For each of the following putative sentences: a) determine whether this is a syntactically correct formal sentence; b) if not, explain why not; c) if so, identify the main operator and evaluate the sentence using the atomic sentences provided. “My” refers to you, the student.(my last doesn't begin with a vowel) A – An argument can be valid but have a false conclusion. B – Rutgers–Camden is #1 among the three main Rutgers campuses, alphabetically. C – My last name begins with a vowel. A → (B ↔︎ (C ⌵ ¬C))
For each of the following putative sentences: a) determine whether this is a syntactically correct formal sentence; b) if not, explain why not; c) if so, identify the main operator and evaluate the sentence using the atomic sentences provided. “My” refers to you, the student.(my last doesn't begin with a vowel)
A – An argument can be valid but have a false conclusion.
B – Rutgers–Camden is #1 among the three main Rutgers campuses, alphabetically.
C – My last name begins with a vowel.
A → (B ↔︎ (C ⌵ ¬C))
Note: No instruction is given for "A → (B ↔︎ (C ⌵ ¬C))".
For (A),
We are given the statement "An argument can be valid but have a false conclusion."
As an argument can have a true or false conclusion.
Thus, the statement is a valid statement and having the truth value 0.
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