That ism (اِسْم, name) and samāʾ (سَمَاء, sky/heaven) share the same root — س-م-و (s-m-w) — is a striking clue about both the linguistic richness of the Quran and the trajectory of human thought. Because the root's core meaning is 'to rise, to elevate', to give a name to something can itself be read as a kind of mental elevation — placing the entity within a special set.

The Quran's use of samāʾ beyond a merely physical sky — as an expression of elevation and metaphysical depth — points back to the human's gift of naming and abstraction.

Two concepts arise from the same s-m-w root:

— Samāʾ (سَمَاء): elevation, that which is in the sky, the upper dimension.
— Ism (اِسْم): to point to a being while setting it apart from others, to 'elevate' or 'foreground' it in the mind.

This linguistic kinship suggests that giving a name is not merely a linguistic label, but a mental elevation, an act of abstraction and categorization. In modern terms: like placing every object called 'apple' into an abstract set representing the property of 'apple-ness'.

Sufi and theological approaches read the transformation of 'samāʾ' into multi-layered samāwāt — and the creation of angels as inhabitants of these heavens — as the seeds of the passage from 'unity' (jamʿ) to 'multiplicity' (farq), and as the individuation (taʿayyun) of being. The angels, 'created from light', preside over different ranks of existence and pass things through a kind of filter of differentiation (tafrīq) and naming.

The hadith 'al-samāʾu mawjun makfūf' (Aḥmad ibn Ḥanbal, Tirmidhī) implies that the sky was at first homogeneous and closed, then became layered. From this emerge the local distinctions of the universe — particles, interactions, numbers.

From a scientific angle, the differentiation of subatomic particles — which makes possible the counting '1, 2, 3…' of the material world — is itself a kind of process of tafrīq (differentiation). The concept of 'samāwāt' symbolizes this layered ramification — both physically and spiritually.

The name, like the heaven, is tied to elevation. Because the sky is high, the name too is the mark conferred on what is elevated, what is valued. Two handfuls of water taken from the ocean do not call for separate names — they are too alike to distinguish. But to give a thing a name is to set it apart, to define it. This points to the human's faculty of conceptualization. A name is an abstract, lasting representation of an observation in the external world — and demands memory and abstraction.

The Quran's account of the teaching of names to Adam can be read as the bestowal of the faculty of abstraction and modelling upon the human. By this gift the human is set on the path of knowing the cosmos, himself, and ultimately his Lord.

To call a certain fruit 'apple' is to make that fruit a member of the abstract set 'apple-ness'. Likewise in science, we re-present observed objects through models and concepts. When we put different iron atoms under the single class 'iron', we are abstracting their shared properties — naming them.

From this angle, the Quran underscores that the same power which prepared the earth (arḍ) for the human and shaped the sky into manifold layers also gifted the human with naming and modelling — opening the door of comprehending the cosmos. Abstraction and generalization can be read as a divine grant.

This descending–ascending cycle echoes throughout Quranic motifs — 'good speech ascends to the sky, and mercy descends from it'. Being rises to the sky through names; the sky descends to the earth as mercy and revelation. This continual exchange is mirrored in the human's own faculty of understanding.

The Quran of course does not speak of modern mathematics' set theory or category theory. Yet it is striking that the acts of abstraction and classification are a foundational logic in both religious-metaphysical narrative and mathematics. The following analogies aim to give only an analogical horizon:

Such analogies do not entail the claim that 'the Quran is in fact talking about category theory'. They rather highlight how central a role abstraction plays in both the spiritual and the scientific orientation of the human mind.

The concept of elevation intertwines across language (the Arabic s-m-w root), Quranic depiction (samāʾ, samāwāt, the most beautiful names of Allah), and the human's capacity for abstraction (the act of naming).

To give a name is not merely a linguistic act; in truth, it means 'to comprehend a being, to place it in a set and a category, to elevate it in the mind'.

The relation the Quran draws between samāʾ (sky, elevation) and arḍ (earth, base) — its references to angels, layers, and ascending–descending motion — joined with the human's modelling power, displays a cosmological and ontological wholeness.

Modern mathematics, with its methods of abstraction and classification (set theory, category theory), operates on a similar foundational logical infrastructure. This does not mean the two domains tell the same 'truth' — but they rest on shared rational processes (generalization, modelling).