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And after the multiculturalist thinking of the 1990's, traditionally defined notions of racial identity and ethnic group have been thrown into question.
The irony here is that notions of national identity are very close to multiculturalism in that both celebrate defined notions of group belonging as given sets of behaviours and attitudes receive a seal of cultural approval and others are rejected.
Let us give an example which will illustrate the role of the above defined notions.
Other independently defined notions of computability based on alternative foundations, such as recursive functions and abacus machines have been shown to be equivalent to Turing-computability.
With appropriate definitions of those notions, the theorems about them would be susceptible of being reformulated making use of the defined notions, and the uneasiness described by Tarski in the text just quoted would be alleviated.
In the present paper, existence theorems of coincidence points of a crisp mapping and a sequence of L-fuzzy mappings have been established in a complete metric space under contractive type conditions in connection with newly defined notions of D α L and d L ∞ distances on the class of L-fuzzy sets.
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The real problem with this poorly defined notion is that, in practice, it serves powerful incumbents and the centrally positioned US government, diffusing talk of any genuinely representative global alternative for policy-making and oversight.
This yields a coalgebraically defined notion of observational indistinguishability, as well as an algebraically defined notion of reachability under computations.
And in terms of the defined notion of model Tarski proposes his defined notion of logical consequence.
This coincides with the algebraically defined notion of a context given above.
In terms of the defined notion of satisfaction, Tarski introduces the notion of a model of a sentence.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com