[B]ecause that which is finite is always bounded with reference to something... it is necessary that there should be no end... [N]umber also appears to be infinite, and mathematical magnitudes, and that which is beyond the heavens. And since that which is beyond is infinite, body also appears to be infinite, and it would seem that there are infinite worlds; for why is there rather void here than there? ...If also there is a vacuum, and an infinite place, it is necessary that there should be an infinite body: for in things which have a perpetual subsistence, capacity differs nothing from being. The speculation of the infinite is, however, attended with doubt: for many impossibilities happen both to those who do not admit that it has a subsistence, and to those who do. ...It is ...especially the province of a natural philosopher to consider if there be a sensible infinite magnitude. (Aristotle)

[B]ecause that which is finite is always bounded with reference to something... it is necessary that there should be no end... [N]umber also appears to be infinite, and mathematical magnitudes, and that which is beyond the heavens. And since that which is beyond is infinite, body also appears to be infinite, and it would seem that there are infinite worlds; for why is there rather void here than there? ...If also there is a vacuum, and an infinite place, it is necessary that there should be an infinite body: for in things which have a perpetual subsistence, capacity differs nothing from being. The speculation of the infinite is, however, attended with doubt: for many impossibilities happen both to those who do not admit that it has a subsistence, and to those who do. ...It is ...especially the province of a natural philosopher to consider if there be a sensible infinite magnitude.

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beyond body capacity doubt end infinite magnitude natural necessary nothing perpetual philosopher place province reference sensible should something speculation subsistence umber vacuum void things heavens worlds

Related quotes

In art, origin and value cannot be treated as independent. Those who enjoy poetry and painting must be at least dimly aware of a poet beyond the poem and a painter beyond the picture. If by some unimaginable process works of beauty could be produced by machinery, as a symmetrical colour pattern is produced by a kaleidoscope, we might think them beautiful till we knew their origin, after which we should be rather disposed to describe them as ingenious. And this is not, I think, because we are unable to estimate works of art as they are in themselves, not because we must needs buttress up our opinions by extraneous and irrevelant considerations; but rather because a work of art requires an artist. not merely in the order of natural causation, but as a matter of a-sthetie necessity. It conveys a message which is valueless to the recipient, unless it be understood by the sender. It must be expressive.

Arthur Balfour

This view that the action of the Federal Reserve authorities in 1927 was responsible for the speculation and collapse which followed has never been seriously shaken. There are reasons why it is attractive. It is simple, and it exonerates both the American people and the economic system from substantial blame... Yet the explanation obviously assumes that people will always speculate if only they can get the money to finance it. Nothing could be farther from the case. There were times before and there has been long periods since when credit was plentiful and cheap -- far cheaper than in 1927-29 -- and when speculation was negligible. Nor was speculation out of control after 1927, except that it was beyond the reach of men who did not want in the least to control it. The explanation is a tribute only to a recurrent preference, in economic matters, for formidable nonsense.

John Kenneth Galbraith

What becomes of human free will and agency? ...it seems to me to involve one of the most admirable laws of conservation in nature-a law which presents a new proof of the wisdom of the Creator... It is necessary, then, to admit that free-will exercises itself within indefinite limits, if one wishes not to incur the reproach of denying it altogether. But, with all the follies which have passed through the head of man, with all the perverse inclinations which have desolated society, what would have become of our race during so many past ages? All these scourges have passed by, and neither man nor his faculties have undergone sensible alterations, as far at least as our observations can determine. This is because the same finger which has fixed limits to the sea, has set similar bounds to the passions of men-because the same voice has said to both, "Hitherto shalt thou come, and no farther!"

Adolphe Quetelet

Mature cognitions of folkpsychology and agency include metarepresentation. This involves the ability to track and build a notion of self over time, to model other minds and worlds, and to represent beliefs about the actual world as being true or false. It also makes lying and deception possible. This threatens any social order. But this same metarepresentational capacity provides the hope and promise of open-ended solutions to problems of moral relativity. It does so by enabling people to conjure up counterintuitive supernatural worlds that cannot be verified or falsified, either logically or empirically. Religious beliefs minimally violate ordinary intuitions about the world, with its inescapable problems, such as death. This frees people to imagine minimally impossible worlds that seem to solve existential dilemmas, including death and deception.

Scott Atran

Rawls resorted to Hegel in his internal reflections on a constitutional state. On the plane of inter-state relations, Kant remained his philosopher of reference, as the theorist of conditions for a perpetual peace. So too for Habermas. But since Kant failed to envisage the necessary legal framework for a cosmopolitan order, as it started to take shape through the permanent institutions of the United Nations, Habermas, when he came to review the progress made since 1945, also looked towards the philosopher of objective idealism. Measured against the sombre background of the disasters of the first half of the twentieth century, he decided, ‘the World Spirit, as Hegel would have put it, has lurched forward'. As we have seen, Bobbio was responsible for the most pointed appeal to Hegel of all. In one sense, he was more entitled to do so.

Perry Anderson