Select Works of Plotinus · 540 of 752 · tr. Thomas Taylor
Select Works, Section 517 (part 2)
Doubtless the truth is that every quality performs its own function independently of a standard; for in no case could it produce an effect outside of its power.
Even beauty would seem to have a power of its own.
Does this apply to triangularity?
Perhaps, after all, it is not a power we must consider, but a disposition.
Thus, qualities will be determined by the forms and characteristics of the object qualified: their common element, then, will be Form and ideal type, imposed upon Substance and posterior to it.
But then, how do we account for the powers?
We may doubtless remark that even the natural boxer is so by being constituted in a particular way; similarly, with the man unable to box: to generalize, the quality is a characteristic non-essential.
Whatever is seen to apply alike to Being and to non-Being, as do heat and whiteness and colours generally, is either different from Being- is, for example, an Act of Being- or else is some secondary of Being, derived from it, contained in it, its image and likeness.
But if Quality is determined by formation and characteristic and Reason-Principle, how explain the various cases of powerlessness and deformity?
Doubtless we must think of Principles imperfectly present, as in the case of deformity.
And disease- how does that imply a Reason-Principle?
Here, no doubt, we must think of a principle disturbed, the Principle of health.
But it is not necessary that all qualities involve a Reason-Principle; it suffices that over and above the various kinds of disposition there exist a common element distinct from Substance, and it is what comes after the substance that constitutes Quality in an object.
But triangularity is a quality of that in which it is present; it is however no longer triangularity as such, but the triangularity present in that definite object and modified in proportion to its success in shaping that object.
Themes
◇Numerical Mysticismtheology
Numbers, proportions, and mathematical relationships as the underlying structure of divine reality.
[auto] The passage centrally debates the ontological status of numbers as independent substances and 'Quantity-Absolute,' treating mathematical relationships as fundamental realities rather than mere tools.
All passages →Related passages · 3 parallels
◆western_esoteric|Tertium Organum (P.D. Ouspensky)|Chapter XX (part 3)
“Mathematics, or the science of magnitudes, is that system which studies the quantitative relations between things; logic, or the science of concepts, is that system which studies the qualitative (categorical) relations between things.
Logi…”
Both passages discuss the nature and limitations of mathematics and logic, exploring how they are derived from observations of the phenomenal world and their applicability to different aspects of reality. They both highlight the conditional and subjective nature of these systems.
◆western_esoteric|Tertium Organum (P.D. Ouspensky)|Chapter XX (part 5)
“Consequently, the number of points in the cube, a 3 is equal to ∞ ∞∞ , this expression is equal to the expression ∞ ∞ and ∞, i.e., this means that an infinity continues to grow, remaining at the same time unchanged .
______ Thus in transfi…”
Both passages explore the nature of mathematical concepts and their applicability to reality. They challenge traditional axioms and argue for a deeper, more nuanced understanding of quantities and magnitudes, suggesting that conventional mathematics deals with artificial abstractions rather than real, dynamic magnitudes.
◆western_esoteric|Tertium Organum (P.D. Ouspensky)|Chapter XX (part 6)
“Were our space-sense more perfect in relation to any given object, say to the body of a given man, we could embrace all his life in time, from birth to death.
Then within the limits of this embrace that life would be for us a constant magn…”
Both passages explore the limitations of human perception and the nature of reality. Passage A discusses the imperfection of our three-dimensional perception and the abstraction of motion and time, while Passage B delves into the nature of quantity and the distinction between discrete and continuous magnitudes, both touching on the theme of the limitations of human understanding of fundamental concepts.