What is Meta-Grammar?
Meta-Grammar is the grammar from which all grammars derived. What that is, you should know by now unless you are a bit slow. You have direct experience with meta-grammar, it is what Plato called dialectic, or speech by two's, and which we call today, binary. All information is processed in binary, which should be no surprise because the definition of a thing is binary. Turning a light switch on and off is a binary behavior which produces a binary response.
So, binary is part of the answer, it is that part which is called the correlative, container, limit, shape, form, etc. Now, we need the relative, the behavior which makes a particular grammar, a meta-grammar. Or again, binary is the intelligible part and we all know how many grammarians got that part. We now need the relative part, the actual difference which makes a grammar functional.
Every system of grammar is composed of two parts, symbol sets for the correlative, and methods of recursively applying them, the relative. We are then effectively multiplying two times two in order to produce a set of grammars; You already know what they are, for they have names which have come down to us in history; Common Grammar, Arithmetic, Algebra and Geometry. Dividing by binary, we have three logical, which means the symbol sets are constructed relatively, and we have one analogical because it puts a one-to-one correspondence between the intelligible parts of a binary with the product of the grammar, which is Geometry,
Geometry is wholly metaphorical.
The result of a geometric expression is exact.
The output of a geometric figure is concurrent with the input, i.e., there is no relative difference between the product and the two elements of a thing.
Geometry, like every grammar, is known today as only the product of illiterates, just like every other system of grammar. If any grammar were a literate product today, it would show the binary pairing everyone is familiar with by the computer today, and as Plato tried to inform his readers.
Formal Geometry, what I have encyclopedic works on, is our Meta-Grammar which can proof everything in grammar.
Even though many so called scholars are being supported by illiterate people to find meta-grammar, I do not take them seriously, the first comedy ever written about simple minded grammarians was done by Plato, but dim wits did not get the joke. Cratylus. Nothing becomes known as a really good joke, until people are smart enough to get it.
So, if so called grammarians are too stupid to get the first part, then they are too stupid to comprehend any part of grammar. Nobody with the least bit of intelligence goes looking for the intelligible part of a grammar in dirt.