Abstraction – Musings & Metaphysics

Once I got passed the extremely subtle style of Aristotle’s demonstrations, the complex web of elements composing a proposition, and perceiving the entire treatise as being divided into four main parts, a question arose in my soul: “Why are there no universally converted affirmative universals?” I attempted to abstract the idea in my mind. It is difficult to explain what exactly I was seeing, for it wasn’t necessarily tied to any known natural dianoetic conception, but the image I got seemed to be a reduction to a single point, upon which there was simultaneous convergence, and divergence from which the entire fabric of reality flowed into, and out of.

In this painfully abstract image, I noticed something: it was not symmetrical, but asymmetrical. For it seemed that what is universal can only regress to something more universal, and likewise whatever is particular can only progress to something more particular. This seemed to be simply the way things are. I abstracted further, “Then what would symmetrical look like with this image?” I attempted to assert the condition in my mind, and whatever fabric of reality I was seeing, seemingly flatlined, immediately subverted, and then there was nothing. I didn’t know exactly what to interpret from this at first, but after pondering on it, the answer seemed to come up from the depths of my soul, I took it to the tutor: “Asymmetry allows for potency.” The tutor replied: “This asymmetry is important because it preserves the logical potency and prevents contradictions. If universal affirmatives converted universally, it would collapse distinctions between categories and make reasoning unreliable. In short, the lack of universal conversion of universal affirmatives allows for logical structure and potency by maintaining asymmetry in predication, which aligns with Aristotle’s syllogistic framework.”

So, I have learned that universal propositions seem to scale and model the logical deduction of predications that exist with what is, and the rational soul, with reasoning, through Aristotle, now has a way to coherently express these in proposition, with precision.

EAR

Aristotle, Prior Analytics, Book I, Chapter 2.

The content presented in this lesson was fairly difficult, but straightforward; however, the implications of what was being said, with regards of nuanced additions to verbs, was extremely subtle, perhaps too deep, and fine, at this point for me to abstract on with any hope of staying rooted to reality. I suppose it will become clearer in the next few chapters, maybe more examples, and demonstrations, will be provided. We’ll see.

Firstly, this jumped out at me from Aristotle, “In a similar manner of this [enunciation] it is necessary to be, the negation is not this, it is necessary not to be, [the negation] is this, it is not necessary not to be.” I asked myself, and the tutor, “Why is this different from the rule that affirmations and negations center around the verb, with the subject’s positive or negative condition? Why is this different from the other enunciations? Is it because if something is ‘to be’, then it was by necessary causes? Likewise, if it was ‘not to be’, then it was not necessary for any prior causes to generate what never existed in the first place?”

The tutor explained that my interpretation was in line with Aristotle, but qualified it further, “‘Necessary’ in the absolute sense is connected to prior causality… Conversely, ‘necessary not to be’ would indicate absolute impossibility or absence of prior causality for existence… Between these extremes lies contingency, which Aristotle expresses logically as ‘not necessary not to be.’ Contingent things are neither necessarily existent nor necessarily non-existent.”

So, I am now perceiving the past and present conditions as being necessary; and what is not necessary, as being open to the future. I don’t fully understand what this all means, it’s like seeing an island on the horizon while out at sea; but, not seeing that island up close, in full focus, and with full understanding of what it is that you are looking at.

EAR

Aristotle, On Interpretation, Chapter 12.

Tag: Abstraction

Asymmetry.

“It is not necessary not to be.”