LessonsThe Indivisible Atom: Arguments, Infinite Division and ObjectionsQuiz

An actual line is taken as an existent, determinate extension. A potential or postulated line can be marked out within a geometrical analysis without requiring an already separate material component.

This distinction is used against the sphere proof: a geometric boundary of contact does not automatically amount to a collection of independently existing actual substances.

Potential divisibility, an accomplished division, and already constituted independent parts are three separate propositions.

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An actual line versus a possible line

The Indivisible Atom: Arguments, Infinite Division and Objections

An actual line is taken as an existent, determinate extension. A potential or postulated line can be marked out within a geometrical analysis without requiring an already separate material component.

This distinction is used against the sphere proof: a geometric boundary of contact does not automatically amount to a collection of independently existing actual substances.

Potential divisibility, an accomplished division, and already constituted independent parts are three separate propositions.