JB/007/104/002

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LOGIC Division — why it must be dichotomous.

the parcel to be
divided A.: instead
of dividing it into
arcels only, viz.:
B & C,
divide it at once
ore parcels, B,
D. Is this divi-
as satisfactory
it might be? No:
ill probably be
that it is not
be the reason be not
diably perceived.
then is the reason?
as follows. It ex-
all the dis- points
arrangements is made of the three
or numbers,
does not exhibit
their congruities.
so distributed
these be properly
buted and named
is so distributed
med that to no ar-
to which one
names is ap-
d could be either
other two names
pplied. No A.
that is a B.
is either a C
. No A. either that is
either a B or a D: now
A. that is a D either B
C. the dis-
these be-
these several
or indeed suffi-
expressed: ex-
by the circum-
of their being an
as cdent
bers of the whole
tion, according
to

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to a plan of partition
which is announced
to be an
exhaustive one. But
on the other hand there is
congruity which is there a congruity
in between them which is
not expressed. Every
A. which is a B. agrees
with a C. in
this that it is not
a C: every A which
is a D C agrees with
a D. in this that it
is not a B.: and
every A which is
a D. agrees with a
B in this, that it is
not a C.

It is plain
Therefore
It is plain therefore
that A instead
of being divided into
three parcels B, C & D might
always in the first instance be divided into
two only B. &C. For of
the three parcels any
two may be consolidated
into one having
this property in common
that no A that
belongs to either of them
belongs to the 3d.

And this plan of division is
the more simple of the
two. 1st step: Every A. is
either a B. or a C. —
2d step Every B. is either
a D. or an E.

In the first step the
attention gets repose:
it has but two com-
partments

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partments B & C.
to examine in order
to see that every A.
that belongs to either
one or other of them
(which is shewn by
this circumstance
of their having for
names the name
A. for with an epithet
and that no A that
belongs to one belongs
to the other.

Identifier: | JB/007/104/002 "JB/" can not be assigned to a declared number type with value 7.
Date_1		Marginal Summary Numbering
Box	007	Main Headings	church of englandism
Folio number	104	Info in main headings field
Image	002	Titles
Category	text sheet	Number of Pages	1
Recto/Verso	recto	Page Numbering	d27*
Penner	jeremy bentham	Watermarks	[[watermarks::gr [crown motif]]]
Marginals		Paper Producer
Corrections		Paper Produced in Year
Notes public		ID Number	3048
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