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<note>Satisfying</note> | <note>Satisfying</note> | ||
<add>speech</add> there <add>have</add> is no language to express them: but<lb/>which in mathematical language may be expressed<lb/>with any degree of truth and accuracy<lb/>by the forms made use of in treating of the<lb/>doctrine of chances.<lb/>Either a man [has stolen] <add>did steal</add> the thing he is<lb/>accused of stealing, or he did not: this is undeniable.<lb/>But how does it appear to me who am<lb/>to judge of it? 1. I may be persuaded that he did<lb/>steal it to a degree of certainty that excludes<lb/>all doubt: in this case the chances in favour of<lb/>the fact of his having stolen it appear to me<lb/><add>to be</add> as infinity to one. 2. I may be persuaded in the<lb/>same degree that he did not steal it: in this case<lb/>the chances in favour of <del>it</del> the fact of his having<lb/>stolen it appear to me to be but as one to infinity,<lb/>or which comes to the same thing the chances<lb/><hi rend="underline">against</hi> that fact appear to me to be as infinity<lb/> to one. 3. I may be unable to form any opinion<lb/>about the matter on either side: in this case<lb/>the chances in favour of the fact <add>affirmative</add> of his having<lb/>stolen the thing <del>appear to me</del> compared to the<lb/>chances against it appear to me as one to <lb/>one or as any number to the same. Now<lb/><del>it is plain that</del> between <del>absolute certainty on</del> <add>the chance of infinity</add><lb/><del><add>to me on</add> the one side and absolute doubt there may be</del><lb/>to one on one side and <add>the chances</add> one to one there may be <lb/><note>as</note>< | <p><add>speech</add> there <add>have</add> is no language to express them: but<lb/>which in mathematical language may be expressed<lb/>with any degree of truth and accuracy<lb/>by the forms made use of in treating of the<lb/>doctrine of chances.<lb/>Either a man [has stolen] <add>did steal</add> the thing he is<lb/>accused of stealing, or he did not: this is undeniable.<lb/>But how does it appear to me who am<lb/>to judge of it? 1. I may be persuaded that he did<lb/>steal it to a degree of certainty that excludes<lb/>all doubt: in this case the chances in favour of<lb/>the fact of his having stolen it appear to me<lb/><add>to be</add> as infinity to one. 2. I may be persuaded in the<lb/>same degree that he did not steal it: in this case<lb/>the chances in favour of <del>it</del> the fact of his having<lb/>stolen it appear to me to be but as one to infinity,<lb/>or which comes to the same thing the chances<lb/><hi rend="underline">against</hi> that fact appear to me to be as infinity<lb/> to one. 3. I may be unable to form any opinion<lb/>about the matter on either side: in this case<lb/>the chances in favour of the fact <add>affirmative</add> of his having<lb/>stolen the thing <del>appear to me</del> compared to the<lb/>chances against it appear to me as one to <lb/>one or as any number to the same. Now<lb/><del>it is plain that</del> between <del>absolute certainty on</del> <add>the chance of infinity</add><lb/><del><add>to me on</add> the one side and absolute doubt there may be</del><lb/>to one on one side and <add>the chances</add> one to one there may be <lb/><note>as</note></p> | ||
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56
Indirect Legislation
Satisfying
speech there have is no language to express them: but
which in mathematical language may be expressed
with any degree of truth and accuracy
by the forms made use of in treating of the
doctrine of chances.
Either a man [has stolen] did steal the thing he is
accused of stealing, or he did not: this is undeniable.
But how does it appear to me who am
to judge of it? 1. I may be persuaded that he did
steal it to a degree of certainty that excludes
all doubt: in this case the chances in favour of
the fact of his having stolen it appear to me
to be as infinity to one. 2. I may be persuaded in the
same degree that he did not steal it: in this case
the chances in favour of it the fact of his having
stolen it appear to me to be but as one to infinity,
or which comes to the same thing the chances
against that fact appear to me to be as infinity
to one. 3. I may be unable to form any opinion
about the matter on either side: in this case
the chances in favour of the fact affirmative of his having
stolen the thing appear to me compared to the
chances against it appear to me as one to
one or as any number to the same. Now
it is plain that between absolute certainty on the chance of infinity
to me on the one side and absolute doubt there may be
to one on one side and the chances one to one there may be
as
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Identifier: | JB/087/081/003"JB/" can not be assigned to a declared number type with value 87. |
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087 |
indirect legislation |
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081 |
indirect legislation |
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003 |
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text sheet |
4 |
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recto |
f53 / f54 / f55 / f56 |
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jeremy bentham |
[[watermarks::gr [crown motif] [britannia with shield motif]]] |
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27606 |
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