## Animated Logical Graphs • 68

Re: Animated Logical Graphs • (14)(15)(16)(17)(18)(19)(20)(21)
Re: Ontolog ForumMauro Bertani

Dear Mauro,

Let’s take a another look at the Table we reached at the end of Episode 21.

I call it a Formal Operation Table — rather than, say, a Truth Table — because it describes the operation of mathematical forms preceding the stage of logical interpretation.  I know the word formal tends to get overworked past the point of semantic fatigue but I can still hope to revive it a little.  We’ll use other labels for Table entries at other times but I tried this time to mitigate interpretive bias by choosing a mix of senses from both Peirce and Spencer Brown.

Entering the stage of logical interpretation, we arrive at the following two options.

• The entitative interpretation of $\texttt{(} a \texttt{,} b \texttt{)}$ produces the truth table for logical equality.

• The existential interpretation of $\texttt{(} a \texttt{,} b \texttt{)}$ produces the truth table for logical inequality, also known as exclusive disjunction.

### Resource

cc: Cybernetics (1) (2) • Peirce (1) (2) (3) (4) (5) (6) (7) (8) (9) (10) (11) (12) (13) (14)
cc: Ontolog Forum (1) (2) • Structural Modeling (1) (2) • Systems Science (1) (2)
cc: FB | Logical GraphsLaws of Form

### 3 Responses to Animated Logical Graphs • 68

1. Poor Richard says:

I’m still thinking of which comes first, logic or math.  Isn’t it like the chicken and egg?

2. Jon Awbrey says:

I see them as more like Yggdrasill (math) and Ratatoskr (logic).

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