2. Classify each of the sentences below as an atomic statement, a molecular statement, or not a statement at all. If the stateme
nt is molecular, say what kind it is (conjuction, disjunction, conditional, biconditional, negation). The sum of the first 100 odd positive integers. Everybody needs somebody sometime. The Broncos will win the Super Bowl or I'll eat my hat. We can have donuts for dinner, but only if it rains. Every natural number greater than 1 is either prime or composite. This sentence is false.
Logically, an atomic phrase is a kind of declarative phrase that is either correct or false and therefore can not be broken down into certain simple phrases.
In a logical analysis, only two factors decide the validity or falsehood of sentences in general: the logical form of the sentence and the truth or falsehood of its simple sentences. This is, for example, to say that the true phrase' John is Greek, and John is glad' is a function of' and' and the true values of the atomic phrases ' John is Greek' and' John is glad.'
