This reasoning is equally valid, even though we suppose matter to be infinitely divisible.
There will be twelve times as many inches as feet, twelve times as many lines as inches, and twelve times as many points as lines; and this progression can never end, because the value of a line is infinitely divisible.
That Matter must either have a minimum of divisibility or be infinitely divisible, is more than we can ever know.
It proves, in short, that to pass through this finite space requires a time which is infinitely divisible, but not an infinite time; the confounding of which distinction Hobbes had already seen to be the gist of the fallacy.
The fallacy, as Hobbes hinted, lies in the tacit assumption that whatever is infinitely divisible is infinite; but the following solution (to the invention of which I have no claim) is more precise and satisfactory.
Infinity is possible only as a potentiality, for example, we may speak of a given length as infinitely divisible.
Neither magnitude, nor matter, nor time is continuous or infinitely divisible.
Further, magnitude is infinitely divisible, for the continuous is defined that which is infinitely divisible, as is clear from Phys.
He whose understanding is prepossessed with the doctrine of abstract general ideas may be persuaded that (whatever be thought of the ideas of sense) extension in abstract is infinitely divisible.
But if we admit that this line is infinitely divisible, and reflect upon this property of the line, the ground seems to sink from beneath our feet at once.
For more than two thousand years men have been aware that certain very grave difficulties seem to attach to the idea of motion, when we once admit that space is infinitely divisible.
He whose understanding is possessed with the doctrine of abstract general ideas may be persuaded that (whatever be thought of the ideas of sense) extension in abstract is infinitely divisible.
And whereas a line is infinitely divisible, the divisibility of a space of time is of the same nature; and as the divisions of the line may bear a certain proportion to each other, so may the divisions of time.
Only, when once the passage has been made, as the path is in space, and space is infinitely divisible, we picture to ourselves the movement itself as infinitely divisible.
We saw again, in dealing with measurement, how space must be regarded as infinitely divisible, and yet as mere relativity.
The above list will hopefully provide you with a few useful examples demonstrating the appropriate usage of "infinitely divisible" in a variety of sentences. We hope that you will now be able to make sentences using this group of words.
