Continuity

Hegel (Logic of Being, moment of pure quantity)

Continuity is pure quantity as flowing, uninterrupted coherence. It is indivisible, homogeneous, without discrete units — pure extension. Example: the number line as a continuum (between two numbers there is always another). Continuity and discreteness are the double structure of quantity: the continuous contains the discrete (is divisible), the discrete presupposes continuity (units touch). The mathematical problem of the continuum: is the line made of points? Hegel: the continuum is the processual unity of these moments.

Origin

Lat. *continuus* (coherent). Aristotle: *synechÄ“s* (continuous) vs. *diÅrismenon* (bounded). Zeno: paradoxes of the continuum (Achilles and the tortoise). Cantor: mathematical theory of the continuum. Hegel: continuity as a logical category, not a mathematical problem.

In Hegel

Enc. §100; SL Vol. 1, Quantity

Cross-references

Discreteness · Quantity · Quantum · Measure · Doctrine of Being