The "or" in language

Clearly, the "or" is operative in most deductive reasoning: i.e. All ancient Greek philosophers were men, Socrates was an ancient Greek philosopher, thus Socrates was a man.  For this reasoning involves detaching an individual from a class of individuals. Similarly, inductive reasoning, in which you combine facts to reach a general conclusion involves the "and".  Of course, the "and" is also involved in deductive reasoning, for even in the above example involving Socrates, we are combining facts to reach conclusions.
But it would seem that language involves some degree of object recognition; i.e. "That is a rose." When I say that, I am recognizing that this flower, due to a number of characteristics, is a member of a category of flowers we call roses, and I am detaching it from that family when I focus on it and say, "This is a rose."  I am also affirming the detachment of the family, "roses", from all other entities.  In addition, I am adding this rose to that family of roses, so that I'll know for future reference that this is also a rose, thus also invoking the "and". 
Thus,  the "object" is an integral part of sentence structure, and comprehension would seem to involve an act of conjuring up classes of objects, determining that the word uttered is one of those objects, detachment, and the addition of that object to the class of objects of which we speak for future reference.