h***@public.gmane.org
2013-12-15 09:21:50 UTC
Hi DD,
I obviously can't be sure exactly what you're doing with CT, but unless you are holding back something that's huge, it's hard to see that this algebra focus is not way premature.
Constructors are a kind of concept, that sit with 'mechanism', 'method' and so on. They are containers...they have no substance in and of themselves. They have to be successfully worked to produce a something that is a powerful theory in its own right, first.
Any stage involving a math or algebra, has to come after that, because the whole point is that it embodies that fundamental theory, and thus transforms the other theories in a non-trivial way, into something that is more powerful.....a requirement wholly dependent on a pre-existing theoretical breakthrough.
Despite what you say, CT is intrinsically a methodological proposal, because the only way a math or an algebra could be applied to *anything* and yet progressively come to grips with it, and go on to make the successful transformation, is with a powerful process of analysis,...and *that* is inherently a methodological problem/solution.
CT is a very powerful intuition IMHO...I use something like it, also with translations at the heart. But it has to be worked until it produces discoveries in its own right. Some sort of common framework with pre-ordained philosophical rules laid on top, will not do it.
I obviously can't be sure exactly what you're doing with CT, but unless you are holding back something that's huge, it's hard to see that this algebra focus is not way premature.
Constructors are a kind of concept, that sit with 'mechanism', 'method' and so on. They are containers...they have no substance in and of themselves. They have to be successfully worked to produce a something that is a powerful theory in its own right, first.
Any stage involving a math or algebra, has to come after that, because the whole point is that it embodies that fundamental theory, and thus transforms the other theories in a non-trivial way, into something that is more powerful.....a requirement wholly dependent on a pre-existing theoretical breakthrough.
Despite what you say, CT is intrinsically a methodological proposal, because the only way a math or an algebra could be applied to *anything* and yet progressively come to grips with it, and go on to make the successful transformation, is with a powerful process of analysis,...and *that* is inherently a methodological problem/solution.
CT is a very powerful intuition IMHO...I use something like it, also with translations at the heart. But it has to be worked until it produces discoveries in its own right. Some sort of common framework with pre-ordained philosophical rules laid on top, will not do it.