With regard to philosophical metaphysics, I always see increasing numbers who have attained to the negative goal, but as yet few who climb a few rungs backwards; one ought to look out, perhaps, over the last steps of the ladder, but not try to stand upon them.
In this world one must have a name; it prevents confusion, even when it does not establish identity. Some, though, are known by numbers, which also seem inadequate distinctions.
The number of those endowed with human life is as small as the amount of earth one can place on a fingernail. Life as a human being is hard to sustain--as hard as it is for the dew to remain on the grass. But it is better to live a single day with honor than to live to 120 and die in disgrace.
The Hindu religion is the only of the World's great faiths dedicated to the idea that the Cosmos itself undergoes an immense, indeed an infinite, number of deaths and rebirths.
Among civilized and thriving nations, on the contrary, though a great number of people do no labor at all, many of whom consume the produce of ten times, frequently of a hundred times more labour than the greater part of those who work; yet the produce of the whole labour of the society is so great, that all are often abundantly supplied, and a workman, even of the lowest and poorest order, if he is frugal and industrious, may enjoy a greater share of the necessaries and conveniencies of life than it is possible for any savage to acquire.
Look out into the July night, and see the broad belt of silver flame which flashes up the half of heaven, fresh and delicate as the bonfires of the meadow-flies. Yet the powers of numbers cannot compute its enormous age,—lasting as space and time,—embosomed in time and space.
The habit of ubiquitous interventionism, combining pinprick strikes by precision weapons with pious invocations of high principle, would lead us into endless difficulties. Interventions must be limited in number and overwhelming in their impact.
A votary of ahimsa cannot subscribe to the utilitarian formula (of the greatest good of the greatest number). He will strive for the greatest good of all and die in the attempt to realize that ideal.
It is a matter for considerable regret that Fermat, who cultivated the theory of numbers with so much success, did not leave us with the proofs of the theorems he discovered. In truth, Messrs Euler and Lagrange, who have not disdained this kind of research, have proved most of these theorems, and have even substituted extensive theories for the isolated propositions of Fermat. But there are several proofs which have resisted their efforts.