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<p>1831 May 23 <hi rend="underline">1</hi> M</p> | |||
<head>Posology</head> | |||
<note>II Morphoscopics<lb/> | |||
§. Propositions — Parts three</note> | |||
<p>1</p> | |||
<p>☞ May 26. Note, the marginals of this Section<lb/> | |||
being written after the text, vary from it in several places:<lb/> | |||
on which account the text will require to be varied<lb/> | |||
accordingly, or else rewritten.</p> | |||
<p>§. Of the three parts of every Form-regarding Proposition islb/> | |||
1. the <sic>Enuntiation</sic>. 2. the preparation. 3. the demonstration: or<lb/> | |||
1. the <sic>Enuntiations</sic>. 2. the Preparations. 3. the Demonstrations</p> | |||
<note>1<lb/> | |||
Parts of every proposition<lb/> | |||
1 The <sic>enuntiation</sic><lb/> | |||
2 The demonstration<lb/> | |||
3. The preparation</note> | |||
<p>1. In every mathematical proposition, three <add>mutually</add> distinguishable<lb/> | |||
parts, require to be distinguished: namely: (as they may respectively<lb/> | |||
be called) — 1. the <sic>enuntiation</sic>. 2. the preparation or say preparatory:<lb/> | |||
3. the demonstration</p> | |||
<note>2<lb/> | |||
So as per Euclid,<lb/> | |||
and his followers<lb/> | |||
See whether it can<lb/> | |||
be otherwise?</note> | |||
<p>2 In this case, at any <add>rate,</add> is every portion of discourse disregarded<lb/> | |||
by the appellation of a <hi rend="underline">proposition</hi> in the works of<lb/> | |||
Euclid and those of his followers. Remains to be seen whether<lb/> | |||
there be any and by what means by which this formulary<lb/> | |||
may be dispensed with, and the time, spaces, lines and matter<lb/> | |||
hitherto <del>occupied</del> employed upon it and occupied by it,<lb/> | |||
saved.</p> | |||
<note>3.<lb/> | |||
1. <sic>Enuntiation</sic> part<lb/> | |||
that by which <del><gap/></del> of<lb/> | |||
a certain state of things<lb/> | |||
the existence is simply<lb/> | |||
affirmed: nothing, to<lb/> | |||
induce belief, added</note> | |||
<p>3. By this <sic>enuntiation</sic> part [or say the <sic>enuntiation</sic>]<lb/> | |||
of a mathematical proposition understand a sentence or aggregate<lb/> | |||
of sentences wherein and whereby the existence of the <gap/><lb/> | |||
matter of fact in hand <add>or say state of things</add> is simply affirmed: without any thing<lb/> | |||
being therein said for the express purpose <add>in an express way for the purpose</add> of obtaining the readers<lb/> | |||
assent to it</p> | |||
<note>4.<lb/> | |||
2. Demonstration, that<lb/> | |||
whereby suggestions are<lb/> | |||
made having for object<lb/> | |||
the inducing belief<lb/> | |||
in the existence of the<lb/> | |||
state of things <unclear>enunciated</unclear></note> | |||
<p>4. By the demonstration part understand a sentence<lb/> | |||
or aggregate of sentences <del>whereby</del> wherein and whereby observations <add>remarks</add><lb/> | |||
are made having for their purpose or say their object or end-in-<lb/> | |||
view — the obtaining the assent of the reader to the enuntiation part:<lb/> | |||
meaning of course <del>the</del> <add>his</add> in<gap/> or say interior, or mental assent:<lb/> | |||
in contradistinction to his merely verbal assent.</p> | |||
<note>5<lb/> | |||
3. Preparation, that<lb/> | |||
by which are <del>presented</del><lb/> | |||
directed to be made<lb/> | |||
in the diagram employed<lb/> | |||
for elucidation of the <sic>enuntiation</sic><lb/> | |||
alteration for the<lb/> | |||
purpose of the demonstration.</note> | |||
<p>5 By the preparation part understand a sentence or aggregate<lb/> | |||
of sentences <del>having for their purpose <gap/></del> <add>occupied in</add> having for their occupation<lb/> | |||
the giving <unclear>directionsions</unclear> for the making in the diagram by<lb/> | |||
which exhibition is made of the enuntiation part certain alterations<lb/> | |||
which are regarded as serving to obtain such assent.</p> | |||
1831 May 23 1 M
Posology
II Morphoscopics
§. Propositions — Parts three
1
☞ May 26. Note, the marginals of this Section
being written after the text, vary from it in several places:
on which account the text will require to be varied
accordingly, or else rewritten.
§. Of the three parts of every Form-regarding Proposition islb/>
1. the Enuntiation. 2. the preparation. 3. the demonstration: or
1. the Enuntiations. 2. the Preparations. 3. the Demonstrations
1
Parts of every proposition
1 The enuntiation
2 The demonstration
3. The preparation
1. In every mathematical proposition, three mutually distinguishable
parts, require to be distinguished: namely: (as they may respectively
be called) — 1. the enuntiation. 2. the preparation or say preparatory:
3. the demonstration
2
So as per Euclid,
and his followers
See whether it can
be otherwise?
2 In this case, at any rate, is every portion of discourse disregarded
by the appellation of a proposition in the works of
Euclid and those of his followers. Remains to be seen whether
there be any and by what means by which this formulary
may be dispensed with, and the time, spaces, lines and matter
hitherto occupied employed upon it and occupied by it,
saved.
3.
1. Enuntiation part
that by which of
a certain state of things
the existence is simply
affirmed: nothing, to
induce belief, added
3. By this enuntiation part [or say the enuntiation]
of a mathematical proposition understand a sentence or aggregate
of sentences wherein and whereby the existence of the
matter of fact in hand or say state of things is simply affirmed: without any thing
being therein said for the express purpose in an express way for the purpose of obtaining the readers
assent to it
4.
2. Demonstration, that
whereby suggestions are
made having for object
the inducing belief
in the existence of the
state of things enunciated
4. By the demonstration part understand a sentence
or aggregate of sentences whereby wherein and whereby observations remarks
are made having for their purpose or say their object or end-in-
view — the obtaining the assent of the reader to the enuntiation part:
meaning of course the his in or say interior, or mental assent:
in contradistinction to his merely verbal assent.
5
3. Preparation, that
by which are presented
directed to be made
in the diagram employed
for elucidation of the enuntiation
alteration for the
purpose of the demonstration.
5 By the preparation part understand a sentence or aggregate
of sentences having for their purpose occupied in having for their occupation
the giving directionsions for the making in the diagram by
which exhibition is made of the enuntiation part certain alterations
which are regarded as serving to obtain such assent.
Identifier: | JB/135/212/001"JB/" can not be assigned to a declared number type with value 135. |
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1831-05-23 |
1-5 |
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135 |
posology |
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212 |
posology |
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001 |
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text sheet |
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recto |
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jeremy bentham |
street & co 1830 |
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antonio alcala galiano |
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1830 |
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46330 |
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