Final answer:
A logical conjunction as used in logic remains a pure logical conjunction even if it generates syntactically irrelevant sentences, as its fundamental role is to connect two propositions such that the compound statement is true only when both components are true. This concept is analogous to arranging words in a sentence to form a coherent statement without needing to consciously consider all possible combinations, relying on an understanding of underlying grammar rules.
Step-by-step explanation:
The question at hand explores whether a conjunction in logic retains its identity as a pure logical conjunction if it creates syntactically self-irrelevant sentences without inferential value and without contralogical meaning. The term conjunction in logic refers to a compound statement formed by connecting two statements with the word 'and' in such a way that the compound statement is true only when both component statements are true. This is analogous to understanding the underlying rules of grammar without consciously thinking through all combinations to form a coherent sentence.
Logical conjunctions are about how statements might be arranged in relation to each other to yield a true combined proposition only if both component propositions are true. Just as in language, where the meaning of a sentence can be affected by its structure or punctuation, in logic, the structure of arguments is crucial. Replacement of statements with variables is a standard practice in formal logic to demonstrate the validity of argument forms, such as the disjunctive syllogism. However, in the context of non-standard uses that generate self-irrelevant or non-inferential statements, the conjunction might lack practical utility but it still fundamentally represents the connective that defines the logical AND operation.
Conditions such as 'if-then' statements are essential in logical discourse and can express the logical relations between propositions, which can be crucial for constructing comprehensive theories or accurately describing the world. Issues with sentences in logic can mirror issues in language, such as mixed-construction sentences which can lead to incoherence. Both instances demonstrate the significance of clear and well-structured predication and statement formulation.