JB/078/095/001

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1826 Aug. 28
Review of Humphreys

F 4
H's Deficiencies Ch. Agenda at length
(1) (1 Numerical denominations
for the results here in of successive
divisional operations performed
on the same integer
Correspondent characters designation
H.'s Table of Contents chances for
its cloudiness.

Mr. H's scheme of division as expressed in the
"Table of Contents" presents a source of instruction too important
to be passed over unnoticed: clouds of no inconsiderable
density will be seen involving it. These logical clouds
being in possession of the habit of enveloping the whole
scheme of division at present in use, no method mode of clarification
presents itself as possible other than by H commencing
with the exhibition of a proposed supposed apt method which if received
may serve as a standard of comparison, by application
to which the inaptitude of all unapt ones will be made manifest.

Defect in Roman
and other languages.
For Operation and its
Results appellated the same
different ones, act extant

A necessary preliminary observation is, a very informative
defect which has place in the Latin language, from
which the so large a part of the English, and a still larger
part of the language of the South of Europe is derived.

This is — that for giving expression to the result of an
Act or say operation, there exists no appellation other than
that of the act or operation itself. Thus for exampleBy the 1 Section
means is indicated the act of cutting: as performed upon a whole by that same word so is each of
the two halves into which the whole has been cut. So in the
case of division and many other not to say most other words ending
in ion. To keep clear of this ambiguity when it is the
act of section that I mean the appellation I employ
is sectional operation; when the it is the result that I mean
the appellation I employ is Section.

[This being premised I proceed to say that]

Suppose a library work which is undivided is requiring
to be divided and subdivided in various degrees of by a series of acts of subdivision
into a correspondent number of parts. For dis finite
appellations for the several parcels of results I take

Speaking of an unapt
Mathematics spent
of the bisection and the
trisection of it. This
nomenclature furnished
the hint, though the
exact copy identical
one of it would not of answered the purpose.

Identifier: | JB/078/095/001 "JB/" can not be assigned to a declared number type with value 78.
Date_1	1826-08-28	Marginal Summary Numbering	Not numbered
Box	078	Main Headings	Review of Humphreys
Folio number	095	Info in main headings field	Review of Humphreys
Image	001	Titles
Category	Text sheet	Number of Pages	1
Recto/Verso	recto	Page Numbering	C1 / D4 / E1
Penner		Watermarks	J WHATMAN TURKEY MILL 1824
Marginals	Jeremy Bentham	Paper Producer	Jonathan Blenman
Corrections		Paper Produced in Year	1824
Notes public		ID Number	25186
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