JB/096/117/001

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. How far a matter of demonstration.

Call the species of misery produced by any one
crime, in a single person x, & that produced by another, y.
Now whether x or wh y be the greater, is
matter of conjecture & opinion: but that
x + y is greater than g either x or y
alone, is matter of demonstration —

How that Require let n stand for be with the number of persons subjected
to the species of misery x, & y & let such be called n number
be supposed double in the latter case to what it is in
the first.

Now whether nx or 2ny be the greater,
while x & y continue indeterminate is still matter of conjecture and opinion:
but that nx is in any case greater than x alone; & that
if x & y be supposed equal 2zy 2ny is
greater viz: that it is double to nx, this is
matter of demonstration. In this manner it is
matter of demonstration that Robbery is worse
than Theft.

INTRODUCTION. Jurisprudence how far susceptible [BR][3] of Demonstration.

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Quantity and number are that province of
Mathematics

Every thing that is susceptible of quantity or
number lies [in respect of it's quantity & it's
number] within the province of the Mathematics.

Figure or the local position of parts with respect to
each other is out of the question

It is only the very first principles of Mathematics
that have any thing here to do —

And as figure is out of the question, nothing that
belongs to Geometry need be introduced

Alg Arithmetic & Algebra are these branches of
Arithmatic [ which are the only ones that need
be brought in here] from which the few & reward common
principles that are wanted requisite will be drawn.

Identifier: | JB/096/117/001 "JB/" can not be assigned to a declared number type with value 96.
Date_1		Marginal Summary Numbering
Box	096	Main Headings	legislation
Folio number	117	Info in main headings field	introduction jurisprudence how far susceptible of demonstration
Image	001	Titles
Category	text sheet	Number of Pages	1
Recto/Verso	recto	Page Numbering	c3
Penner	jeremy bentham	Watermarks	[[watermarks::[lion with vryheyt motif]]]
Marginals		Paper Producer
Corrections		Paper Produced in Year
Notes public		ID Number	31121
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