xml:lang="en" lang="en" dir="ltr">
##### Views

Keep up to date with the latest news - subscribe to the Transcribe Bentham newsletter; Find a new page to transcribe in our list of Untranscribed Manuscripts

# JB/135/212/001

Completed

1831 May 23 1 M
Posology

II Morphoscopics
§. Propositions — Parts three

1

☞ May 26. Note, the marginals of this Section
being written after the text, vary from it in several places:
on which account the text will require to be varied
accordingly, or else rewritten.

§. Of the three parts of every Form-regarding Proposition is
1. the Enuntiation. 2. the preparation. 3. the demonstration: or
1. the Enuntiations. 2. the Preparations. 3. the Demonstrations

1
Parts of every proposition
1 The enuntiation
2 The demonstration
3. The preparation

1. In every mathematical proposition, three mutually distinguishable
parts, require to be distinguished: namely: (as they may respectively
be called) — 1. the enuntiation. 2. the preparative or say preparatory:
3. the demonstrative

2
So as per Euclid,
and his followers
See whether it can
be otherwise?

2 In this case, at any rate, is every portion of discourse disregarded
by the appellation of a proposition in the works of
Euclid and those of his followers. Remains to be seen whether
there be any and by what means by which this formulary
may be dispensed with, and the time, spaces, lines and matter
hitherto occupied employed upon it and occupied by it,
saved.

3.
1. Enuntiative part
that by which of
a certain state of things
the existence is simply
affirmed: nothing, to

3. By this enuntiative part [or say the enuntiation]
of a mathematical proposition understand a sentence or aggregate
of sentences wherein and whereby the existence of the general
matter of fact in hand or say state of things is simply affirmed: without any thing
being therein said for the express purpose in an express way for the purpose of obtaining the readers
assent to it

4.
2. Demonstration, that
whereby suggestions are
the inducing belief
in the existence of the
state of things enuntiated

4. By the demonstrative part understand a sentence
or aggregate of sentences whereby wherein and whereby observations remarks
are made having for their purpose or say their object or end-in-
view — the obtaining the assent of the reader to the enuntiative part:
meaning of course the his mind or say interior, or mental assent:
in contradistinction to his merely verbal assent.

5
3. Preparation, that
by which are presented
in the diagram employed
for elucidation of the enuntiation
alteration for the
purpose of the demonstration.

5 By the preparative part understand a sentence or aggregate
of sentences having for their purpose occupied in having for their occupation
the giving directions for the making in the diagram by
which exhibition is made of the enuntiative part certain alterations
which are regarded as serving to obtain such assent.

Identifier: | JB/135/212/001
"JB/" can not be assigned to a declared number type with value 135.

1831-05-23

1-5

135

posology

212

posology

001

text sheet

1

recto

e1

jeremy bentham

street & co 1830

antonio alcala galiano

1830

46330