|Consistency, philosophy, logic: within a system, consistency may be demonstrated, but not beyond the boundaries of this system, since the use of the symbols and the set of possible objects are only defined for this system.|
Within mathematics, and only there applies that the mathematical objects, which are mentioned in consistent formulas, exist (Hilbert, Über das Unendliche, 1926). See also falsification, verification, existence, well-formed.
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Consistency/Law of Consistency/Millikan: consistency is then a template of an abstract world structure or something that is sufficient for such a template.
Consistency/Millikan: consistency is basically a law of ontology. (See, for example, an object must not contain any contradictory properties in itself) (See time, timely identitiy).
R. G. Millikan
Language, Thought, and Other Biological Categories: New Foundations for Realism Cambridge 1987