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In advanced English syntax and determiners, the distribution and selection of quantifying determiners such as 'each', 'every', 'all', 'either', and 'neither' are governed by strict morphosyntactic constraints and countability rules. Consider the following four advanced propositions: I. The determiner 'each' is used to view members of a group individually and can be employed with singular countable nouns, pronoun heads, and in post-determiner floating positions (e.g., 'The committee members each submitted a report'), whereas 'every' is restricted to singular countable nouns and cannot modify pronouns or float post-determinately. II. The quantifier 'all' can combine with plural countable nouns as well as mass (uncountable) nouns with or without a definite article (e.g., 'all information', 'all the books'), but when modifying singular countable nouns, it requires a partitive construction or temporal expression (e.g., 'all the day' or 'all day', rather than 'all book'). III. In negative binary contexts, 'neither' functions as a determiner or pronoun to select none of the two available items, but it is grammatically permissible to follow it with a plural countable noun provided the verb remains strictly in the singular form (e.g., 'Neither of the proposals are viable'). IV. The correlative dual conjunctions 'either...or' and 'neither...nor' govern subject-verb concord through the rule of proximity, where the finite verb agrees in person and number with the closer of the two coordinate noun phrases (e.g., 'Neither the manager nor her assistants were present'). Identify the option that correctly evaluates the grammatical, syntactic, and semantic validity of propositions I, II, III, and IV according to standard English grammar and Determiner principles.

Detailed Explanation

To evaluate the propositions: - **Proposition I is correct:** 'Each' can view group members individually, modify singular nouns/pronouns, and float post-determinately (e.g., 'They each received an award'). 'Every' is strictly a determiner for singular countable nouns and cannot modify standalone pronouns or float. - **Proposition II is correct:** 'All' modifies plural countable and mass nouns directly (e.g., 'all information', 'all books'), but with singular countable nouns, it is restricted to temporal or mass-like units (e.g., 'all day', 'all week') or requires a partitive ('all of the book'). - **Proposition III is incorrect:** When 'neither of' (or 'either of') takes a plural noun phrase, the pronoun head 'neither' is singular; thus, standard prescriptive grammar dictates a singular verb ('Neither of the proposals *is* viable'), making proposition III false due to the concord error. - **Proposition IV is correct:** Correlative structures like 'neither...nor' follow the rule of proximity (or attraction), where the verb agrees with the closer subject noun phrase (e.g., 'Neither the manager nor her assistants *were* present'). For an in-depth linguistic breakdown of structural categorization, refer to the Determiner Wikipedia page.
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