Abstract
The value of the axiomatic method in conjunction with Muncaster's PropCalc Workplace to analyze and increase the precision of social science theory is illustrated through applications that include political philosophy, ethical reasoning, and theories of attitude change. All of the examples were originally expressed through verbal statements. A formal logical analysis is applied to the US Declaration of Independence which provides a set of propositions upon which governments are based, Einstein's essay on the laws of science and the laws of ethics, and basic concepts of balance and dissonance theories of attitude change. In each case, symbolic representations of the verbal language are then subjected to analysis for consistency and redundancy among the propositions and sample conclusions from each model are presented. The Muncaster's PropCalc is a valuable aid in identifying the integrity and consequences of the models. The discussion includes an examination of the relationship between the models and their correspondence with reality.
Highlights
The history of the axiomatic approach since Euclid [1] has relied on verbally stated propositions and application of logical analysis
The development of symbolic representations has resulted in the precision associated with mathematical systems in both the expressions of the assumptions and in the proofs of theorems
Applications of the Axiomatic Method in Social Science: The Declaration of Independence, Einstein and Ethics, and Balance and Dissonance Attitude Theories social group greatly influence the judgment of fairness
Summary
The history of the axiomatic approach since Euclid [1] has relied on verbally stated propositions and application of logical analysis. Background The principles embodied in the US Declaration of Independence developed over a long period of history and with variation were present in many ancient societies. Fundamental to these was a judgment of fairness. This document contained some fundamental rights for those who were below royalty, the principles did not always apply to the common citizen They included (article number is in parens): (1) the English church will be free, (19 and 21) trials in the local area and, for earls and barons, trials by peers, (39), freedom to free-men unless trial by jury, and (41 and 42) freedom to travel from and return to the country.
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