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<head>1831 March 11<lb/> | |||
Posology</head> | |||
<head>Mental Arithm<hi rend="superscript">c</hi></head> | |||
<p>Applied to morhposcopic<lb/> | |||
posology the <gap/><lb/> | |||
method, is<lb/> | |||
analogous to what is<lb/> | |||
called <hi rend="underline">mental</hi> as<lb/> | |||
applied to arithmetic,<lb/> | |||
in both the signs are<lb/> | |||
non-present to the<lb/> | |||
organ of sense.</p> | |||
<p>But <del>in</del> the effects<lb/> | |||
produced by this kind<lb/> | |||
there is little analogy.</p> | |||
<head>Contrivance</head> | |||
<p>For the purpose of either<lb/> | |||
method — namely<lb/> | |||
the ordinary didactic<lb/> | |||
and the historical,<lb/> | |||
a circumstance necessary<lb/> | |||
to be investigated<lb/> | |||
in relation to each proposition<lb/> | |||
may be called<lb/> | |||
the <hi rend="underline">contrivance</hi>: the<lb/> | |||
idea by which was<lb/> | |||
suggested the means<lb/> | |||
of accomplishing the<lb/> | |||
end in view: in the<lb/> | |||
case of a <hi rend="underline">theorem</hi> proving<lb/> | |||
the truth of the<lb/> | |||
<hi rend="underline">proposition</hi> in question<lb/> | |||
taken in the logical senses<lb/> | |||
in the case of a problem<lb/> | |||
proving the truth<lb/> | |||
of the fact — namely<lb/> | |||
that the thing done<lb/> | |||
is the <del><gap/></del> same thing<lb/> | |||
with the thing required<lb/> | |||
to be done: the figure<lb/> | |||
exhibited the same <del><gap/></del><lb/> | |||
sort of figure as the<lb/> | |||
figure required to be<lb/> | |||
exhibited</p><pb/> | |||
<head>Contrivance</head> | |||
<p>For the explanation of<lb/> | |||
what is meant by the<lb/> | |||
word <hi rend="underline">contrivance</hi>: the<lb/> | |||
proposition of all others<lb/> | |||
the most apt as the first<lb/> | |||
proposition in Euclid,<lb/> | |||
the problem by which the<lb/> | |||
construction of an equilateral<lb/> | |||
triangle is required<lb/> | |||
to be performed.</p> | |||
<p><del>There</del> On examination<lb/> | |||
this may perhaps be<lb/> | |||
found to stand first in<lb/> | |||
the order of invention</p> | |||
<p>From it may be deduced<lb/> | |||
as <del><gap/></del> corollaries<lb/> | |||
<del><gap/></del> <add>two</add> fundamental truths<lb/> | |||
1 that identity is the <del><gap/></del><lb/> | |||
indisputable foundation<lb/> | |||
of the idea of equality.<lb/> | |||
2. that all <del><gap/></del> posological<lb/> | |||
ideas, whether<lb/> | |||
morphoscopic or alegomorphic<lb/> | |||
are derived<lb/> | |||
from physical ones</p> | |||
<p>N.B. This, though<lb/> | |||
included in Lockes<lb/> | |||
namely that all psychological<lb/> | |||
ideas are derived<lb/> | |||
from physical ones<lb/> | |||
has been contested by various<lb/> | |||
posologists: the opposite<lb/> | |||
idea being more<lb/> | |||
flattering to the vanity<lb/> | |||
of Instructors and other<lb/> | |||
proficients,</p><pb/> | |||
<p>Course for teaching<lb/> | |||
2 Morphoscopic</p> | |||
<head>Course for teaching<lb/> | |||
2, Morphoscopic<lb/> | |||
Euclid</head> | |||
<p>21 Feb 1831</p> | |||
<p>Euclids elementary<lb/> | |||
entities being but <hi rend="underline">fictions</hi><lb/> | |||
why begin with <hi rend="underline">them</hi>?<lb/> | |||
why not with realities?<lb/> | |||
Answer the realities will<lb/> | |||
be spoken of before the<lb/> | |||
fictions, though along<lb/> | |||
with the fictions: and<lb/> | |||
the fictions will be spoken<lb/> | |||
of as fictions — not as by<lb/> | |||
Euclid as realities</p> | |||
<p>Thus, no <hi rend="underline"><unclear>cloud</unclear></hi><lb/> | |||
has place.</p> | |||
<head>Euclids</head> | |||
<p>It may be proper <del>to</del><lb/> | |||
(after a General Introduc<hi rend="superscript">n</hi>)<lb/> | |||
to begin as Euclid began,<lb/> | |||
notwithstanding</p> | |||
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{{Metadata:{{PAGENAME}}}} | {{Metadata:{{PAGENAME}}}}{{Completed}} | ||
1831 March 11
Posology
Mental Arithmc
Applied to morhposcopic
posology the
method, is
analogous to what is
called mental as
applied to arithmetic,
in both the signs are
non-present to the
organ of sense.
But in the effects
produced by this kind
there is little analogy.
Contrivance
For the purpose of either
method — namely
the ordinary didactic
and the historical,
a circumstance necessary
to be investigated
in relation to each proposition
may be called
the contrivance: the
idea by which was
suggested the means
of accomplishing the
end in view: in the
case of a theorem proving
the truth of the
proposition in question
taken in the logical senses
in the case of a problem
proving the truth
of the fact — namely
that the thing done
is the same thing
with the thing required
to be done: the figure
exhibited the same
sort of figure as the
figure required to be
exhibited
---page break---
Contrivance
For the explanation of
what is meant by the
word contrivance: the
proposition of all others
the most apt as the first
proposition in Euclid,
the problem by which the
construction of an equilateral
triangle is required
to be performed.
There On examination
this may perhaps be
found to stand first in
the order of invention
From it may be deduced
as corollaries
two fundamental truths
1 that identity is the
indisputable foundation
of the idea of equality.
2. that all posological
ideas, whether
morphoscopic or alegomorphic
are derived
from physical ones
N.B. This, though
included in Lockes
namely that all psychological
ideas are derived
from physical ones
has been contested by various
posologists: the opposite
idea being more
flattering to the vanity
of Instructors and other
proficients,
---page break---
Course for teaching
2 Morphoscopic
Course for teaching
2, Morphoscopic
Euclid
21 Feb 1831
Euclids elementary
entities being but fictions
why begin with them?
why not with realities?
Answer the realities will
be spoken of before the
fictions, though along
with the fictions: and
the fictions will be spoken
of as fictions — not as by
Euclid as realities
Thus, no cloud
has place.
Euclids
It may be proper to
(after a General Introducn)
to begin as Euclid began,
notwithstanding
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135 |
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297 |
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rudiments sheet (brouillon) |
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jeremy bentham |
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46415 |
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