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Each case leads to a distinct notion of critical dimension for the operator (L_gamma ).
A distinct notion of complexity is studied in Kolmogorov complexity theory (e.g., Li and Vitányi 1997).
Further, if all the marks that form part of a distinct notion are themselves distinctly known, then the cognition is adequate.
When one can give such an enumeration, one possesses a distinct notion or concept and is thus able to give a nominal definition of the thing.
Whether "conceptually possible worlds" should be taken to be distinct from metaphysically possible worlds, or instead identified with metaphysically possible worlds (or centered worlds) but with a distinct notion of "truth at a world" (à la two-dimensional semantics), is here left wide open.
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One can then see fallacies, not as a theoretically distinct notion, but as deviations from these rules.
Descartes' particular misstep here is to suggest that we may move from the definition of God (which we intuit as a clear and distinct notion) as essentially entailing the property of existence, to the view that there is such a thing as God with said property.
A closely aligned but also somewhat distinct notion is the concept of ethics.
One was left with the distinct notion that, as much as the Broncos had become defined by one player, so, too, had the Patriots.
Since literature was sparse, the authors described the related but distinct notion of statistical efficiency, where researchers may use variance components to allocate measures in the most efficient way, based only on criteria related to statistical performance.
Given a distinction between existence and real existence, the notion of ontological commitment bifurcates into two distinct notions, one shallow and one deep.
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