and in (3) how we value (valuations or evaluations). It explains the rational, practical, and affective aspects of evaluation and shows how to make value judgments more rationally and effectively. It distinguishes between intrinsic, extrinsic, and systemic values and evaluations, and discusses how and why they fall into a rational hierarchy of value. It demonstrates the intrinsic worth of unique conscious beings and develops an axiological ethics in the three value dimensions. It explores the search for a logical calculus of value and introduces applications of axiology in psychology, religion, aesthetics, and business. It is critical of Hartman's shortcomings but builds upon his strengths and extends his theory of values where incomplete.