Final answer:
The statement in question deals with a concept in propositional logic and refers to the impossibility of a tautology having a conjunction as its main connective. It relates to the law of noncontradiction and the law of the excluded middle. Thus, it is classified as a Logical fallacy within the field of logic in Computers and Technology.
Step-by-step explanation:
The statement 'It's impossible to have a tautology whose main connective is an ampersand' is referring to the principles of logic and specifically to a concept in propositional logic. The ampersand, commonly represented as '&', stands for the logical conjunction 'and'. A tautology in logic is a compound statement that is always true, regardless of the truth values of the individual statements that make it up.
The main connective of a tautology cannot be a conjunction because a conjunction is only true if both of its constituent statements are true. This concept relates closely to the law of noncontradiction, a fundamental principle in logic which dictates that a statement and its negation cannot both be true at the same time, as well as the law of the excluded middle, which states that for any statement, either the statement or its negation is true.
The classification of this subject could be A) Logical fallacy, as the content of the statement pertains to a principle of logical reasoning. This question explores logical structures and reasoning errors, which is under the field of logic within Computers and Technology.