Magnitude

Magnitude enters the depth-psychology corpus not as a simple metric but as a philosophically charged category traversing ontology, cosmology, and the theory of matter. In Plotinus, the dominant voice, Magnitude functions at two irreducible registers: the Ideal Magnitude belonging to each Form in the Intelligible Realm, and the derivative extension that irradiates Matter, compelling it to assume spatial bulk. This Neoplatonic treatment insists that material magnitude arises from non-Magnitude — from a Primal whose name we borrow — situating extension as an intermediary between bare underlier and Pure Idea. The Hellenistic tradition, represented by Long and Sedley, presses the Epicurean counter-argument: finite magnitudes cannot contain infinitely many traversable parts, yielding the doctrine of minimal atomic units. Plato's Timaeus situates magnitude within geometrical proportion and the construction of the primary bodies, while the Laws treats numerical order and commensurability as foundations of civic and educational life. Aristotle's De Anima engages magnitude obliquely when denying that soul, as a definite magnitude, could account for unified sensation — a line Plotinus extends with force. Simondon introduces magnitude in its plural, scalar sense: individuation requires the absence of communication between orders of magnitude, communication across which constitutes amplifying mediation. Across these traditions, magnitude marks the threshold where the immeasurable ideal becomes measurable actuality.

In the library

The Magnitude inherent in each Ideal-Principle combines with Magnitude the Absolute with the result that, irradiated by that Absolute, Matter entire takes Magnitude and every particle of it becomes a mass

Plotinus argues that material extension derives from the Ideal Magnitude inherent in each Form, which, combining with Absolute Magnitude, compels undetermined Matter to assume spatial bulk.

Plotinus, The Six Enneads, 270thesis

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A finite magnitude does not even contain infinitely many parts... there is an absolute minimal unit of magnitude, 'the minimum in the atom'. All larger magnitudes, including atoms themselves, consist of a finite number of these minima.

The Epicurean tradition, via Zeno's arguments, establishes that any finite magnitude must be composed of a finite number of irreducible minima, precluding infinite divisibility or traversal.

A.A. Long and D.N. Sedley, The Hellenistic Philosophers, 1987thesis

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geometry is concerned not with magnitudes but with Quality. But this conclusion is untenable; geometry is the study of magnitudes. The differences of magnitudes do not eliminate the existence of magnitudes as such

Plotinus defends magnitude as an autonomous category of Quantity against the reduction of geometrical objects to mere Quality, insisting that differences among magnitudes presuppose magnitudes as such.

Plotinus, The Six Enneads, 270thesis

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if a thing of magnitude on diminution retains its identity in virtue of its quality, this is only saying that bodily and quantitatively it is different even if its identity consists in a quality quite independent of quantity

Plotinus argues that soul cannot be a corporeal magnitude because any genuine magnitude would lose or alter its identity upon division, whereas soul remains wholly present at every point.

Plotinus, The Six Enneads, 270thesis

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body is a magnitude, and the parts of every magnitude are distinct parts; therefore we need, as the sentient, something of a nature to be identical to itself at any and every spot

Plotinus deploys the discrete character of magnitude to demonstrate that sensation requires a non-bodily principle, since no spatial part of a magnitude can be identical with another.

Plotinus, The Six Enneads, 270thesis

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it supposes an absence of communication between several orders of magnitude; individuation intervenes as an amplifying mediation through a becoming

Simondon identifies the condition of individuation as the initial separation of orders of magnitude, with the individuating event constituting a communicative, amplifying mediation across those orders.

Simondon, Gilbert, Individuation in Light of Notions of Form and Information, 2020thesis

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without Matter how could things stand in their mass and magnitude? Neither can they be that Primal Matter, for they are not indestructible. They must, therefore, consist of Matter and Form-Idea

Plotinus argues that sensible composites require Matter precisely to account for their mass and magnitude, since Form alone cannot provide extension while Primal Matter alone cannot account for destructibility.

Plotinus, The Six Enneads, 270supporting

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The pulp has been expanded by the addition: that is to say it has received magnitude from the incoming substance

In analyzing mixture, Plotinus uses the expansion of volume as evidence that the incoming substance contributes genuine magnitude, not merely quality, to the recipient body.

Plotinus, The Six Enneads, 270supporting

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magnitudes of one colour and unbroken form trick the sense of quantity: the vision can no longer estimate by the particular; it slips away, not finding the stand-by of the difference between part and part

Plotinus examines how perceptual estimation of magnitude fails when qualitative uniformity deprives the eye of internal differentiation by which to measure extension.

Plotinus, The Six Enneads, 270supporting

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an object is great in itself, and its greatness is due, not to any external, but to its own participation in the Absolute Great

Plotinus maintains that quantitative greatness is not a relative predicate but reflects a thing's participation in Absolute Magnitude, paralleling beauty's participation in the Absolute Beautiful.

Plotinus, The Six Enneads, 270supporting

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the Mind, putting aside all attributes perceptible to sense- all that corresponds to light- comes upon a residuum which it cannot bring under determination: it is thus in the state of the eye which, when directed towards darkness, has become in some way identical with the object of its spurious vision

Plotinus describes Matter's apprehension as a vision of the sizeless — of the absence of magnitude — characterizing indeterminate Matter as that which resists all form including extension.

Plotinus, The Six Enneads, 270supporting

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length is naturally commensurable with length, and breadth with breadth, and depth in like manner with depth... if some things are commensurable and others wholly incommensurable, and you think that all things are commensurable, what is your position in regard to them?

Plato foregrounds the problem of incommensurability among dimensions of magnitude as a foundational embarrassment for those who assume universal measurability.

Plato, Laws, -348supporting

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The square has the power of 'swelling itself out' into the cube- the first body reached in the above progressions

The Timaeus commentary traces how geometric magnitude progresses from line through plane to solid body via the self-generative power of number, grounding cosmological extension in arithmetic proportion.

Plato, Plato's cosmology the Timaeus of Plato, 1997supporting

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if the soul naturally partakes in movement, it follows that it must have a place. Further, if there be a movement natural to it

Aristotle's argument that a self-moving soul would require a place implicates magnitude, since place-bound entities are necessarily extended — a premise Plotinus will later contest.

Aristotle, On the Soul (De Anima), -350supporting

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arithmetic has a very great and elevating effect, compelling the soul to reason about abstract number, and rebelling against the introduction of visible or tangible objects into the argument

Plato's Socrates positions arithmetic as the discipline that frees the soul from dependence on sensible magnitude, treating abstract number as the proper object of philosophical reasoning.

Plato, Republic, -380aside

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Being so, it is outside of Time. Time in its ceaseless onward sliding produces parted interval; Eternity stands in identity, pre-eminent, vaster by unending power than Time with all the vastness of its seeming progress

Plotinus contrasts the infinity of Eternity's power — a non-spatial magnitude — with the seemingly infinite but derivative extension of temporal duration.

Plotinus, The Six Enneads, 270aside

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