Mazen on April 9, 2020
To help you help me: my question is predicated on the assumption that I am correct in treating "neither/nor" statements as compound statement, so "and" but in the negative. And that "either/or" statements are not compound statements.
With that being said--
Choice D states: "No one is either wise or intelligent." Is it correct if I treat the negation of an "either/or" statement as a compound statement; so "and" but in the negative. Meaning, can I treat it synonymously to the following statement: no one can be both wise "and" intelligent?
If I can, then I can diagram it (i.e. answer choice D) as a premise, rather than as a principle: Not Wise and Not Intelligent (~W&~I).
If yes, then D is he correct answer because it contradicts the information sets forth in the passage, which is "In [the essayist's] own experience, the people [she/he] meets must be either wise or intelligent, but not both."
While we are on the subject of compound statements, "neither/nor" statements are compound statements, and they negate "either/or" statements. Am I correct?
If so, as opposed to rephrasing D as I did above -- in the form of "no one is both wise and intelligent," -- can I instead rephrase D as follows: everyone is neither wise nor intelligent; and treat it as a premise rather than a sufficient-necessary principle thereby diagramming it consistently as I did above: Not Wise and Not Intelligent (~W&~I)?
Finally, When I rewrote answer choice D in the "neither/nor" form I replaced D's "no one" with "everyone." I did not rewrite it as "someone" because I am trying to hold the meaning of the statement, and not disprove it.
In other words, I know that all it takes for disproving "everyone," or "no one," or "each" statements is to find at least one case/person, so "someone."
However, in the case of answer choice D -- "No one is either wise or intelligent" -- I am rephrasing it in terms of "neither/nor," I am not negating it to disprove it.
This last part is making me nervous, because I know that only one case/instance/ is required to negate an absolute statement. And yet I feel that this case falls outside the parameters of this rule. It is not clear in my mind why that is??
Ben on April 9, 2020
Ben on April 10, 2020
Mazen on April 11, 2020