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gnox at Sep 26, 2017 05:06 PM

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3rd. If it would be permissible to transform one graph,
a, into another, b, it is permissible to scribe

4th. Whenever it is permissible to scribe

{{tex:
\vscroll { \ a\ }{b}
:tex}}

it is would be permissible
were a scribed, to scribe b.
5th. A vacant enclosure may be called a blot is not permissively scriptible, and as such is [called a blot?]
6th. Any enclosure having a blot in its area may be
cancelled or erased.

Here we have the three signs defined purely in
terms of [what?] the logical transformations from them
and to them without one word being said about what
the signs really mean. They are left to be applied
to whatever there may be that corresponds to them.
This is the Pure Mathematical point of view, a point
of view far from easy to a person as imbued with logical
notions as I am.

These 6 rules are not quite so convenient, as
are 3 rules, each double, which can without difficulty
be proved to follow from these 6. These
three double rules are what I call the three
fundamental alpha rules of existential graphs.

They are as follows:
I proceed to state them [Go to middle of p. 15]
1st, Rule of Erasure or Insertion
2nd, Rule of Iteration or Deiteration
3rd, Rule of Double Enclosure the Double Cut.

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3rd. If it would be permissible to transform one graph,
a, into another, b, it is permissible to scribe

4th. Whenever it is permissible to scribe
{{tex:
\vscroll { \ a\ } {b}
:tex}}
it is would be permissible
were a scribed, to scribe b.
5th. A vacant enclosure may be called a blot is not permissively scriptible, and as such is [called a blot?]
6th. Any enclosure having a blot in its area may be
cancelled or erased.

Here we have the three signs defined purely in
terms of [what?] the logical transformations from them
and to them without one word being said about what
the signs really mean. They are left to be applied
to whatever there may be that corresponds to them.
This is the Pure Mathematical point of view, a point
of view far from easy to a person as imbued with logical
notions as I am.

These 6 rules are not quite so convenient, as
are 3 rules, each double, which can without difficulty
be proved to follow from these 6. These
three double rules are what I call the three
fundamental alpha rules of existential graphs.

They are as follows:
I proceed to state them [Go to middle of p. 15]
1st, Rule of Erasure or Insertion
2nd, Rule of Iteration or Deiteration
3rd, Rule of Double Enclosure the Double Cut.