Statements A, B and C correctly define simple, compound and categorical statements, and E is true about their relevance in symbolising arguments. D is false because compound statements can involve more than two components, such as βp and q and rβ. F is false since an atomic statement by definition has no smaller independent statement-parts with their own truth values. Therefore the correct collection of true statements is A, B, C and E only.
Option A:
Option A is incorrect because it includes D, which wrongly restricts compound statements to exactly two components. That restriction does not hold in propositional logic where longer conjunctions and disjunctions are allowed. Hence this option mixes true and false statements.
Option B:
Option B is correct as it gathers all the accurate characterisations and the exam-related remark about symbolisation. It excludes D and F, both of which misrepresent the structure of simple and compound statements. This makes it the only fully consistent combination.
Option C:
Option C is wrong since it omits A, dropping the basic definition of a simple statement, and includes F, which falsely suggests divisibility of atomic sentences. As a result, the option does not contain all true statements and contains at least one false one.
Option D:
Option D is also incorrect because it includes D, preserving the mistaken limit on compound statements, and omits B, losing an essential part of the definition. This prevents the option from being correct.
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