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<p>4. Thus much being <unclear>presented</unclear>, — it will be sufficiently<lb/> | <p>4. Thus much being <unclear>presented</unclear>, — 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 | in Euclid's Elements of Geometry can be mentioned<lb/> | ||
that has not its medium of demonstration or its medium<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> | of effectuation, as above, as the case may be <add>as above</add>, belonging to it.</p> | ||
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<note>5<lb/> | <note>5<lb/> | ||
Hence, in regard to<lb/> | Hence, in regard to<lb/> | ||
each, comes <unclear> | each, comes a <unclear>proper</unclear><lb/> | ||
question — what is the<lb/> | question — what is the<lb/> | ||
medium of demonstration<lb/> | medium of demonstration<lb/> |
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 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 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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