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Updated: May 6, 2025


Why, since he can put his life outside himself, should he not transfer one portion of it to one animal and another to another? The divisibility of life, or, to put it otherwise, the plurality of souls, is an idea suggested by many familiar facts, and has commended itself to philosophers like Plato, as well as to savages.

For I have been hitherto apt to think that the great and inextricable difficulties which perpetually involve all discourses concerning infinity, whether of space, duration, or divisibility, have been the certain marks of a defect in our ideas of infinity, and the disproportion the nature thereof has to the comprehension of our narrow capacities.

Within a fortnight two of the agents were arraigned before their respective churches for profane brawling, while Joe had squeezed certain agents into dividing commissions to the lowest unit of divisibility, and had several policies in the safe at the store. The Squire, his partner, was agent for the Pantagonian Mutual, and endured his full share of the general agony Joe had caused.

Infinite, according to Dennis, means "boundless, unlimited." Doctor Clarke thus describes it: he says, "The self-existent being must he a most simple, unchangeable incorruptible being; without parts, figure, motion, divisibility, or any other such properties as we find in matter.

No priestly dogmas, invented on purpose to tame and subdue the rebellious reason of mankind, ever shocked common sense more than the doctrine of the infinitive divisibility of extension, with its consequences; as they are pompously displayed by all geometricians and metaphysicians, with a kind of triumph and exultation.

This would be perfectly decisive, were there no medium betwixt the infinite divisibility of matter, and the non-entity of mathematical points. But there is evidently a medium, viz. the bestowing a colour or solidity on these points; and the absurdity of both the extremes is a demonstration of the truth and reality of this medium.

Schrotter after consideration, said: "Why do you separate a part of the eternal principle from itself?" "To make its unity manifold through divisibility, to arrive at the consciousness of the 'ego, through the creation of an absolute negation."

The divisibility of a body rests upon the divisibility of space, which is the condition of the possibility of the body as an extended whole. A body is consequently divisible to infinity, though it does not, for that reason, consist of an infinite number of parts.

Newton as well as Clarke thought the everlasting Being destitute of body, and consequently without parts, figure, motion, divisibility, or any other such properties as we find in matter ergo, they did not believe matter to be the eternal something; but if not matter, again we ask, what can it be?

The infinite divisibility of space implies that of time, as is evident from the nature of motion. If the latter, therefore, be impossible, the former must be equally so.

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