Many wanna be philosophers bank their proofs on so called theory. According to such and such a theory, they say this or that. When I was a child I posited the notion that how is it that these fools, while watching this or that theory comes into fashion, and then out of fashion, that they had any notion of truth at all? Is truth, a absolute a relative? Who, but a complete moron think that?
Every system of grammar rests on well defined terms, however not one of these fools knows what that statement means. What is a definition?
As, by biological and physical fact, all we can do is name materials and the limits, shapes or forms of those materials, i.e., information parsing, two parts of speech. We have to agree upon the names of each of these. Thus we start with a convention of names, and recursively apply this single fact, we have to arrive at a convention of names, i.e., grammar neither adds to, nor subtracts from, the actual data, and proofing is only the mapping of our own social agreements of names.
As definition is the preservation of a convention of names, the product of definitions can only result in a convention of names. In the simple, every result is produced by a convention of names, not theory, or mysticism.
So, you have to be completely illiterate to claim that any product of names, is the result of theory, it is the product of a social convention, not of mysticism nor theory.
No definition is, as claimed by many books, the product of any group of words whatsoever, but is the product of a convention of names, one for material, and another for the name of its parsing.
A sycophant claims the a result is the product of some hero real or imagined. All of judgment is the result of social convention of names, and the operations imposed using names is set by objective reality.
So, I found all of my school books very odd, and very primitive, not one of them teach that all of reasoning is supposed to teach children that the product of any form of reasoning is derived from the simple convention of names, all of then appear to be written by Neanderthals or even more primitive devolution of mankind. The product of such education can only result if a really savage and social structure we find today.