On the math site, I wrote: "English learned in the 1950s in the corn belt is different from that spoken by a 20 year old New Yorker." My question is does this have any basis in truth? I think it does, but I am not a linguist or a mathematician, for that matter.
I have traveled in the US, Europe, South America and Asia. Where ever English is spoken it seems common to hear that the speaker uses either American English or British English. There are also often discussion about people from the North and those from the South not understanding each others speech. I grew up in Indiana in the 1940s and 50s. There are expressions used there now that I do not recognize. I know what they mean, but they were not part of the language that I learned. English sentences are translated in to logic sentences. If English and logic are consistent languages, then, in theory, there is path from the English sentence to the logic sentence. If so, then the logic sentence I write should look much like the logic sentence someone else writes. It often does not, however.
Some examples of English sentences to be translated in to logic sentences.
"To limit the loss of our company, not only the economical and statistical researches are necessary, but also a change in our spending patterns."
For all integers x, there is some integer y such that if x≠0, then xy=1.
“no two robots love exactly the same set of cats.”
"no two robots love the same cat,"
"if robot R loves cat C, and robot X is a different robot, then X does not love cat C."
I realize that these are made examples for teaching, but instead of learning how to express an English sentence using logic symbols I seem to be learning someting about how untangle convoluted or nonsensical English sentences. It is fun, but not contributing much to my understanding of propositional logic. I was, in looking for these examples, able to eliminate changes in word meaning and phrases used from my question. If two people hear the same words and understand them completely, but produce different "results", then that is another issue.
Forgive me if I have not been clear. I will gladly accept suggestions to help make my question more clear.