These are, therefore, two types of comparison: one analyzes units to establish relations of equality and inequality, the other sets the simplest elements and has differences according to possible weaker change their degree. Still, measurement of quantities and sets, we can to reduce to order; arithmetical values always arranged in series: a plurality of units can be "place according to such an order that the difficulty that was inherent in the knowledge measurement, in the end, became dependent only on considerations of order,"<$F Descartes. Regulae, XIV, p. 182.>. Method and its "progressiveness" are just the following: to reduce any dimension (any determination through equality and inequality) to a series of dimensions that, on the basis of simple identify the differences as degrees of complexity. Such being analyzed according to the unit and the relations of equality and inequality analyses then according to the obvious identity and differences -- differences which may be meaningful in order opinions. Nevertheless, this order or generalized the comparison is established only in accordance with the grip in mind; the absolute nature that is attributed to the whole simple it refers not to the existence of the things themselves, but to the way they can know, so kakaka any thing can be absolute in one respect and relative to other<$F Ibid., VI, p. 103.>; the procedure can be both necessary and natural (in relation to thought) and arbitrary (in relation to things), as the same thing in the way that its consideration may be placed in one or another point of order.
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These are, therefore, two types of comparison: one
analyzes units to establish relations of equality and
inequality, the other sets the simplest elements and
has differences according to possible weaker change
their degree. Still, measurement of quantities and sets, we can
to reduce to order; arithmetical values always
arranged in series: a plurality of units can be "place
according to such an order that the difficulty that was inherent in
the knowledge measurement, in the end, became dependent only on
considerations of order,"<$F Descartes. Regulae, XIV, p. 182.>.
Method and its "progressiveness" are just the following:
to reduce any dimension (any determination through equality and
inequality) to a series of dimensions that, on the basis of simple
identify the differences as degrees of complexity. Such being
analyzed according to the unit and the relations of equality and
inequality analyses then according to the obvious identity
and differences -- differences which may be meaningful in
order opinions. Nevertheless, this order or generalized
the comparison is established only in accordance with the grip in mind;
the absolute nature that is attributed to the whole simple
it refers not to the existence of the things themselves, but to the way they
can know, so kakaka any thing can be
absolute in one respect and relative to other<$F
Ibid., VI, p. 103.>; the procedure can be both
necessary and natural (in relation to thought) and
arbitrary (in relation to things), as the same
thing in the way that its consideration may be placed in
one or another point of order.
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