a selection from a math reading

"here i want you to note how, if a line is resolved and divided into parts that are quantified and consequently numbered, we cannot then arrange these into a greater extension than that which they occupied when they were continuous and joined, without the interposition of as many void [finite] spaces. but imagining the line resolved into unquantifiable parts - that is, into its infinitely many indivisibles - we can conceive it immensely expanded without the interposition of any quantified void spaces, though not without infinitely many indivisible voids.

what is thus said of simple lines is to be understood also of surfaces and of solid bodies, considering those as composed of infinitely many unquantifiable atoms; for when we wish to divide them into quantifiable parts, doubtless we cannot arrange those in a larger space than that originally occupied by the solid unless quantified voids are interposed - void, i mean, at least of the material of the solid. but if we take the highest and ultimate resolution [of surfaces and bodies] into the prime components, unquantifiable and infinitely many, then we can conceive such components as being expanded into immense space without the interposition of any quantified void spaces, but only of infinitely many unquantifiable voids."

-galileo galilei two new sciences