at an indivisible, that is to say,moncler jackets an unextended
part. For can any thing be more absurd, than to pretend, that by continually dividing a space, we can obtain such a
division, that on repeating the operation, each of these parts should be indivisible and unextended? I would ask those
who hold this notion, whether they clearly conceive how two indivisibles can touch one another; if they touch in every
part, they form but one thing, and therefore the two together are indivisible: and if they do not touch in every part,
they touch in one part, and not in another, therefore they have parts, and are not indivisible. Let them confess, as in
fact they do when pushed to a point, Moncler Vest that this proposition of theirs is as inconceivable as the other: let them acknowledge, that
it is not by our capacity of conceiving things, that we judge of their truth, since these two contrary pro positions
being equally inconceivable, it is nevertheless certain, that one of them is true. But to these chimerical difficulties,
which have no relation but to our weakness, let them oppose selfevident and irrefragable truths. If it were true that
space is composed of a certain finite number of indivisible parts, Moncler Coats Men would follow, that of two spaces, each a square, that
is, having all its sides equal and its angles right angles, the one which should be double the other, would contain twice
the number of these indivisible points. Let them keep in mind this consequence, and then exercise themselves in
arranging points in squares, till they meet with two, of which one has double the number of the other, and then I will
make every Geometrician in the world submit to them. But if this be naturally impossible, that is, if there be an
absolute impossibility to range points in squares, of which one shall have twice the number of the other, as I could
demonstrate in this place if it were worth while, I may leave them to draw the inference. And to relieve them in the
difficulties they sometimes meet with, as in conceiving a space that has an infinite numbertf divisible parts, which may
be passed over in an extremely short time, we must remind them, that they ought not to compare things so
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should compare the whole space with the whole time, and the infinitesimals of the space, with the
merry1215
part. For can any thing be more absurd, than to pretend, that by continually dividing a space, we can obtain such a
division, that on repeating the operation, each of these parts should be indivisible and unextended? I would ask those
who hold this notion, whether they clearly conceive how two indivisibles can touch one another; if they touch in every
part, they form but one thing, and therefore the two together are indivisible: and if they do not touch in every part,
they touch in one part, and not in another, therefore they have parts, and are not indivisible. Let them confess, as in
fact they do when pushed to a point, Moncler Vest that this proposition of theirs is as inconceivable as the other: let them acknowledge, that
it is not by our capacity of conceiving things, that we judge of their truth, since these two contrary pro positions
being equally inconceivable, it is nevertheless certain, that one of them is true. But to these chimerical difficulties,
which have no relation but to our weakness, let them oppose selfevident and irrefragable truths. If it were true that
space is composed of a certain finite number of indivisible parts, Moncler Coats Men would follow, that of two spaces, each a square, that
is, having all its sides equal and its angles right angles, the one which should be double the other, would contain twice
the number of these indivisible points. Let them keep in mind this consequence, and then exercise themselves in
arranging points in squares, till they meet with two, of which one has double the number of the other, and then I will
make every Geometrician in the world submit to them. But if this be naturally impossible, that is, if there be an
absolute impossibility to range points in squares, of which one shall have twice the number of the other, as I could
demonstrate in this place if it were worth while, I may leave them to draw the inference. And to relieve them in the
difficulties they sometimes meet with, as in conceiving a space that has an infinite numbertf divisible parts, which may
be passed over in an extremely short time, we must remind them, that they ought not to compare things so
disproportionate as the infinitesimals of a given space, Moncler Jackets Women and the short time in which they may be passed over; they
should compare the whole space with the whole time, and the infinitesimals of the space, with the
merry1215
Sat Mar 10, 2012 4:46 pm by merry
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