In advanced English syntax and determiner grammar, the distribution, co-occurrence constraints, and semantic nuances of articles (a, an, the) and quantifiers interact intricately with noun countability, generic reference, and modification rules. Consider the following four advanced propositions regarding articles and determiners: I. When a singular countable noun is modified by an adjective and preceded by an intensifier such as 'so', 'as', 'too', 'how', 'however', or 'this', the indefinite article shifts its canonical position to sit strictly *between* the adjective and the noun head (e.g., 'She is so diligent a researcher' or 'Too complex a problem was presented'), rather than preceding the adjective. II. The zero article is mandatory before plural or uncountable nouns when used in a generic sense to denote a class or universal category in its entirety (e.g., 'Computers have revolutionized modern communication' or 'Water boils at 100 degrees Celsius'), whereas the definite article 'the' is required when referring to these same nouns in a specific, contextually restricted sense. III. When two or more coordinated singular countable nouns refer to distinct, separate individuals or entities within the same clause, the definite article must be omitted before the second noun to indicate that they share a single collective identity and administrative office (e.g., 'The chairman and managing director was present at the board meeting'). IV. The quantifiers 'few' and 'little' are inherently negative determiners denoting an insufficient quantity, narrow margin, or near-absence (equivalent in polarity to 'not many' or 'not much'), whereas their modified counterparts 'a few' and 'a little' carry a positive semantic polarity denoting a small, sufficient, or appreciable amount. 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 theory.