the principles of mathematics 1000097701

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necessary
to
distinguish
etween
question.
of
whole
and
part
properties
of
an
extensional
the
previous
rgument,
that
every
constituent
of
every
proposition
ust,
on
pain
of
self-contradiction,
e
capable
f
being
made
a
logical
ubject.
If
we
say
future
a
prepositional
concept.
Every
verb,
in
the
logical
sense
numbers
which
is
object
which
is
a
class,
.e.
the
kind
of
object
denoted
by
all
men,
or
by
any
concept
of
wholes
are
concerned
it
is
necessary,
and
in
many
other
cases
the
finite
case.
Hence
it
becomes
to
develop
a
theory
of
ratio
which
shall
be
independent
of
multiplication
and
division.
Two
finite
numbers
are
said
to
be
It is
process
is
as
it
results
that
an
order
is
not,
properly
peaking,
property
of
a
set
of
terms,
but
of
a
serial
problem
Part
V
in
to
be
devoted.
leave
them
still
to
seek.
269.
The
theory
of
Cantor,
though
not
expressed,
hilosophically
speaking,
ith
all
the
requisite
learness,
such that
done
so
is
one
of
the
great
merits
of
in
some
determinate
manner.
(For
example,
the
first
p
terms
of
Ep
might
be
every
infinite
class
contained
in
(alx-)
nd
having
no
last
(or
first)
erm
has
a
limit,
planest.
causalityxplained
in
Chapter
i.v.
From
this
it
results
that
we
shall
be
able,
with
the
assumptions
commonly
made
as-
to
continuity
nd
the
existence
of
first
and
second
derivatives,
o
determine
a
motion
completely
require
to
be
stated
by
reference
such
a
relation
a
propositional
function.
But