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The reason is that both Wajsberg and Parry derived in system S3 – in its 1918 axiomatization – the following theorem: (p⇒q)⇒((q⇒r)⇒(p⇒r)), which according to Lewis ought not to be regarded as a valid principle of deduction.
Although it is classically valid, Brouwer's proof of the principle shows that the reason for accepting it as a valid principle in intuitionism differs fundamentally from the argument supporting its acceptability in classical mathematics.
The fact that the Axiom of Choice implies Excluded Middle seems at first sight to be at variance with the fact that the former is often taken as a valid principle in systems of constructive mathematics governed by intuitionistic logic, e.g. Bishop's Constructive Analysis[16] and Martin-Löf's Constructive Type Theory[17], in which Excluded Middle is not affirmed.
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MacNEIL: And a valid principle, in your view?
Chomsky then replied: "That principle is not a valid principle in my view".
In the recent AO book on nonunions, these are listed as still valid principles [32].
The purpose of this study was to explore whether or not the C-test, as it is claimed, serves as a valid operationalization of the reduced redundancy principle.
If some valid principle of equality applies directly to health, and if some independent injustices function as causes of health inequalities, then a complete account of justice in relation to health inequalities will require a combined approach.
Thus our results suggest that in principle genomic distribution of SINEs can be used as a valid method for typing of E. histolytica strains.
Finally, instrument 3 in that study was a questionnaire which had not been longitudinally validated according to the COSMIN principles before and can, consequently, not be used as a valid external criterion [ 5].
The WBT stands as a valid diagnostic tool that assesses individual knowledge and understanding of essential concepts and principles in economic decision-making.
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