To Robert's Translation of the "Amazing Coincidence" Argument


Robert's Translation of Pages of Truth-Engine Logic

Throughout Atlan these rooms differ. The room of instruction at the Truth Engine in the capital city is ten strides long by ten strides wide. A very thick pillar stands at each corner. As the initiate enters this room, he or she faces a round desk and a chair near the far wall. At the far right, in the corner, is a large wooden panel-cabinet [mish-paahk]. In the middle of the room, between the door and the chair, the floor has been built around an old stone well that, it is said, is the well that was built by Atallas, the founder of the capital city of Atlan, who arrived as a keeper of livestock and later reigned as king. They say Atallas’s farm stood on this spot.

The well is still a source of water.

The initiate steps into the room with a dialectician [skeopashu—referring to a particularly revered logician or debater] who will be his or her guide. To the initiate’s left and right two giant, gray metal statues of armored soldiers stand between the columns. Each soldier holds a light-flash weapon.

The guide shows the initiate to the chair. The teacher enters wearing a green robe, green sandals, and a tiny, bright-orange namat pin. Adopting a casual tone, the teacher speaks.

“Welcome to our school,” says the teacher. “Look at these four figures.” He pulls a panel from the cabinet. On the panel the following figures have been drawn.

the four signs

“I have chosen one of these four figures to serve as my example.”

Being prompted by the guide, the initiate asks, “Which one is your chosen one?”

“I will not tell you, but I will give some clues and show you how knowledge of one or two facts can lead to knowledge of another. Here I will show you the Three Laws.” He slides a panel from the cabinet. On the panel is written in red letters:

3 laws

The teacher asks the initiate, “Do you see how these are valid conclusions, how these are valid laws?”

“Yes. Clearly.”

The teacher frowns. “But if you knew them already, why in the world would you care to make them plain to your conscience mind?”

The guide prompts the initiate not to respond.

The teacher continues, “Do you know why you receive these lessons here beside the well of Atallas, where these two soldiers are portrayed as guarding what we do here?”

“No,” says the initiate.

The teacher says, “It was claimed that at the well of Atallas water was drawn from the center of the earth, from the eternal and unchanging realm. The Three Laws are of that eternal realm, so the well of Atallas is the symbolic source of the laws. To the uninitiated, the laws seem obvious, trivial, and without value, but we know they underlie the Argument Forms, which, together with the machinery of the Truth Engine, are such a powerful force against ignorance and evil that the men of iron here to our left and right must guard them. The dialectician is a lover of humanity, and the knowledge of these three simple laws allows him to fully manifest his love.”

“That is the first of the two Foundational Lessons,” the teacher says. “Are you ready for the second?”


The teacher gestures toward the four massive columns. “These columns,” he says, “represent the Four Models. These models are the four statement models that serve as the Four Pillars supporting the Truth Engine. Each model is written near the top of the column that represents it. See up there?”

The guide prompts the initiate to say, “I cannot see them. They are far above me.”

The teacher points to the four columns and says, “These Four Pillars of the Truth Engine, these Four Models that allow us to manifest our love as we speak to one another, look like this…” Leaving the laws panel displayed, he pulls another panel out of the cabinet. On this panel is written, in bright gold letters:

the four pillars

“These are the four wonderful pillars of peace and happiness that all dialecticians must know and revere,” says the teacher. “Knowledge of these Four Models guides the logicians of the engine in their heroic battle for truth.” He pushes the panel back into the cabinet and withdraws another one. On this one is written in black letters:

What the pillars stand for

At this point the teacher shows the initiate, step-by-step, how an argument should be constructed. These are the steps the teacher takes the initiate through:

How to Build a Powerful Argument

1. An argument has premises and conclusions. For instance:

If Aunt Elkha says she saw a ghost, then ghosts are real. (premise)

Aunt Elkha says she saw a ghost. (premise)

Ghosts are real. (conclusion)

The underline means “Therefore.”

2. Do not argue against a conclusion; argue against the premises.

3. To begin a preliminary draft of your argument, translate your statements into explicit logical form:

Translation of logical symbols


4. Write out a sketch of your argument, with the premises above the conclusions; use an underline to express “Therefore.” (See an example in step 1.)

5. Make sure your conclusions follow from the premises in accord with the Three Laws of the Trilogue, or with the single-inductive law. These are the Three Laws of the Trilogue:

The Deny-Other Law (DO) as Applied to Logic

This law allows you to construct a conclusion by changing the connector line(s) to its (their) complement(s) and negate.

For instance (the “+”, positioned low, signifies negation):

Deny-Other Law 1

Deny-Other Law 2

The Add-Anything Law (AA) as applied to logic

This law allows you to construct a conclusion by adding any connector line(s). For instance:

Add-Anything Law 1

Add-Anything Law 2

The In-Common Law (IC) as applied to logic

This law allows you to construct a conclusion by creating a third expression that has all and only the connector line(s) that the two premises have in common. For instance:

In-Common Law 1

In-Common Law 2

Examples of solid arguments (Where “p” and “q” each stands for any statement):


(For an example of Ash-Katl, see step 1.)



Categorical Statements

To Robert's Translation of the "Amazing Coincidence" Argument