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< | <head>1831 May 21 M 2<lb/> | ||
Posology</head> | |||
<note>ult<hi rend="superscript">o</hi><lb/> | <note>ult<hi rend="superscript">o</hi><lb/> | ||
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or effectuation.</note> | or effectuation.</note> | ||
<p>4. Thus much being | <p>4. Thus much being presumed, — it will be sufficiently<lb/> | ||
evident that no proposition in Posology — no proposition for example<lb/> | evident that no proposition in Posology — no proposition for example<lb/> | ||
in Euclid's Elements of Geometry can be mentioned<lb/> | in Euclid's Elements of Geometry can be mentioned<lb/> | ||
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<note>5<lb/> | <note>5<lb/> | ||
Hence, in regard to<lb/> | Hence, in regard to<lb/> | ||
each, comes a | each, comes a proper<lb/> | ||
question — what is the<lb/> | question — what is the<lb/> | ||
medium of demonstration<lb/> | medium of demonstration<lb/> | ||
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in the teaching of Geometry, — what might naturally be expected<lb/> | in the teaching of Geometry, — what might naturally be expected<lb/> | ||
is — that axioms, applications — one to every such<lb/> | is — that axioms, applications — one to every such<lb/> | ||
proposition would have been found, and | proposition would have been found, and consigned to writing<lb/> | ||
in company with the propositions themselves, and the demonstrations<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/> | given of them. No such thing: down to <add>at</add> this day <add>the present</add> this<lb/> | ||
task remains to be performed. Let us try what we can make<lb/> | |||
of it.</p> | of it.</p> | ||
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{{Metadata:{{PAGENAME}}}} | {{Metadata:{{PAGENAME}}}} |
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 presumed, — 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 proper
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 consigned 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
task 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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