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<p>1831. June 6</p> | |||
<head>Posology.</head> | |||
<note>Introduction<lb/> | |||
§. Branches of Posology</note> | |||
<p>1.<lb/> | |||
§ IV, Branches of Posology.</p> | |||
<p>2.<lb/> | |||
So many subject matters<lb/> | |||
or modifications of one<lb/> | |||
all-comprehensive matter<lb/> | |||
so may branches<lb/> | |||
— subject matter real<lb/> | |||
and even fictitious<lb/> | |||
entities. In regard to<lb/> | |||
real entities —<lb/> | |||
1. Quantities, form-<lb/> | |||
disregarding<lb/> | |||
2. Quantity, form-regarding<lb/> | |||
3. Motion.</p> | |||
<p>3.<lb/> | |||
Here a fictitious entity.</p> | |||
<p>4.<lb/> | |||
Ancient logicians<lb/> | |||
distinguished matter<lb/> | |||
into continuous and<lb/> | |||
<sic>uncontinuous</sic>: every<lb/> | |||
mass has form: beyond<lb/> | |||
one there must be<lb/> | |||
masses more or less<lb/> | |||
distant: <del><gap/></del> arithmetic<lb/> | |||
the denomination<lb/> | |||
of what belongs<lb/> | |||
to number.</p> | |||
<p>5.<lb/> | |||
Presently will be<lb/> | |||
seen how the mind<lb/> | |||
arrives <del><gap/></del> at form<lb/> | |||
and quantity regarding<lb/> | |||
branch,<lb/> | |||
next quantity-<lb/> | |||
regarding — first<lb/> | |||
called Geometry —<lb/> | |||
second Arithmetic.</p> | |||
<p>6.<lb/> | |||
Abstraction is the<lb/> | |||
instrument-operation<lb/> | |||
— by which this<lb/> | |||
distinction is</p><pb/> | |||
<p>7.<lb/> | |||
Although number<lb/> | |||
without form is last<lb/> | |||
come to, yet very<lb/> | |||
simple and easy<lb/> | |||
in comparison of<lb/> | |||
form — this easiest<lb/> | |||
this first.</p> | |||
<p>8.<lb/> | |||
Scientific alegomorphics</p> | |||
<p>In arithmetic two<lb/> | |||
branches — 1. ordinary<lb/> | |||
or numeral — 2.<lb/> | |||
extraordinary, literal,<lb/> | |||
symbolical, or transcendental,<lb/> | |||
commonly<lb/> | |||
called Algebra: to an<lb/> | |||
English ear Algebra<lb/> | |||
unmeaning.</p> | |||
<p>9.<lb/> | |||
The literal signs<lb/> | |||
are signs of<lb/> | |||
signs of the second<lb/> | |||
order.</p> | |||
1831. June 6
Posology.
Introduction
§. Branches of Posology
1.
§ IV, Branches of Posology.
2.
So many subject matters
or modifications of one
all-comprehensive matter
so may branches
— subject matter real
and even fictitious
entities. In regard to
real entities —
1. Quantities, form-
disregarding
2. Quantity, form-regarding
3. Motion.
3.
Here a fictitious entity.
4.
Ancient logicians
distinguished matter
into continuous and
uncontinuous: every
mass has form: beyond
one there must be
masses more or less
distant: arithmetic
the denomination
of what belongs
to number.
5.
Presently will be
seen how the mind
arrives at form
and quantity regarding
branch,
next quantity-
regarding — first
called Geometry —
second Arithmetic.
6.
Abstraction is the
instrument-operation
— by which this
distinction is
---page break---
7.
Although number
without form is last
come to, yet very
simple and easy
in comparison of
form — this easiest
this first.
8.
Scientific alegomorphics
In arithmetic two
branches — 1. ordinary
or numeral — 2.
extraordinary, literal,
symbolical, or transcendental,
commonly
called Algebra: to an
English ear Algebra
unmeaning.
9.
The literal signs
are signs of
signs of the second
order.
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