But remember, I use "vague" and "potential" in a different way from you. — Metaphysician Undercover
Remember that Peirce in fact defined vagueness as that to which the PNC fails to apply. So that is the definition in contention, not something else you might make up for yourself.
It is conditional on the nature of time, Time is passing, and because time is passing, there is a future. — Metaphysician Undercover
That then gets into the metaphysical issue of how existence - the essential elements of time, space and energy - could be created.
Now of course you can argue for the alternative - that existence is simply uncreated and eternal as some sort of always definite brute fact. It doesn't satisfy logically. But that is the other point of view.
However Peirce is very clearly asking the question of how existence could develop. And a logic of vagueness is his answer. And he says without equivocation that Firstness - being vague undifferentiated potential, pure quality without yet quantification - is generative of time and thus essentially timeless. So time (and space, and energy) only properly
exist as Secondness.
If you want to talk about time in Firstness, it is by definition vague temporality, the potential for an unfolding temporal progression.
And then modern Big Bang cosmology and tentative quantum gravity modelling takes the same view of time. Time as something historically definite to order events is going to have to be emergent. The Universe did not arise in time. It was the birth of time - as we conventionally or classically understand it.
his allows you to posit a "beginning" point where there is no past, only future, such that the potential of the future is unconstrained by any past. But this proposition is unjustified and incoherent, because unless time is passing, the claim of a future or a past is unsupported, not grounded at all. So your proposal of a point of infinite vagueness, pure potential, as a beginning, before time starts passing, is completely incoherent. — Metaphysician Undercover
Sure, I see that you will forever deny the logic of Peirce's position, or that modern physics might say the same thing.
But it is a coherent argument. Or at least it IS an argument ... unlike the brute fact approach taken be eternalism and "uncaused existence".
In fact the brute fact approach is worse than just lacking in a rational basis for its belief. It flies in the face of the overwhelming evidence for the Big Bang now, and the matching understanding in physics that time has to become an emergent feature of a successfully unified theory of quantum mechanics and general relativity.
When the state has neither A nor not-A present, we can clearly make the valid claim that there is not both A and not-A present, so there is no need for the claim that the PNC does not apply. — Metaphysician Undercover
Again, just deal with the argument that Peirce actually makes. Vagueness is defined by the failure of the PNC. Generality is defined by the failure of the LEM.
So the vague is where it simply isn't clear what is the case. You can't what is going on and so there is no way to tell if it is contradictory or not. And generality is then where you can crisply tell what is going on, but being completely general, it is not doing any excluding. Everything within its purview is included.
Then the next bit of the argument here is the dichotomy - the developmental story of how the divisions of nature arise in a way that understands them also as a unity of opposites.
So you have a starting and stopping point - vagueness and generality, or Firstness and Thirdness - and then you need the third thing of the interaction that produce the developmental outcome
Logically then - to the degree one believes the dialectic, or dichotomy, or apokrisis, or symmetry breaking is how development happens - this is the reason why the vague has to "contain within it" the possibility of whatever metaphysical-strength dichotomy is then observed to emerge. And equally, generality has to be able to absorb this dichotomy as its unity of opposite.
Because you are so busy trying to force a scholastic reading of Aristotle on this Peircean developmental ontology, you keep missing the target. And even missing the degree to which Aristotle was arguing the same story in many places.
As usual, you have things backward again. The terms "genus" and "species" refer to the degrees of human understanding, they refer to concepts. Within the conceptual realm, the more specific "begets" the more general, as Aristotle explained, we move from the more well known, the particular, toward the lesser known, the more general. — Metaphysician Undercover
A hierarchical relation is transitive. It works both ways. That is basic to a systems view - the belief in the reality of both top-down formal/final causality and bottom-up material/efficient causality.
So constraints and degrees of freedom. The whole shapes the parts. The parts compose the whole. You have a developmental ontology ... because this is the basic dichotomy that brings anything, including most especially the Cosmos, into crisp and hierarchically-organised being.
Again, how many times must I tell you? This is unconditionally false. Aristotle proved that the idea that "there must be an underlying 'prime matter' that is eternal and imperishable" is absolutely false. He demonstrates that anything eternal must be actual, that's why he posits eternal circular motions. — Metaphysician Undercover
You are just imposing your scholastic version on things as usual. Aristotle - or the way his writings were collated several centuries later - may have seemed to contradict himself at points. But it seems clear enough to me that he was forced towards a hylomorphic duality of prime matter and prime mover as that just is the right developmental/systems logic.
Sure, you need the "eternal mathematic forms" as the ultimate constraints on material action. They somehow do stand outside time - as future finality. But rather than being active drivers of that action (in the way genes organise a body, or intentions organise our behaviour), they are simply passively emergent regulatory principles when we are talking about physics, or the generic Cosmos.
There is a lack of choice - in contrast to the production of choices that define life and mind. So the maths that forms our Universe has the quality of necessity. They certainly fix the inevitable outcomes even before anything has started to happen. But they are not active in the actualisation of those outcomes. They are simply the necessary outcomes that even the most chaotic, free and "choice-endowed" play of material action must in the long run discover.
Then we can understand prime matter as dichotomous to that. It becomes the chaotic starting point - a state that is undifferentiated in being also utterly differentiated. Pure contingency lacking in any habits. A continuity of spontaneity - action that lacks any form.
Or better yet, we can understand it as a vagueness. That removes any lingering notion of "matter" -
substantiality - from the discussion. We can now see that Firstness is just the potential for matter and form. All the apparent contradictions are absorbed by making substantial being fully emergent via the logical machinery of dichotomisation.
There are two distinct forms of the law of identity. — Metaphysician Undercover
Great. Perhaps you can provide a citation on this point ... if you are suggesting it is based on established authority and not something you've dreamt up on the spot.
That is an irrational, unintelligible approach. — Metaphysician Undercover
Funny. That's how maths approaches irrational numbers. It is how they know they are real.
When I suggested that the Planck scale limitations are created by the theories which are applied, you said no, the theory doesn't manifest the observables. Then you went right on to the claim that reality is observer created. When it supports your argument one rule applies, but when it supports mine, the opposite of that rule applies. — Metaphysician Undercover
You are mixing epistemology and ontology. Epistemically, we humans - as observers - produce both the theories and the acts of measurement. Ontically, in an "observer-created existence", the theory wouldn't be a free choice but simply the way the reality actually is structured as a state of constraint. The observations would be then "acts of measurement" - as in actual wave function collapse.