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# JB/135/116/001

Completed

1831. May 3. Seen May 14.

Posology — Arithmetic Alegomorphy — its relation to morphoscopics

8

153 1. Elucidation of
Alegomorphics

Mode of explaining
arithmetical operations
1. Show their relations
2. Simplest first
3. Give examples of all
4. Show the origin of
abstract in material
ideas.

154 or 2. Elucidation of
Alegomorphics

In arithmetic equality
is but synonymity
with or say equivalence

155 or 3. Elucidation of
Alegomorphics

156 or 4.

Multiplication second.

5
Substraction third.

6
Division fourth.

7.
As multiplication is
to substraction.

8
Go next to square
and cube numbers
with ulterior powers.

9
Then to proportionality

10.
Rule of four: Uncharacteristic
are both
locutions.

11.
Show relation of proportionality
to

---page break---

157. 12 Elucidation of
Alegomorphics

From square numbers
and roots of the
squares show the
relation between
arithmetical and
geometrical expression.

158. 13. Elucidation of
Alegomorphics

Correspondent the
two modes as far
as square x2 and
cube x2. There the
analogy ends. To
x4 no delineated
figure corresponds.

159. 14 Elucidated by
Alegomorphics or
Morphoscopics

Thence show only by
arithmetic can geometrical
ideas be
clarified.

160. 15. Elucidated by
Alegomorphics,
Morphoscopics

Analogous to arithmetical
repetends
and circulates are
geometrical incommeasurables.

161 16 Elucidated by
Alegomorphics
or Morphoscopics

A circulate is a compund
repetend.

162. 17. Elucidated by
Alegomorphics
or Morphoscopics

Source of repetends the
decimal system —
Would they be extirpated
by the duodecimal?

163 18. Elucidated by
Alegomorphics
or Morphoscopics

Fraction supposes
division: show relation
between vulgar and
decimal.

164. 19. Elucidated by
Alegomorphics
or Morphoscopics

Arithmetic explains geometry:
number of atoms,
constitute figures
atom means indivisible.

---page break---

165 20 Elucidation
Alegomorphics

In actual division
chemistry goes further
than mechanics:
colour than lines.

166.
Elucidation of
Alegomorphics
is by translation

☞ May 3. 1831

other paper
All that is done by
alegomorphics is done
by translating: namely as equivalents
(synonyms included)
one into another.
Quere as to doctrine
of probabilities: subject
matter of enquiry
in this case — not borders,
and thus boundaries and parts, but
events: or perhaps
occurrences are clearly
states of things, consistent
as having
place in different
portions of time.

Identifier: | JB/135/116/001
"JB/" can not be assigned to a declared number type with value 135.

1831-05-03

153-166

135

posology

116

posology - alegomorphic in relation to morphoscopic

001

marginal summary sheet

1

recto

c1 / f8

jeremy bentham; richard doane

j whatman turkey mill 1829