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<p>1831 May 21 M 2</p> | |||
<head>Posology</head> | |||
<note>ult<hi rend="superscript">o</hi><lb/> | |||
II Morphoscopics<lb/> | |||
§ Media of demonstration<lb/> | |||
&c</note> | |||
<p>2 2</p> | |||
<note>4<lb/> | |||
No proposition in<lb/> | |||
Geometry but has its<lb/> | |||
media of <unclear>derivation</unclear>,<lb/> | |||
and demonstration<lb/> | |||
or effectuation.</note> | |||
<p>4. Thus much being <unclear>presented</unclear>, — it will be sufficiently<lb/> | |||
evident that no proposition in Posology — no proposition for example<lb/> | |||
in Euclid;s Elements of Geometry can be mentioned<lb/> | |||
that has not its medium of demonstration or its medium<lb/> | |||
of effectuation, as above, as the case may be <add>as above</add>, belonging to it.</p> | |||
<note>5<lb/> | |||
Hence, in regard to<lb/> | |||
each, comes <unclear>a propos</unclear><lb/> | |||
question — what is the<lb/> | |||
medium of demonstration<lb/> | |||
or effectuation belonging<lb/> | |||
to it?</note> | |||
<p>5. In regard to each and every one of these same propositions, —<lb/> | |||
now then — <del>comes</del> <add>suggests itself</add> the enquiry,— which is the medium of demonstration<lb/> | |||
or effectuation, as the case may be — that belongs to it?</p> | |||
<note>6<lb/> | |||
Strange that no such<lb/> | |||
question should have<lb/> | |||
been as yet answered<lb/> | |||
or propounded.</note> | |||
<p>6. To this question — after so many hundred <del><gap/></del> not to say<lb/> | |||
thousands of years employed by so many intelligent men<lb/> | |||
in the teaching of Geometry, — what might naturally be expected<lb/> | |||
is — that axioms, applications — one to every such<lb/> | |||
proposition would have been found, and <unclear>congruent</unclear> to <unclear>writing</unclear><lb/> | |||
in company with the propositions themselves, and the demonstrations<lb/> | |||
given of them. No such thing: down to <add>at</add> this day <add>the present</add> this<lb/> | |||
<unclear>still</unclear> remains to be performed. Let us try what we can make<lb/> | |||
of it.</p> | |||
1831 May 21 M 2
Posology
ulto
II Morphoscopics
§ Media of demonstration
&c
2 2
4
No proposition in
Geometry but has its
media of derivation,
and demonstration
or effectuation.
4. Thus much being presented, — it will be sufficiently
evident that no proposition in Posology — no proposition for example
in Euclid;s Elements of Geometry can be mentioned
that has not its medium of demonstration or its medium
of effectuation, as above, as the case may be as above, belonging to it.
5
Hence, in regard to
each, comes a propos
question — what is the
medium of demonstration
or effectuation belonging
to it?
5. In regard to each and every one of these same propositions, —
now then — comes suggests itself the enquiry,— which is the medium of demonstration
or effectuation, as the case may be — that belongs to it?
6
Strange that no such
question should have
been as yet answered
or propounded.
6. To this question — after so many hundred not to say
thousands of years employed by so many intelligent men
in the teaching of Geometry, — what might naturally be expected
is — that axioms, applications — one to every such
proposition would have been found, and congruent to writing
in company with the propositions themselves, and the demonstrations
given of them. No such thing: down to at this day the present this
still remains to be performed. Let us try what we can make
of it.
Identifier: | JB/135/207/001"JB/" can not be assigned to a declared number type with value 135. |
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jeremy bentham |
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