DNA, APOCALYPSE, & THE END OF THE MYSTERY

**The New Jerusalem
Diagram and the Missing Circle.**

J. Michell has reconstructed the
geometric pattern of the ‘heavenly city’ which is the template of the New
Jerusalem of *Revelation *21, St. Mary’s Chapel at Glastonbury, Stonehenge, and the City of Magnesia in
Plato’s *The Laws*.^{1} The present writer distinguishes the mathematical and
historical value of Michell’s work from the latter’s avowed antagonism to modern
science, his traditionalist disdain for the metric system, and his fundamental
perennialism
—
none of which attitudes are shared by the present writer. Indeed, it will
be made clear in what follows that the mathematical pattern of the esoteric and perennial
tradition presented by Michell is radically incomplete, and is, for the first time in
history, made complete by the mathematics of an essentially new thinking which in fact is
the transcendence in essence of the difference between modern and ancient systems, at once
the absolute and final closure of any aspiration whatsoever to ‘re-enter the primeval
paradise’. With that stipulation, Michell’s New Jerusalem diagram, which is the reconstruction of
the ‘heavenly city’, is as here illustrated:^{2}

Beginning with the Pythagorean
triangle of sides 3, 4, and 5, the large square (11 × 11) in this diagram is constructed such that the
circumference of the circle cutting across its sides (the circle of Michell’s
‘heavenly city’) is, if π = 22/7, a length (44 = 14 × 22/7) identically the length of
the perimeter of the square (44).^{3} The diameter of the outermost circle (the circle
enclosing the 12 ‘lunar circles’) is 17. The diameter of the circle inscribed in
the square (the ‘earth circle’) is 11. The diameter of the circle inscribed in
the four triangles is 5.5. The diameter of the circle nearest the center of the diagram
(the ‘thirteenth moon’) is 3. The point at the center of the diagram is taken to
be a ‘central dot’ (relative value =
) surrounded by a ‘circular space’ (relative value =
.2), either of which is understood to represent the ‘pole of the universe, passing
vertically through’ the center of the diagram, as here illustrated:^{4}

The whole figure is enclosed by a
12-sided polygon, corresponding to the sum of the sides of the Pythagorean triangle, 3 + 4
+ 5 = 12. The product of 3 × 4 × 5 = 60. 12 + 60 = 72, while 12 × 60 = 720.^{5} The original dimensions of the diameters,
, .2, 3, 5.5, 11, 14, and 17,^{6} multiplied by 720 yield 24, 144, 2160, 3960, 7920, 10080,
and 12240, where 7920 corresponds, on an adjusted scale, to the 12(000 furlongs) × 660 ft. side of the
New Jerusalem square.^{7}

This New Jerusalem diagram fits neatly into the
plan of the ‘heavenly whorls as revealed to Er’ in Plato’s *Republic*,
‘in the order given by Plato and proportioned in accordance with’ the values of
the musical sequence, 6, 8, 9, 12, 18, 24, 27, and 36, as here illustrated:^{8}

where the total diameter = 10368/36 = 288.^{ }The
total diameter of the first three rings (34 × 2 = 68) times 180 = 12240, the total diameter of the New
Jerusalem diagram, while that of first two rings (22 × 2 = 44) times 180 = 7920, the diameter of
the circle inscribed in the large square of the New Jerusalem diagram.

Now the truly remarkable fact is that in the
whole of Michell’s analysis of the geometrical pattern of the ‘heavenly
city’, indeed, no doubt because of the fact that in the whole history of the
appearance of the pattern from Stonehenge to Glastonbury there is no appearance of such an
element, nowhere is it noticed that there is one fundamental element *missing* from the pattern these thousands of years, viz., the
unmarked circle in which the 11 × 11 (or multiplied by 720, 7920 × 7920) square is implicitly
inscribed, as here illustrated (where the green circle
is the ‘missing
circle’):

The diameter of this ‘missing circle’ is 2^{1/2}
× 11 = 15.55634919
(or multiplied by 720, 11200).^{9 } In terms of the original, i.e., unadjusted, scale of
12000 furlongs in *Revelation* 21, this diameter would be 15556.34919. Now, among the
first 1 billion natural numbers there are only eight whose
integral products are either the 1st or 3rd parts of
themselves, that is, members of the classes to which belong, respectively, the uniquely
related numbers, 82944 and 27648. The sum total of these eight numbers is 124451, so that
the average value of the eight = 15556.375, with a difference ~ 1.7/1E6, the diameter of
the ‘missing
circle’ of the New Jerusalem diagram.^{10} 124451 is at once, with a difference ~ 5/1E5, 10 times
the circumference of the 1/(8^{1/2}
× 1E3) smaller
circle (5.5 × 22/7 × 720 = 12445) inscribed in the
four triangles which, in turn, are inscribed in the circle twice its size whose
circumference (11 × [π = 864/275] × 720 = 24883.2)^{11} is exactly .3 times 82944, that is, .3 times the
‘absolute dead center’ number,^{12} and which is in turn inscribed in the New Jerusalem
square, which latter is, again, in turn inscribed in the ‘missing circle’.

The radius of the ‘missing circle’ (= 7.778174595, when the diameter is taken to be
15.55634919) is exactly (6050^{1/2})/10, that is, 1/10th the ratio of the side of the New Jerusalem square (taken as 7920) to the side of the square (101.8233765) inscribed in the ‘circular space’ which is the central
shaft through which passes the ‘pole of the earth and universe’, which latter
square is the side of the ‘absolute dead center’ cube, as here illustrated (the
side of the cube the square inscribed in the central shaft): [If your browser does not display this image click
here; use back button to return to this place.]

The ‘absolute dead center’ cube, first constructed in 1985 in the context of the elaboration of the logic of the
essentially new thinking now actually occurring for the first time in history,^{13} fits perfectly,
organically, and with absolute appropriateness into the place at the very center of the
New Jerusalem diagram, the 1/36th part of its side (10368/36 = 288 = √82944 = 3168/11), its central square,^{14}
corresponding precisely to the square (16.97056275 × 16.97056275) inscribed in the ‘central dot’ of the diagram [inset], the area of which ‘dot’ is the fundamental measure of the New Jerusalem diagram, 3168/7 or 452, or 1 New Jerusalem unit.^{15}

The diameter of the ‘earth circle’ inscribed in the square
inscribed in the ‘missing
circle’ is 7920, which, divided by 720,
is the original 11. This 11 is effectively the value of the diameter (= 11) of the decagon formed by the double helix structure of the DNA molecule,
which decagon is visible in the top-down view of the molecule. The
ratio of the circumference of the circle in which the DNA decagon is
inscribed (≈ the circumference of the ‘earth circle’ divided by 720) to the circumference
of the ‘missing
circle’ of the New Jerusalem diagram is
effectively 101.8233765, the edge of the ‘absolute dead center’ cube.^{16}

**Postscript Concerning
Michell and the Missing Circle**

In September 1992 the writer wrote to J.
Michell to convey to him the essentials of the preceding analysis. No response to this
letter has been received to date. But in his 1994 book, *At the Center of the World*,
in a chapter entitled "The Cosmological Prototype," Michell recapitulates his
previous analysis of the New Jerusalem diagram, but now adds the following diagram:^{17}

Michell writes: "To complete
[the] outline of the [New Jerusalem] diagram, the original circle with radius 5040
is enclosed within a ‘vesica’,
the first figure of symbolic geometry. The longer axis of the vesica is calculated to be
17460, the previously mentioned number of fusion, and that number is also the side of the
square containing it. A circle is constructed to contain the square, and the area of that
circle is (if π = 22/7) exactly 12! or
the numbers 1 to 12 multiplied together, or 1 ×
2 × 3 ×
4 × 5 ×
6 × 7 ×
8 × 9 ×
10 × 11
× 12."^{18}
While it might appear that the analogue of the ‘missing circle’ is
here in the form of ‘this image of completeness’, it turns out that this is not the case, as is demonstrated
when the ‘missing circle’ is
relocated within this ‘completed’
form of the New Jerusalem diagram:

Indeed, when the ‘missing circle’ is placed within *its* ‘vesica’, the square upon
the length of its longer axis is inscribed in the *true* analogue of the ‘missing circle’, which true analogue *transcends* the circle of ‘completeness’ just as the ‘missing circle’ itself transcends
the ‘cosmological circle’
of the original diagram:

Here the circumference of the outermost circle
— the
circle of transcendent completeness — the true analogue of the ‘missing circle’ (the ratio
of the former to the latter ≈ √6 : 1) — divided by 1E5
~ α*z ~ (α**y*)^{.}^{5}, i.e.,
~ the
product of the fine structure constant and the edge of the cube whose surface area is the
sum of the three unique numbers identically their integral
products, at once ≈ the square root of the product of the fine structure
constant and the edge of the ‘absolute
dead center’ cube.^{19 } The ‘original’
diameter of this circle (the diameter divided by 720)
≈ (1E2)/φ^{2}, while the ‘original’ diameter of the
outermost circle of the ‘image of completeness’, the length of whose circumference is now seen to coincide
the length of the perimeter of the square constructed upon the length of the ‘vesica’ of the ‘missing circle’, ≈ the angstrom circumference of the
DNA molecule.^{20}

**The Logically Outfitted
Triple Absolute Dead Center Cube and the New Jerusalem Diagram**.

The volume of the triple ‘absolute dead
center’ cube is, with a difference ~ 3/1E4, 3168000, 100 times the ‘squared
circle’ of the New Jerusalem diagram. The ratio of the body diagonal of the triple
New Jerusalem cube (26267.66834, with a difference ~ 6/1E5, 1E4 × 82944/31680, or, with a
difference less than 1/1E2, 1E4 × φ^{2})
to that of the
triple ‘absolute dead center’ cube
(337.7099347, the square root of Plato’s ‘World Soul’ number, 114048)^{21} is exactly 6050^{1/2} or 10*r*,
10 times the radius of the ‘missing circle’ in the New Jerusalem diagram.^{22} The ratio of surface areas of the two structures is 6050
or (10*r*)^{2}, the square of 10 times the radius of the ‘missing
circle’, while the ratio of their volumes is 6050^{1.5} or (10*r*)^{3},
the cube of 10 times the radius of the ‘missing circle’.

**
The Integration of The New Jerusalem
Diagram, The Triple Absolute Dead Center Cube, The Universal Form of All Logical
Propositions, and the Logical Proportion, 1 : 2 :: 4 : 3.**

Let the four overlapping triangles whose twelve
vertices support the twelve ‘lunar circles’ of the New Jerusalem diagram^{23} be the four alternating triangles of 1’s and
’s (alternating, green, yellow, green, yellow) each of
which has one side which is the diagonal of one of the four parallel planes of the triple
absolute dead center cube,^{24} and let
each of the three members of the four sets of ‘lunar circles’ be identified by
the triangle supporting it as either
or 1, yellow or green, as here
illustrated: [If
your browser does not display this image click
here;
use back button to return to this place.]

Then the four sets of ‘lunar circles’
are, clockwise from the top,
1 (2 yellows, 1 green), 1 (1 green, 2 yellows), 11 (2 greens, 1 yellow), and
11 (1 yellow, 2 greens), where the logical relationship of these four sets is indicated
by the set of 0’s (blues) composed of the two diagonals which parallel the 1 and diagonals of the four
parallel planes of the triple cube and the two diagonals connecting these two,^{25 }so
that the most direct path along the lines of reflection represented by the four diagonals
of 0’s (blues) transforms the immediate clockwise 1-2-3-4 order of the
four sets of ‘lunar circles’ to the 1-2-4-3 reflective order of the
‘logical’ proportion,^{26 }that is, to the order of the proportion,
1 (*yyg*) : 1 (*gyy*) ::
11 (*ygg*) : 11 (*ggy*), which, when *p* =
" (*y*) is
the first ‘lunar circle’," and *q* = " (*y*) is the second
‘lunar circle’," is in the form of the universal form of all logical
propositions, _{}.^{27}

**Notes
**

^{1} J. Michell, *The Dimensions of Paradise: The
Proportions and Symbolic Numbers of Ancient Cosmology* (London, 1988). For the New
Jerusalem pattern in the larger context of mathematical symmetry and design science, see
J. Kappraff, *Connections: The Geometric Bridge Between Art and Science* (New York,
1991). For the New Jerusalem cube dimensions in
Revelation 21:16, see, on this web,
Physical Variables, Placedness, & the Absolute Dead Center Cube, note 1.

^{2} After
Michell, *The Dimensions of Paradise*, p. 36.

^{3} Ibid., pp.
68f.

^{4} Ibid., p.
39.

^{5} Ibid., pp.
36ff.

^{6} The
product of these original dimensions is, with a difference ~ 7/1E5, the square root of
82944 (cf. D.G. Leahy, *Foundation: Matter the Body Itself* [Albany, 1996], Sections
III and IV, passim), the full significance of which is treated below in the text.

^{7} Michell, *The
Dimensions of Paradise*, pp. 24f.

^{8} After
Michell, *The Dimensions of Paradise*, pp. 145ff.

^{9} If for the
diameter 15.55634919 is substituted the *L* series value 15.5 (cf. Leahy, *Foundation*,
Section IV.2, pp. 519ff.), then the sequence of the diameters of the major circles of the
New Jerusalem diagram, including the ‘missing circle’, is 11, 14, 15.5, and 17,
and the *L* series partial sums for these values are: *S*_{11}
= .75(11^{2} + 11) - 5.5 = 93.5, *S*_{14}
= .75(14^{2} + 14) = 157.5, *S*_{15.5} = .75(15^{2} + 15) + 8 = 188, and *S*_{17}
= .75(17^{2} + 17) - 8.5 = 221. The sum of this sequence of *L*
series partial sums is exactly 660, the multiple of 12(000) furlongs which produces the
7920(000) unit side of the New Jerusalem square, and exactly ten times the sum of all the
whole number diameters of circles within the diagram (3 + 5.5 + 11 + 14 + 15.5 + 17 = 66).
8 (the cubic number) × 15.55634919 × 1832 (this
last the transcendental constant, P_{1.5c} [cf. Leahy,*
Foundation*, Section III.5]) = 228096, exactly the total interior and exterior surface
area of the triple ‘absolute dead center’ cube (cf., on this web,
Logically Outfitted Cube[s]).

^{10} The sum
of all of the first 1 billion natural numbers whose integral products are unit fractions
of themselves the denominators of which are primary digits of the number system other than
1 or 3 (excluding 2985984 and 429981696, multiples of 82944 [cf. Leahy, *Foundation*,
Section III.7]), is 47536, which is, with a difference ~ 3/1E4, the sum of all the whole
number diameters of circles within the New Jerusalem diagram (see above) multiplied by 720
([3 + 5.5 + 11 + 14 + 15.5 + 17 = 66] × 720 = 47520).

^{11} For the
use here of this alternate value of p, cf. Michell, *The Dimensions of Paradise*, p. 24.

^{12} Cf.
above, n. 6.

^{13} Ibid.
The integral product of the Hebrew for dead center,_{ }
נקדת האפס של תנופה, is 8.2944E22, and its rational product is 1. This is the
‘point zero of momentum’, ‘point zero of swing’, indeed, in effect, *still
point of the turning*. _{ }
נקרת האפם של
תנוחה, ‘point zero of
position’, ‘point zero of rest’, has the identical integral product,
8.2944E22, while its rational product is 1E1. In their integral product or
‘absolute’ forms, ‘point zero of momentum’ and ‘point zero of
position’ are identical. The rational priority of ‘absolute’ dead center,
‘absolute’ unconditioned position, to ‘absolute’ unconditioned
momentum is caught in the priority of its rational product, 1, to the latter’s 10. But conceived essentially the identity of momentum and position is resistance. The
division within identity which is of the essence of modern consciousness is then manifest
in physics as the fundamental distinction of momentum and position as alternative
conceptions, which duality of concepts essentially precludes the beginning of the
perception of resistance itself. But if it is understood that absolute point zero of
position is the temporal identity of body and that absolute point zero of momentum is pure
displacement, then the temporal identity of body is resistance identified with pure
displacement, and for any body the greater its resistance the less is the identification
of its temporal identity with pure displacement. The body of perfect resistance is the
body whose temporal identity is not identified with pure displacement: the body of the
resurrection. The resurrection body, the body of perfect resistance, the body itself now
beginning to exist, is the body that experiences no resistance, the body for which the
universe is perfectly ordered. Indeed, the body for which the universe is perfectly
ordered is in fact the body which perfectly orders the universe. In the first instance
this is the body of Jesus Christ the Son of the Father, concerning whom Paul writes in *Colossians*
1:17,
καὶ τὰ πάντα ἐν αὐτῷ συνέστηκεν, ‘and all things hold together in him’. This is
the text which epitomized for Jonathan Edwards his notion that the very essence
of body is resistance which is in turn an immediate effect of God’s creative
activity (cf. J. Edwards, *Scientific and Philosophical Writings* [*The
Works of Jonathan Edwards*, Volume 6, ed. W.E. Anderson, New Haven 1980]).
The integral product of this Pauline text is 8.2944E38, while its rational
product is 1E1. The body of perfect resistance, the body of the resurrection, is
also the body of all who are raised from death, concerning which Paul writes in
1 Corinthians 15:44, ἐγείρεται σῶμα πνευματικόν, ‘what is raised is the
spiritual body’, the integral product of which statement is 8.2944E40. The
integral product of ἡ ἐσχάτη ἡμέρα (*John* 6), ‘the Last Day’, is
8.2944E16. In the form of the absolute objectivity of the
thinking now occurring for the first time in history the body of the resurrection is the
very form of thought: the new thought is the beginning of the body of perfect resistance:
the beginning of the body which perfectly orders the world.

^{14} For the
conception of the ‘central square’, cf. Leahy, *Foundation*, Section IV.2.

^{15} Cf.
Michell, *The Dimensions of Paradise*, p. 39, et passim. The precise, unadjusted,
value is 144p, a value uniquely recurring in the ‘dead center cube’ (cf. Leahy, *Foundation*,
Section IV.2, p. 524, n. 98, and p. 525, n. 99). If the value
is
incorporated in a series of ratios composed of itself together with the natural numbers
whose integral products are times
themselves, thusly, : 48 :: 147 : 972 :: 11907 : 27648, the rational
product of this series is, with a difference ~ 6/1E4, 1 New Jerusalem unit/1E6. The *L*
series partial sum for this sum of elements (neglecting
) is *S*_{40722} = .75(40722^{2} + 40722) = 1243741505, with a difference less than 1/1E2,
the square of the circumference (720 × 48.89138317 = 35201.79588) of the ‘missing
circle’. (For the fact that the inverse 4th root of the 100th part of circumference
of the 'missing circle' is the factor common to the weak and strong force exponents of
82944, see, on this web, 82944 & the Four Fundamental Forces &
the God Particle.) The diameter of the ‘missing circle’ (720
× 15.55634919 = 11200) is the base linear measure of the side of the ‘absolute dead
center’ cube times the sum of the three separately calculated sequential sums of the
1st three rows of the 10 × 10 grid superimposed on the ‘infinite logical
lattice’, where the diagonal of the grid is a ribbon of 1’s descending left to
right (cf., for example, Leahy, *Foundation*, Section III.4), that is, √10368
× 110. (110φ, with a difference ~
3/1E5, is the square root of the New Jerusalem ‘squared circle’, that is, the
square root of 31680 [= 44 × 720 (see above)], while 110φ^{2}, with a difference ~ 6/1E5, is the square root of the
‘absolute dead center’ number, 82944.) The partial *L* series sum for the
metric value of the velocity of light (*S*_{299792458} =
.75[299792458^{2} + 299792458] = 6.74066386301057E16) is, with a difference
~ 2/1E4,

^{[1 × 784 × 82944 = (9!/}_{}^{i)}^{ = 6.5028096E7]}^{ × 1.0368E9,}

while the partial *L* series
sum for the inverse value of the Planck constant, *S*_{1.05457266E-34}-1, =
6.74385536519925E67, so that, with a difference ~ 5/1E4, *S*_{1/} = *S _{c}* × 1E51. Since, with almost the exact difference, 1E51 = (1/

^{1 × 784 × 82944 = (9!/}_{} ^{i)}^{ = 6.5028096E7,}

is a function of relations of the foundational
digits of the natural number system. In addition to 27648 there are four other natural
numbers whose integral products are their 1/3rd parts, viz., 48 (where 4^{2}
= 16), 147 (where [1 × 7]^{2} = 49), 972 (where [9 × 2]^{2} = 324),
and 11907 (where [1 × 9 × 7]^{2} = 3969), whose third parts, however, are not the ninth
parts of larger numbers whose integral products are the larger numbers themselves (the
relation unique to 27648 and 82944 among natural numbers [cf. the formula above in the
text]). But the 1/3rd part of the product of the first two of these numbers multiplied by
27648 is 6.5028096E7, i. e., (48 × 147 × 27648)/3 = 1 × 784
× 82944 = 6.5028096E7.
This last radically foundational number appears linguistically in the integral
products of the foundational notions, ἡ καταβολή κόσμου (‘foundation of the
universe’ 6.5028096E23]), ἐγώ εἰμι τὸ φῶς τοῦ κόσμου (*John* 8:12: ‘I am
the light of the universe’ [6.5028096E47]), Ἰησοῦς Χριστὸς
κόσμου (‘the cosmic Jesus Christ’ [6.5028096E39]), and ἡμεῖς δὲ νοῦν
Χριστοῦ ἔχομεν (1 *Corinthians* 2:16: ‘we have the mind of Christ’
[6.5028096E41]). The integral product of Euclid’s term (*Elements* VI,
def. 3) for the primary partition of unity, ὁ άκρος καὶ μέσος λόγος (‘the
extreme and mean ratio’ [‘the golden section’]) is 6.5028096E37. Finally, the
integral product of Plato’s term in the *Timaeus* (33a) for the ordered
totality of the ordered universe, ἕνα ὅλον ὅλων_{ }(‘one whole of
wholes’), approximates — the difference ~ 0.08 pph — (1 + 784 + 82944)^{1/2}
× 1E8 × 784 × 82944. This, in turn, mirrors the integral product of the larger
context of the phrase in Plato’s text, ἕνα ὅλον ὅλων_{ }ἐξ ἁπάντων
τέλεον καὶ ἀγήρων καὶ ἄνοσον αὐτὸν ἐτεκτήνατο (‘he fashioned it as a single
whole consisting of all these wholes, complete and free from age and sickness’
[trans. F.M. Cornford (London, 1941)]), which approximates — the difference ~
0.08 pph — (1 + 784 + 82944)^{1/2} × 1E78 × 784 × 82944. The integral
product of the whole sentence in which the phrase appears, διὰ δὴ τὴν ἀιτίαν καὶ
τὸν λογισμὸν τόνδε ἕνα ὅλον ὅλων_{ }ἐξ ἁπάντων τέλεον καὶ ἀγήρων καὶ
ἄνοσον αὐτὸν ἐτεκτήνατο_{ }(‘For this reason and so considering. . ..’
[ibid.]), approximates — the difference ~ 0.08 pph — 7.84E138 or
6.5028096E143/(1 × 82944). The integral products of η καταβολή (‘the
foundation’), Ἰησοῦς Χριστὸς
(‘Jesus Christ’), and ἐγὼ τὸ ῍Αλφα καὶ τὸ ῎Ω (‘I am the Alpha at once the
Omega’) are, respectively, 8.2944E12, 8.2944E28, and 8.2944E32.

^{
16 }For the
foundational role of the edge of the dead center cube, cf. Leahy, *Foundation*,
Sections III.5 and IV.2.

^{17} After J. Michell, *At the Center of the World: Polar Symbolism Discovered in
Celtic, Norse and Other Ritualized Landscapes *(London, 1994), p. 171.

^{18} Ibid.

^{19} For the complex series the sum of which = α*z *and
(α*y*)^{.}^{5}, and for the
linguistic analogues thereof, see Leahy, *Foundation*, pp. 524ff. For the three
unique numbers identically their integral products, see
above, note 15.

^{20} For the ‘original’ lengths of the New
Jerusalem diagram, and the angstrom length of the DNA molecule, see above, "The
New Jerusalem Diagram and the Missing Circle."

^{21} Cf. Michell, *The Dimensions of Paradise*, pp.
163ff., for Michell’s analysis in support of his hypothesis that 114048 is what Plato
had in mind as the number which reacts ‘to every part of the created universe’.
The fact that 114048^{1/2} is the body diagonal of the triple ‘absolute dead
center’ cube is evidence of the truth of this hypothesis.

^{22} See
above.

^{23} Ibid.

^{24} See, on
this web, Logically Outfitted Cube(s).

^{25} Ibid.

^{26} Cf.
Leahy, *Foundation*, Section III.1.

^{
27 }If, where
the distinction of the two subsets, first and second places, and third place, provides the
basis for the calculation, the logical values of the four sets of New Jerusalem
‘lunar circles’are substituted as the elements of this proportion, the
proportion reads 1 : 1 :: : 0, which is a transposition of the fourfold minimum proportion
of the elements of the trinary logic in which "Identity is unity" (cf. Leahy, *Foundation*,
Section III.1, "Afterword 2").