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Post by xxxxxxxxx on Nov 7, 2020 19:56:16 GMT
1. We are only certain of progressive change. This change manifests itself as the progression of one self evident truth to another: A -> B -> C...
2. This progressive change observes a linear continuum, as one self evident truth progresses to another.
3. This linear continuum, as progressive axioms, is constant in both an abstract sense and empirical time (ie one particle moving from one position to another always has a straight line between points even if the pattern is zig zagging.).
4. This linear continuum observes form and function as the same thing. So while we may have variously changing self evident truths, these truths exist recursively under a single platonic form.
5. Each change effectively is composed on infinite immeasurable changes (ie zeno paradox or a line composed of infinite lines) this necessitating infinite change as indefinite change or "no change.
6. Change is that the observation of multiple parts. For example one picture inverting to another picture observes static pictures but the perceived movement only occurs because of the multitude of pictures. Change is thus grounded in the inversion of one phenomenon into many. One picture into another, the position of one particle into another position, one emotion into another emotion, etc.
7. Change and no change, using a line as an example, is assumed through form alone. It is the dualism between one and many forms that allows change and no change to be observed. However this dualism is synthesized under the "form" itself as a "boundary of movement".
8. This can be observed through the platonic forms as consisting of many forms or the process of actualization, in aristotelian thought, as matter existing through form where potentiality (ie mass) exists through form as movement.
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Post by karl on Nov 7, 2020 20:04:49 GMT
How is "self-evident" defined within this context?
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Post by Eugene 2.0 on Nov 7, 2020 20:32:02 GMT
1. Agree, if I got it correctly: Me, myself, is a part of process, not the whole process. (An infant Eugene = a teenage Eugene = ... = an old timer Eugene, and each of them or all of them - is only a part.)
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Post by Eugene 2.0 on Nov 7, 2020 20:34:39 GMT
2. If an example of ages is correct, then "A Teenage Eugene" as just a certain piece of change is self-evident true, and, in turn, each next will be hold the same principle.
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Post by Eugene 2.0 on Nov 7, 2020 20:43:35 GMT
3. I'd better say sequenced or chained, than linear. An N axiom in a group of axioms, and a N+K axiom from the same group may be chained as well as N axiom with N+1 axiom. As a progression the change continuum has the endless changes within its ranges (xi...xn), and at the same time axiomatisation allows us to take as N numbers of formulations as ∞ numbers of them.
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Post by Eugene 2.0 on Nov 7, 2020 20:48:58 GMT
4. f(g(h...(x)...))... = e(x), when it might be that e(x) = df f(g(h...(x)...))...
As e(x) is the eidos, then it seems to be true.
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Post by Eugene 2.0 on Nov 7, 2020 20:53:53 GMT
5. Well, the progression is supposed to be that has its "movement" by definition. Further and further axiomatisation is a process.
At the same time, when such a progression occurs we start problematizing it more and more – are there any changes? And yes "change" start disappearing in this endless process, while not a movement (or a component of it).
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Post by Eugene 2.0 on Nov 7, 2020 20:58:31 GMT
6. Either several inversions, or, perhaps, the endless series of it: for each next set of images we need to... lets call it rotating process... rotate them. So, there are more, than a Cartesian product of all pairs, and triplets, quads... but a product of each next result of it.
If form and a function are the same, then to perform the former we have to use the latter, and the latter is rotation (in this case).
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Post by Eugene 2.0 on Nov 7, 2020 21:06:54 GMT
7. Do agree. It reminds me Nicolas of Cusa's "On Seeking God" (1445), when to say that: a. God exists; - is true, while, it's not true, and to say that b. God doesn't exist; - is true, while, it's not true, but: c. God exists and God doesn't exist; - is true, while it's not true, and: d. It's not true that (God exists and God doesn't exist); - is true, but it's not true at the same time. And, a+b+c+d is both true and not true, however, it is true, while it is not.
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Post by Eugene 2.0 on Nov 7, 2020 21:11:48 GMT
8. I think it's closer to Aristotelian, because Plato's eidos, following Popper's speculations about it, was rather to not move, and all the moves were sense fakes.
If Popper is wrong here, well it may be different. But Plato definitely didn't love to allow a third idea exists for each twos.
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Post by xxxxxxxxx on Nov 8, 2020 1:40:31 GMT
How is "self-evident" defined within this context? That which exists through a given form which can be assumed.
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Post by xxxxxxxxx on Nov 11, 2020 19:55:50 GMT
Z
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