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1831 June 6


Mention of elucidation
and effectuation

or 1
includes effectuation;
theorem, problem

Medium a of demonstration — medium of effectuation.
Looked closely into, these two operations will be seen to run
one into another, the latter being included in the former: for
of the two sorts of things susceptible of demonstration, one is —
that that which has been undertaken to be done, has, in effect
been done

or 2
Demonstration is
but a means of producing
thus in logic, as
well as in posology.

But demonstration itself, what is it?

Demonstration a word in two cases — in two senses —
in the logical sense, and in the posological sense: demonstratio
όη, — demonstratio δί όη.

In what is it that they agree? It is — that in both cases
satisfaction is afforded to those for which it is demonstrated.

And to each what is it. In both cases it is effectuated
or it is nothing worth.

or 3
sufficiently accurate
sufficiently conformable
to the real state of things
the case
to exclude practical
errors —

The satisfaction is it compleat enough, to afford a
guide to practice, to serve as a guide to practice: that what
is in consequence of the demonstration taken to be true, is it a means
to the being exactly true, that although it is false and erroneous
the departure, the divergence from the truth is not so considerable
that human suffering in any shape can ever be the result of its
being taken for true and being relied upon as such.

or 4
i.e: error having
for its ultimate effect
diminution of happiness

In morphoscopics demonstration is taken in a confined
sense — a sense in which it is not taken in alegomorphic
In alegomorphics nothing from beginning to end is said to
be demonstrated. Yet are the conclusions that are come to
less safe to be relied upon — less secure against being productive
of practical evil than those that are come to in morphoscopics?

or 5
In Algebra, no
demonstrations none
Yet by algebra, upon
practical error exclusion
is put as surely and
effectually, as by Geometry.

Certainly not. In both ways the conclusions come to are the
same: in the case of morphoscopics, fiction is performed —
the fiction that in the case in question forms a figure
that the object or subject matter of any
thing indeed with figure: which supposition or say assumption
is a false one. The conclusions that are come to without this
falshood are they the less to be depended upon, than those in which
no such falshoods, nor
any other are employed?
☞ Apply this to question
of a circle
and other

Identifier: | JB/135/144/001
"JB/" can not be assigned to a declared number type with value 135.



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jeremy bentham



jeremy bentham

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