Moncler Jackets Women that a number

avoids defining such primitive words as space, moncler

jackets time, motion, equality, majority, minority, whole, and others, whose meaning is selfevident. But these

excepted, the other terms it employs are so well explained and defined, that we have no need of a dictionary to

understand them; in a word, all its terms are perfectly intelligible, either from their native perspicuity, or by definitions.

In this manner it avoids all the errors incident to the first particular, which consists in defining those things only that

require definition; and it is as successful in reference to the other point, which consists in proving such propositions as

are not selfevident. For when it arrives at primary truths, it stops, and demands our immediate assent to them, since

there is nothing clearer to prove them by:Moncler Vest so that the truth of every thing that Geometry propounds, is perfectly established cither

by intrinsic evidence, or by a deduction of proofs. Hence, if this science does not define and demonstrate every thing,

it is for the simple reason, that it is impossible. It is the same with respect to time. We can conceive it greater without

end, and less without arriving at an instant, or mere nothing of duration. In a word, suppose any motion, any number,

any space, any time whatever, there will be still a greater and a less; Moncler Coats Men so that they are all placed between nonentity and

infinity, and always at an infinite distance from these two extremes. None of these truths can be demonstrated, and

yet they are the foundations and first principles of Geometry. But as their extreme clearness, and not their obscurity,

renders them incapable of demonstration, this want of proof is not a defect, but an excellence. Geometry, therefore,

cannot define its objects, nor prove its principles, for this single but satisfactory reason, that the one and the other

have naturally such an extreme perspicuity, that our reason is more powerfully convinced by it than by any

argumentation. For what can be more evident, than this truth, That any number whatever may be increased, or may

be doubled, that the rapidity of any given motion may be doubled, and that any given space may be doubled ? And

who can doubt, Moncler Jackets

Women that a number may be divided by two, and that half again, in the same way? For will this half be

nothing? And granting that, how can two halves, that is to say, two nothings, ever become a number
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