What is meant by Constructability?
Posted: Wed Nov 26, 2025 8:18 pm
What is meant by Constructability?
What does it mean to be a true geometric construction? This has been argued for centuries, even though, if one were putting two and two together, it is easy to learn to understand.
Grammar is how we use binary recursion to manage information, virtually. In short, there is a binary distinction between the perceptible and intelligible, which is intelligence.
Language is Universal and Intelligible. Grammar is Particular and Perceptible. Therefore, what we can do in our grammar systems reflect our intelligence.
Our binary affords us two types of identity, each having a number of name pairs such as literal and metaphorical, arithmetic and geometric, exact and proportional, etc. Try to always keep this in mind.
Using a real or virtual straightedge construct a line.
That line is a binary thing, it therefore examples both types of identity, neither of those two are the other. What we call a loci, the line, is just another name for one and the same identity with one of the two parts of speech, i.e., the relative, the metaphor. The very first thing you can create in geometry is an admission and demonstration of both types of identity. So, you can use the word loci or you can call it a ratio, or a verb, but you cannot claim that it is not fundamental to every grammar, or even as memory itself.
The point is the moment, between points is time, etc.
With today’s interactive geometry we can take full advantage of memory, called the loci, the wave, etc. but you cannot say, that a straightedge and compass limits binary recursion as has traditionally been the case with the illiterate.
As soon as you admit a unit of discourse, you have tacitly, if not explicitly admitted the universe of discourse. That is how I solved so many so-called impossible things and demonstrated them, in geometry. Not by doing the impossible, but by using what is already given and always have been.
Many so-called grammars, mathematics, have been based on the lack of recognition, the lack of recursion, required for a grammar, such as trigonometry, calculus, predicate calculus, etc. that one would be hard pressed to name them all, they spring up like weeds in a garden.
What does it mean to be a true geometric construction? This has been argued for centuries, even though, if one were putting two and two together, it is easy to learn to understand.
Grammar is how we use binary recursion to manage information, virtually. In short, there is a binary distinction between the perceptible and intelligible, which is intelligence.
Language is Universal and Intelligible. Grammar is Particular and Perceptible. Therefore, what we can do in our grammar systems reflect our intelligence.
Our binary affords us two types of identity, each having a number of name pairs such as literal and metaphorical, arithmetic and geometric, exact and proportional, etc. Try to always keep this in mind.
Using a real or virtual straightedge construct a line.
That line is a binary thing, it therefore examples both types of identity, neither of those two are the other. What we call a loci, the line, is just another name for one and the same identity with one of the two parts of speech, i.e., the relative, the metaphor. The very first thing you can create in geometry is an admission and demonstration of both types of identity. So, you can use the word loci or you can call it a ratio, or a verb, but you cannot claim that it is not fundamental to every grammar, or even as memory itself.
The point is the moment, between points is time, etc.
With today’s interactive geometry we can take full advantage of memory, called the loci, the wave, etc. but you cannot say, that a straightedge and compass limits binary recursion as has traditionally been the case with the illiterate.
As soon as you admit a unit of discourse, you have tacitly, if not explicitly admitted the universe of discourse. That is how I solved so many so-called impossible things and demonstrated them, in geometry. Not by doing the impossible, but by using what is already given and always have been.
Many so-called grammars, mathematics, have been based on the lack of recognition, the lack of recursion, required for a grammar, such as trigonometry, calculus, predicate calculus, etc. that one would be hard pressed to name them all, they spring up like weeds in a garden.