His Sons Stirred Up

The text continues with the counter-attack of the king of the north upon the south.

-- Click To Expand/Collapse Bible Verses -- Dan ch11:v10-12
Dan 11:10 But his sons shall be stirred up, and shall assemble a multitude of great forces: and one shall certainly come, and overflow, and pass through: then shall he return, and be stirred up, even to his fortress.
Dan 11:11 And the king of the south shall be moved with choler, and shall come forth and fight with him, even with the king of the north: and he shall set forth a great multitude; but the multitude shall be given into his hand.
Dan 11:12 And when he hath taken away the multitude, his heart shall be lifted up; and he shall cast down many ten thousands: but he shall not be strengthened by it. (KJV)

Now, we may divide up the Northern part of the southern octal against the southern fortress to the four octals

{b,d,f}, a = 1, [c,e,g]
{a,d,f}, b = 1, [c,e,g]
{a,b,f}, d = 1, [c,e,g]
{a,b,d}, f = 1, [c,e,g]

with north on the left and south on the right.

Now, we may state that one of these rows is certainly the state of the southern octal, although it is formed from four northern octals, one for each "son". In the northern octal under his own power, the one son, (lets use [a,d,f]) passes through, (the unity element "b" passes through the fortress of the south as before: so the situation is once again reversed.

[a,d,f], b = 1, {c,e,g}
[a,d,f], c = 1, {b,e,g}
[a,d,f], e = 1, {b,c,g}
[a,d,f], g = 1, {b,c,e}

now "b" marches from unity through the fortress of the south. - In this manner it "overflows" and "passes through".

After doing this he returns to his own fortress. (We used [a,d,f] - yet we would return to [b,d,f] as before)

[b,d,f], a = 1, {c,e,g}
[b,d,f], c = 1, {a,e,g}
[b,d,f], e = 1, {a,c,g}
[b,d,f], g = 1, {a,c,e}

Now the king of the south is moved with anger (Note that the king of the south is still {c,e,g}) And the king of the south {c,e,g} comes forth (out) to fight with the king of the north - we see this in the rows:

[b,d,f], c = 1
[b,d,f], e = 1
[b,d,f], g = 1

The king of the north sets forth a great multitude seen (alongside [b,d,f]) in the force of "a" = 1, which opposes the king of the south {c,e,g}.But it is given into the hand of the king of the south, (i.e. a is enclosed within {c,e,g} in the sets {a,e,g},{a,c,g},{a,c,e}. The result is that only {c,e,g} remains after "a" is removed from the centre.

The "heart of the king" is lifted up, and we may equate this to the triples of {a,c,e,g} which stand with the static bow and unity - that he is not strengthened by it is that {c,e,g} is equivalent in congruence to "a = 1" alone. In casting down many ten thousands (sending "a" to nothing or the empty set, by the lifting up of the king's heart) we see that the authority of the northern static group [b,d,f] is emulated by the elements in triples. If the king's heart is lifted up, we may send with "a = 1" in a fashion of absorption

{a,e,g} => {e,g}
{a,c,g} => {c,g}
{a,c,e} => {c,e}

And these triples in both the operations of the northern or southern octals form a K4 group. However by analogy; these evaluate to {b, d, f} or {c, e, g} in the north and south respectively. There is no "defeat"of either. (The south is not strengthened in the north) We are given that in sending "a" to nothing or absorbing it, many ten thousands are cast down. The more that stand against the south as would the northern force of "a", all the more are cast down to the effect that they are given into the hand of the south.

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