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10 Apr 1815
Chresto End III Inserenda Particular branches
18
21 or 14 continued
and at the same time intellection - conveying mode of expression
which he applied so uniformly to his proposition - i.e. the more grammatical sentence enuntiation in
each instance of the
geometrical relation
the existence of which
is thereby enuntiation
-to of the propositions undertaken to be demonstrated - lead
happened it that he failed to combine did not continue the application of
it to the demonstration , and ind directions given for the proposintory
classes? Had the question been put to him - for dispatch
- would probably have been his answer. But for want? ? ?
of knowing very well how would probablynot improbably have been the mere
correct answer; and at any rate[+]what should be not only a correct<add>means</add>but narrow
in addition to that
effect would have
been necessary to
the forming necessary to form a compleat
one. For the composingcomposition of a book of instructions upon that plan
the human mind had not, in his time, made sufficient advance.
It The mathematician is one sort of person the or 5
Of Logic this
most instructive mode
of expression was
the work: tempore
Euclidis: logic
not so far advanced:
are though
to make advance in
a track of invention
another to give a
chair and comprehensive
description
of it.
Logician is another. It is by generalization that all
inventions are accomplished allmost discoveries made. But Generalization
by whole sale upon Generalization upon a in all comprehensive scale
is the work of the Logician: it is by the same progressprocess
performed upon a comparatively small scale - performed, as
it were by driblets - that the particular discoveries that have been made
have been made in Mechanical Philosophy, in Chemical
Philosophy, and even in Mathematicshas bee made. But
it is one thing to proceed make progress in a in a certain track, another
thing descriptive to give be able to to be able to give a description a clear and a correct and
compleat and easily apprehensible description of that tracksame the progress so
made in that same track.
— or 6
By Euclid, the naked
propositions are throughout
generalized
but in the School
book even these are
particularized: by letter
of reference
By Euclid, though for the giving expression to the demonsrations
and to the preparatory additions, the appellance of letters of reference referring
to the diagram. wasis in each influence called in, yet in the giving
expression to the propositions themselves as they stand at the head
of such article, no such no such limitation from of expression being recurred the language employed is altogether [+] is infected by letters
of reference, by which
stands, the proposition is
limited in its extent
to the particular exemplification
which the
diagram brings to view
general as above. But in his book of viz such
sections above spoken of thus much is very distinctly remembered
the of general mode of expression are in many
instances abandoned from the very first:in the form of words, descriptive of the proposition itselfshould
Identifier: | JB/018/021/001 "JB/" can not be assigned to a declared number type with value 18.
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1815-04-10 |
or 4 continued, or 5 - or 6 |
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018 |
chrestomathia |
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021 |
chrest. tab. ii inserenda |
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001 |
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text sheet |
1 |
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recto |
c4 / e8 |
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jeremy bentham |
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6430 |
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