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261:. To put it another way, "a thing is good if it has all its descriptive properties." This means, according to Hartman, that the good thing has a name, that the name has a meaning defined by a set of properties, and that the thing possesses all of the properties in the set. A thing is bad if it does not fulfill its description.
368:, since this is the only case where there is a ratio between the total number of desired properties and the number of such properties possessed by some object being valued. (In the case where the number of properties is
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Hartman, Robert S., "Application of the
Science of Axiology," Ch. IX in Rem B. Edwards and John W. Davis, eds., Forms of Value and Valuation: Theory and Applications. Lanham, Md., University Press of America,
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reciprocals, as a sort of infinitesimal proportion. This, he contends goes to zero in the limit as the uncountable cardinals become larger. In
Hartman's calculus, for example, the assurance in a
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each property of the thing is worth as much as each other property, depending on the level of abstraction
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properties, each of them—if on the same level of abstraction—is proportionally worth
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as well as the mere definition of a specific concept is taken into consideration.)
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Although they play no role in ordinary mathematics, Hartman deploys the notion of
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Hartman goes on to consider infinite sets of properties. Hartman claims that
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Value and
Valuation: Axiological Studies in Honor of Robert S. Hartman
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Axiometrics
International, Incorporated--30 years of applied research
105:. Statements consisting only of original research should be removed.
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Trends
Towards Synthesis in the Philosophy of Robert S. Hartman,
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Hartman, Robert S., "Axiometric
Structure of Intrinsic Value",
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set of predicates, intended in as many ways, which he gives as
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Hartman quantifies this notion by the principle that
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536:{\displaystyle {\frac {_{1}}{\aleph _{1}}}}
492:{\displaystyle {\frac {_{1}}{\aleph _{2}}}}
64:Learn how and when to remove these messages
623:Boston, 1969, esp. pp. 9–45, 101–123.
616:(Summer, 1974; v.8, no. 2, pp. 88–101
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181:April 2024
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