Key to the Extraterrestrial Messages by H. Campaigne

Read from the scan by GLM-OCR; expect the odd misread word.

25. These parse into:

(1 and 2) JAV;

(1 and 2) and 3) JAV;

(14 and 17) JAV;

((77 and 100) and 101) JAV;

(AV $\supset$ NMV) and (BV $\supset$ NMV) = (AV and BV) $\supset$ NMV;

0 JAV;

8 JAV; 8¹ JAV; 8³ JAV; 8⁴ JAV; 8⁹ JAV; 8¹⁰ JAV;

8¹⁰⁰ JAV; BV JAV = 8⁴⁰ JAV;

(BV and CV) JAV = BV + CV JAV;

(BV and CV) JAV = BV $\times$ CV JAV;

(BV and CV) JAV = BV⁴⁰ JAV;

1/2 JAV; 1 - 2 JAV; 0 - 3 JAV; 7/6 JAV.

This verifies beyond doubt the guess of 24.

26. There is a new word, JOV. The messages read JAV JOV:

0 1 JOV; 0 : BV JAV = BV JOV;

1/2 JOV; AV and BV JOV = AV - BV JOV;

(AV and BV in JOV) and 0 $\neq$ BV = AV $\div$ BV in JOV;

1 $\div$ 0 not in JAV; 1 $\div$ 0 not in JOV;

It is true that (AV $\div$ BV) $\times$ (CV $\div$ DV) = (AV $\times$ CV) $\div$ (BV $\times$ DV);

It is true that AV $\times$ DV < BV $\times$ CV = AV $\div$ BV < CV $\div$ DV. BV $\times$ DV $\neq$ 0;

AV JAV 0 1 < AV.

JOV is seen to be the field generated by JAV, in other words, the set of rational numbers. The next to the last message has a garble, an extraneous A.

27. This transcribes to:

(AV $\cdot$ BV) and (BV = AV) = HV. AV. BV.

Clearly HV means "logically equivalent," or "...".

(AV $\cdot$ BV) = (AV = BV) and (BV = AV)

(AV $\cdot$ BV) = (AV = BV) and (BV = AV).

28. These transcribe to

$\overline{GV}^2 = 3 = \cdot$ GV not in JOV;

$\overline{GV}^2 = 2 = \cdot$ GV not in JOV;

$\overline{GV}^2 = 5 = \cdot$ GV not in JOV;

$\overline{GV}^2 = 5 = \cdot$ GV in JEV;

JOV is in JEV;

JAV is in JEV;

$\overline{GV}^2 = 0 - 1 = \cdot$ GV not in JEV.

We have a new set, containing the rationals, and at least one irrational, but not the imaginary $\sqrt{-1}$. JEV is probably the real numbers.