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Pleasures and Pains. their kinds
-mity and duration multiplied together. [a]
The numbers expre representing the intensity and
duration of a pleasure, should be whole numbers:
those representing the it's remoteness and degree of certainty,
fractions; and for this reason. The quantities
of intensity and duration of which are a pleasure
is susceptible have each of them a certain — fixed limit on
the side of diminution: they have none on the side
of increase. On the other hand the quantities of proximity
and degree of certainty of which it susceptible
have each of them a certai fixed limit on the side
of increase; they have none on the side of diminution.
[a] NOTE
At full length thus: the one value of any [given] pleasure
is to the value of any other pleasure as the product of the numbers
representing the intensity duration proximity and degree
of certainty of the one when multiplied together, is to
the product of the numbers representing the intensity duration
proximity and degree of certainty of the other
when multiplied together.
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1 Pleasures and Pains — how measured
It imports a Legislator as well as every
private man to underst know how to measure the
value of a pain or pleasure: to know on what circumstances
belonging to it the value of it depends.
For the more in number the pleasures in which a
man enjoys will is about to enjoy within a given time, and the greater each
of them is in value, the number and value of the
pains he is about to enjoy for within that time being deducted,
the greater for that time will be his happiness.
[+] [+]To Ins.Op.1.No1.
The circumstances on which the value of a pleasure
depends when considered by itself are these four: viz:
1. Intensity
2. Duration
3. Proximity or remoteness
4. Degree of Certainty, that is of Certainty, probability or improbability.
The circumstances of intensity and duration belong
necessarily and at all times to all pains and
pleasures. every pain or or pleasure must be more
or less intense: every pains or pleasure must last for
such or such a time.
These two circumstances of intensity and duration
taken together form constitute what may be properly termed
the magnitude of a pleasure. It is indeed common
enough to speak of the magnitude of a
pleasure when nothing more than the intensity
of it is in view. But then the duration of it is not either
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