A notion is a conceptualized idea, re: quantity, possibility, existence, etc., and for which no representation is given. Any judgement grounded on an idea, and from which a possible cognition follows, is entirely a priori, therefore not of necessary experiential derivation. If any mathematical judgement, as is any simple arithmetic expression from which applied mathematics arises, should manifest as cognition, a purely a priori conception must be antecedent to it, for it is quite impossible to express combinations of numbers in whatever form without the explicit incorporation of the pure conception of “quantity”. Simply put: if we don’t understand the idea of “one” and cognize it as a singular and therefore the simplest possible notion of quantity, we will never judge a multiplicity of “ones” in unity with themselves as having any meaning whatsoever.
If, on the other hand, by “manifest” is meant verified with objective validity, then experiential predication would be required. Nonetheless, the manifestation of judgement is primarily cognition, the possible proof of which lies in experience. — Mww
With regard to the former, we seem to be in alignment and thus are reflective of one another in that for which we had made conveyance at the time. The manner of sentiment in which there be ascribed truth unto that whereof certain conceptions((truth, falsity, quantity, existence, possibility and so forth)) pervade throughout thought and are those upon which the latter itself stands contingent, in all forms, with which it may manifest in potentiality independent of its appearance in the eye's of the subject((a priori)), we hold as destitute of all confliction in its every aspect amongst ourselves((a matter of consensus in that which it illustrates, as we ourselves regard it)). In the same course I sought to offer recognition merely of each, though had succumbed to failure in ensuring that it be of an extent of clarity, sufficient to facilitate greater apprehension of those with whom I spoke, than that for which either would be, were it otherwise.
The latter, insofar as it come to bear in consideration, I felt to be evident in such sense, on account of which I remained bound by no disinclination toward the prospect wherein it be expressed, as principle.
I suppose forms of conception can subsist, meaning continue or prevail, without being in attention to conscious thought. Depends on what one considers a form of conception to be. If by form is meant a kind of pattern, the question becomes whether there subsists a pattern to which conceptions adhere, or some criteria to which conceptions conform, which in turn begs the question: how do we know the form of conceptions without first having conceptions for them? I don’t know, but am inclined to let conceptions be merely the spontaneity of the understanding. — Mww
I had spoken of the matter in the sense of that which came to precede, since, and granted entailment for its own expression by means of the same. The criteria to which all must adhere serve merely to exemplify that which is the case, independent of the form with which it manifests and by virtue of the prior, its appearance as held in sight by the subject. I imagine the designation which it bore, as conferred through that toward which we had striven to act, to have semblance beyond that basis((with respect to that which I described in the past as 'conception'; beyond how it came to be termed on our own behalves as that alone would seem to be the catalyst for all dissimilarity having arisen therewith)). Attainment of resolve for which, can be granted without much further consideration.
The ego? If it be granted the human cognitive system is representational, and if ego as that which is presupposed by the act of thinking, such that all such thinking has that to which it necessarily belongs, it follows ego must have its representation. Reducing the systemic predicate far enough, we will end up with the ego determining its own representation, which defeats the lawfulness of the entire logical system. While I grant there must be a subject that exists thinking, in order to circumvent the inconsistencies intrinsic to “cogito, ergo sum”, which is at its final rest quite backward, it is sufficient to merely grant the subject without having to prove its fundamental constituency.
There exists the argument that the ego is represented by the “I”, which necessarily precedes all thought in general such that “I think” is given objective validity. It follows then, that a subject through whom thought can manifest, could be the “I”, without too serious a complication. Still, much closer examination will lead to self-contradictions, or at least the possibility of having no logical explanation, because we can always ask why such should be the case. — Mww
The sum of our every faculty constituted thereof can yield only series' of representations which are to be vindicated through the acuity with which the appearance of each stands to reflect upon that to which it would pertain. Yet, herein rests an intrinsic fault if one is to have hope to speak of the world as it is, truly, which is itself to lie in vain, inasmuch as one be bound by the requisite for such faculties of mind to discern either. Therefrom would follow the sentiment in which none can garner apprehension of what bears truth as separate from that which is beheld as an object of inquiry, and perceived thusly. One can draw inference, then, if such is predicated by the experiential, as seen through the same lens, that none can offer with even the faintest sense of veracity, and rightful belief, attestation of the world as it proceeds forth despite, in indifference of the subject should the latter be accounted for in either manner of judgement.
I suppose there may arise therewith an instance of necessity if each be truthful; that one must predicate all forms of consideration, and every aspect residing therein, as conferred solely by means of the subject, as exempt itself from furtherance of such a course in inquiry; an axiomatic condition((the subject)).
For further discussion on the matter of the final, see the following; if you haven't done the same, before, of which I remain doubtful((as it is evident to me that you are far more perceptive than most of those whom I have hitherto encountered)).
https://en.m.wikipedia.org/wiki/Regress_argument
This particular theoretical speculation is logically consistent, hence there is no contradiction. That is not to say another theory, grounded in other hypotheticals or conditionals would not falsify it. But as it stands, and given the premises that support it, in which it is given that there is a proverbial bottom line to such speculation from which no further truth be forthcoming, self-contradiction is averted. In other words, the truth is in and of the speculation itself, and no attempt is made by it to subsidize truth as a stand-alone entity.
Am I to understand it is your position that understanding has no boundaries? If by chance my position is contradictory, what means would you suggest to mitigate the conditions which suggest it? — Mww
If resolve is to be attained for that sake, in its contradiction, one need only concede to that of the principle, the condition, which permits all forms of reason to be exercised such that it have entrenchment in inquiry of itself as a matter of thought; to discern its own nature rather, than espouse, and abide by prohibition of each as you had done, it seemed to me. Though, if it be the case, that what I have sought to profess, as it lies in pertainment to that of your own, had in truth been misconstrued on my part, I shall offer concession in argument, instead.
Am I to understand it is your position that understanding has no boundaries? If by chance my position is contradictory, what means would you suggest to mitigate the conditions((see the prior segment of my exposition))which suggest it? — Mww
My position at present is one for consideration of the boundaries which serve to constrain yet inhere within the breadth of all understanding((to inclusion of the world not merely in its appearance)), and as to how either can be differentiated((if there be such distinctions in any truthful sense)) from those which are synthetic in nature. As attributive to thought yielded by the subject, rather than of the fundamental conceptions((quantity, possibility, change, time, space, truth, falsity, etcetera)) which subsist, despite absence of the aforementioned((subject)) and which are transcendental with regard to the myriad object's whereof each may arise((all that constitutes the world)).
For the sake of brevity; all manner of understanding is bound((as I speak of it)), in contrast with that of an array of certain conceptions((the same as before)) on which it is predicated in full, which needn't themselves be grounded in the experiential as each must be held distinctly, a priori, independent of whether either be conceived, beforehand((and are thus in a discrete sense, boundless;transcendent(al?).
I believe that which came to precede, as offering illustration of such principle, and its necessity, with the utmost clearness((what you felt it prudent to demonstrate earlier on, and an intent upon which you had acted in the end, with respect to the notion of 'quantity')).