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did not.</p> | did not.</p> | ||
For conveying affectually <lb/> | <p>For conveying affectually <lb/> | ||
that is to every <lb/> | that is to every <lb/> | ||
body and at all times <lb/> | body and at all times <lb/> | ||
Line 45: | Line 45: | ||
that sort of <del>prop</del> idea <add>which</add><lb/><pb/> | that sort of <del>prop</del> idea <add>which</add><lb/><pb/> | ||
which the proposition was intended to convey. In a word of propositions that are not general a man may understand as many as would fill a book that should have the appearance of a book of geometry, without understanding a syllable of Geomtery. All books of Geometry hitherto extant have with propositions that are not general There is not a book extant Euclid not excepted which a move in which are not to be | which the proposition <lb/> | ||
was intended <lb/> | |||
to convey. In a <lb/> | |||
word of propositions <lb/> | |||
that are not general <lb/> | |||
a man may <lb/> | |||
understand as many <lb/> | |||
as would fill a <lb/> | |||
book that should <lb/> | |||
have the appearance <lb/> | |||
of a book <lb/> | |||
of geometry, without <lb/> | |||
understanding <lb/> | |||
a syllable of Geomtery.</p> | |||
All books of Geometry <lb/> | |||
hitherto extant <lb/> | |||
have with <lb/> | |||
propositions that <lb/> | |||
are not general. <lb/> | |||
There is not a book <lb/> | |||
extant Euclid not <lb/> | |||
excepted <del>which a</del> <lb/> | |||
<del>move</del> in which <lb/> | |||
are not to be found <lb/> | |||
propositions in abundance <lb/> | |||
every <lb/> | |||
one of which a <lb/> | |||
man may understand, <lb/> | |||
and that <lb/> | |||
most perfectly, <lb/> | |||
without understanding <lb/> | |||
any thing of <lb/> | |||
Geometry. Suppose <lb/> | |||
a book of Geometry <lb/> | |||
composed wholly of <lb/> | |||
such propositions, if <lb/> | |||
a man by reading <lb/> | |||
it has learnt<add>understands</add> Geometry, <lb/> | |||
the case is <lb/> | |||
not that he has <lb/> | |||
been taught Geomtery<lb/><pb/> | |||
if ever the reader
comes to understand the
proposition it is by
means of having in
his mind ideas of
his own formation,
ideas which the words
of the writer did not
present to him. It is
in a word by having possessing
contrive to form to himself a general proposition
which the
writer ought to have
formed for him but
did not.
For conveying affectually
that is to every
body and at all times
a general idea no
proposition can serve
that is not a general
proposition. A general
proposition that
is really a general
one conveys, the idea
the general idea to
every one who by whom
the import of it is understood,
and to that time
at all times. Of A proposition
that is not a
general one may be
const a man may
understand the import
and that most perfectly
without having
a general idea
in his head mind, without
having in his head
that sort of prop idea which
---page break---
which the proposition
was intended
to convey. In a
word of propositions
that are not general
a man may
understand as many
as would fill a
book that should
have the appearance
of a book
of geometry, without
understanding
a syllable of Geomtery.
All books of Geometry
hitherto extant
have with
propositions that
are not general.
There is not a book
extant Euclid not
excepted which a
move in which
are not to be found
propositions in abundance
every
one of which a
man may understand,
and that
most perfectly,
without understanding
any thing of
Geometry. Suppose
a book of Geometry
composed wholly of
such propositions, if
a man by reading
it has learntunderstands Geometry,
the case is
not that he has
been taught Geomtery
---page break---
Identifier: | JB/135/078/003"JB/" can not be assigned to a declared number type with value 135. |
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135 |
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078 |
geometry |
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003 |
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rudiments sheet (brouillon) |
2 |
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recto |
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jeremy bentham |
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46196 |
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