
ISSN: 2644-1381
Paul TE Cusack*
Received: August 17, 2020; Published: September 11, 2020
*Corresponding author: Paul T E Cusack, BScE, DULE, 23 Park Ave, Saint John, NB E2J 1R2, Canada
DOI: 10.32474/CTBB.2020.03.000159
In this paper, we apply mathematics to some of the ideas presented in DC Dennett’s book: “On Consciousness. We see that such an approach can explain how the human mind and consciousness evolved. We use electrical engineer to devise a circuit of the mind.
Keywords: Consciousness; astrothoelogy math; evolution; mind
DC Dennett has written a book wherein he describes the functioning of the human mind. His description is in words. In this paper, I put numbers and functions and math to how I think the mind works. We will see how the sense evolved to meet the universal signal (Figures 1-3). A knowledge of AT Math is helpful from my previous papers on Astrothoelogy. We are being with the familiar Clairnaut equation. Clairnaut Differential Equation
ð0 = G3 / 3 = 1 - ln)7
= (-0.1447)7
= 0.000001330 ~ 0
Now, 221 / 2xG = 0.6994 ~ 7
1 / 7 = Economic Multiplier
1 / 6.997 = 14.29%
= 1 / 7
e1429 = 1.1536 = 1 / 0.866 = 1 / sin 60°
3 = 221 / t
t = 6.990 ~ 7
1 / t = E = 1 /7 = 0.1430
)0.1430)7 = 1.226
1 / 1.266 = 2.04 ~ 2 = L = Reaction Time
t2- t -1=1
t2 - t -2 = 0
t = 2;-1
Prime Numbers by Gauss
From reaction time t=0.200 sec
E =1/ t =1/0.2=5
t2- t -1= E =12/ t =1/0.2=5
t2 - t -6
t = 3;-2
ÄE = 1 / Ät
ÄE ·Ät = 1
5Ä·t = 1
5 (0.2) = 1
True! Moment of Creation Mom.=F ×d
t = f ×d
1 = F d (1 / t)
1 = (2.666) d (5)
d = 0.75 = 3/ 4 = 1 / s
st = 1
s = 1/ t = E
èE = s = Etsin
è1 = 1 sin
è = ð /2
Consciousness = ò t2 - t -1 = E
2t3 /3- t2 / 2- t = E
t2-3/ 4t -1 = 1/ √3
t2 - 0.75t - 1.577 = 0
t = 0.852;1.852
E = 1 / t = 54; 1.174
PE = Mc2
54 = M (8.9) = 6.00
PE = Mc2
1.174 = M (8.9)
M= 0.1307
A = 1 / 2bh
211 x 221 / 2
= 2.14175
2.14175/3 = 23.830
ðLn 23.03 = 3.136 ~
y = y’
Ln t = 1 / t
ð1 /=tfr=e1q/3.136 ~ 1 /
For the four triangles:
ð2x= 12// ð = 0.6366 = t0 Moment of Creation
t2 - t -1 = 0
|D| = 4 E = 11 Þ 11 dimensions Eigenvalue = 3 E = 5 Þ SE = SE’ Eigen Vector = √3 E = 2.67 Þ S.F.
P = i2R2
= (4 /3) 2 (2.67)
= 4.78
= 1 / 231
= Fdt
1 / 21 = 2.67(221) t
t = 85
E = 1 / t = 1 / 0.85
= 117.6
Ð Senses
F = Ma
2.67 = M(1 / √2) = 3.776 = 1 / 265
F = Ma
2.67 = 117.6a
a = 1 / 44 = 2.27
265/ 227 = 116.6 = Mass of the periodic table
V = iR
= (4 /3) (-2) = -8 /3
F = -ks
= - / 83 = -0.4233s
s = 6.3 = 1 / 0.1587
= 1 / 1- sin1
= 1- csc 60°
= 1 /Moment
= 1/ t = E
Ð senses = 2.67 = SF
The Concept of Multiple Drafts of Consciousness
t = 1 = (1- Ln t)-7
t = 1 / (1- Ln t)7
(1- Ln t)7/7 = 11/7
(1 - Lnt) = 1
Ln t = 0
t =1
=ÓSenses = 1 / ð + ð + √.6066 +)4 + = √3 1.0008
E = t2- t -1 = 12 -1-1 = -1
E = (1 - Ln t)7 = -1 @t = 1
Freq = 1/T = 1/ 1/ t = t = 1
E = (1 - Ln t)
Temporal Window
ð1 ≤ t ≤
E = (1 - Ln t)
= (1-Ln) 1 =1
E = (1 - Ln t)
ð= (1- Ln)
= -0.1447
t = 1 / E = -6.909
Period T = 251.6 1 / T = 397
Ät = 691-397 msec
= 294 ~ 300 Speech Act.
E = (1 - Ln t) 7
= (1- Ln(294))7
= 502.6 ~ 500 msec which is equal to the reaction time for a touch.
The Mind is a magnetic field with L=2 Henries
Ln 2 = 0.693~ 7
(1- Ln (294)) 0.693
= √3
Universal Signal is the inverse =1/√3 The Mind is tuned to the
universal signal.
358 msec -200 msec = 1580 msec = 1- sin 1
(1 - sin 1)7 = (1 - Ln t)7
(1- 0.8414)7 = 279 = 1 /358 = 1 / t = E
Sin 1 = Ln t
t == 232 E = 431
358 msec -200 msec = 1580 msec = 1- sin 1
(1- sin 1)7 = (1- Ln t )7
(1-0.8414)7 = 279 = 1 /358 = 1 / t = E
ÄE = 232- (1 /358)
= 0.232- 2.7932
= 256.1
E = (1 - Ln t)7
= (1- Ln256.1)
= 595~ 6
t = 1.681
20+200+358 = 570 = 1 / √3 Smell /Memory /Motor
Reaction Times: 1Amp=1 Coulomb/sec t = 1.602/ A
ðHearing 1.602/171 = 93.7 +220 = 314 =
Touch 1.602/ 218 = 734 +220 = 954
Taste 1.602/ 666 = 240+220 = 460
Smell 1.602/ 943 = 170+220 = 390
Sight 1.602/1115 = 144 +220 = 364
Range of reaction times:
314 ≤ t ≤ 954
Ät = (1 - Ln t) -7
tmin = (1- Ln.314)-7
= 8857
1 / t = E = 112.8
tmax = (1- Ln .954) = 471
1 / t = E = 21.23
ÄE = 112.8 - 21.23 = 1350 = 1 /74
Motor : 220+358 = 578 msec = 1 / √3 = Univ.Signal
E = (1- Ln t )7
t = (1- Ln 578)1 /7
= 1353 Cf 1350
E = 1 / t = 1 /1350 = 0.738 ~ 74
E = 73.8 = (1- Ln t) 7
73.81 /7 = (1- Ln t)
0.8486 = Ln t
t = 23.365
ð~=LnM ass
Now for the evolution of human consciousness: Human
Functions=5 Senses R=1
P = i2R
177 = 4 /32 1
P = VA
1777 = V A
177 = V ($ /3)
V = 4/3
V = ir
4/3= (4/3)(1)
Universal Circuit:
V = ir
(4 /3)(0.4233) = 3.14
1330 =Internal Clock. Now from the Circuit of the senses:
5644 -5444 = 0200msec = 0.2
1/0.2= 5= E
SE = SE’
t2- t -1 = 2t -1
Let t = 3
5= 5= E
Consider the input to the Mind as 1 / c2
E = Mc2
1 = Mc2
M= 1 / c2
1 / c2 = Mass = 1 / 0.8982 =
0.1113
E = 1057 = (-70 mV) + (35mV) = PE of a nerve cell.
1/ V =M
1 / E = Ln t
M = 1 / c2 = Ln t
0 = Ln t
t =1
N ow for the reaction time of the senses:
Motor 338msec
Sight 318
Hearing 100
Taste = 460
Touch 954
Ó2190 /5 = 438 = Average.
20+200+ 438 = 658
Range
tmin = (1- Ln 0.318)7 = 589
tmax = (1- Ln 0.954)7 = 936
Ät = 588
Emin = 1 /589 = 16977
Emax = 1 / 936 = 1.0683
ÄE = 17 / 2 = 0.8493
PE = Mc2
17 / 2 = Mc2
M= 946
M = Ln t
t = 257.6
Equations of consciousness:
sèi +n c2 os2 è = 1 = t = (1- Ln t)7
t = 1- (1-Lnt) -7
1-17 = 0 = (-Ln t) -7
0.8571 /7 = (-Ln t )-1 /7
33.99 = (-Ln t) -1
Ln t = -1 / 33.99
= 294.2
E = (1 - Ln t) 7
E = 251.6 = Period T
= 1 / freq
freq = 1 /397 = 1 / 4 = Touch Þ Pleasure and Pain
E = (1- Ln t )
ð1 ≤ t ≤
E = (1- Ln 1)
= 251.6
t = 397
E = 1 - Ln t
= -0.1447
t = 6.31
Ät = 691-397 = 294 = Speech Act 100+200 = 300 msec
The Mind as a magnetic field:
L = 2
Ln 2 = 0.693~ 7
(1- Ln 0.294) 0.693
= √3
= Smell
So, we have evolution working on the four F’s (Flight Feed,
Fight; ; Mate)
Sight = 65%
Taste = 17%
Smell = 12%
Hearing (Language) = 6.5%
Touch = 5%
65%+17%+12%+6.5%+5% = 105 = (-70+35) mV
Touch = e105 = 4 = |D|
Smell = √3 = Eigen vector
ÓSenses = 1 = Consciousness
ÄV = _70+35 = 105mV
V = iR
105.0 = (4 /3) (R)
R = 2625 = 1 /380 Hz Light = 1 / Sight = 1 / t
tð =Hearingfreq = 1 / ð
Taste = √0.666 =√G
G = 1 /150 = Language group.
è = 60° = ð /3
1 / c = 3 = 1 / Eigen value
t2 - t -1
=32-3-1=5 Þ SE = SE’
a. Sight=64% Mate (Sex) (5.1%) ; Feed (16.7%); Flight or
Flee (friend or foe)(42.2%)
b. Hearing (Language) =65% Feed (16.7%); Mate (5.1%);
Fight; Flee (42.2%)
c. Taste= 16.7% Feed [1].
d. Smell =12% Taste (Feed)
e. Touch =5.1% Mate (Pleasure or pain) (Figures 4-6).
So, we have sight, hearing, touch, smell, and taste- evolved.
Humans had ape sized brains for 3.5 me
1 / t = E = 286
E = (1 - Ln t)7
286 = (1- Ln t)7
2861 /7 = 1- Ln t
0.1443 = 1- Ln t
t = 2.3065
ðLÞnS i2g3h.t065 = 3.138 ~
The Human brain increased in size by 4 x’s at 2.5 mya M=4
( )( 2 )
K.E. = 1 / 2Mv2
= 1/2 (4) (1/√2)2
=1= t = E
è=-scino2s2 è = 1 Consciousness
t /M= 1 / 4 = 2.5 mya
KE /M= 1 / 4 ÞTouch ÞPleasure vs pain.
t = 6 mya
E = 1 / 6 = 1.67 Þ Taste ÞFeed.
Language (Hearing) 150,000 ya
√1 /G
= 1 / 150,000 = 1/ t = E
E = 6.66 = G
t = 10,000 ya Þ Cooking
E = 1 / 10,000 = 0.0001
12% ⇒smell ⇒ √3
( )
E = 1 / √3 x 1 /12%= 20.78
E = 1 / t = 1 / 481
E = (1- Ln 0.481) 7
= 146 ~ 150 = 1 /G
Cooking 150,000 ya
So, the equations for Consciousness are Cusack’s Consciousness Equations:
There are 9 simultaneous equations and 9 unknowns.
Dennett writes on evolution. He cites the third principle of
evolution:
Differential fitness”: the number of copies of an element
[HUMANS] that are created In a given time varies [T=0.418] ,
depending on interactions between the features of that element
[CONSCIOUSNESS] (whatever it is that makes it different from
other elements) and features of the environment [THE UNIVERSE]
in which it persist. [MY ADDITIONS]
The equation of consciousness in part is:
E = (1 - Ln t)
1 / t = (1 - Ln t)
t -1 = (1 - Ln t)
Derivative
-t -2/ -2 = 0- (1 / t )
1/2t2= 1/ t
1 / 2t = 1
2t = 1
2t -1 = 0
Derivative of the golden mean parabola at the minimum. Everything beautiful is the product of the Golden Mean Parabola, from architecture to cooking aroma.
Now, for the multiple drafts concept of Dennett:
E7 = (1 - Ln t) 7
(1/t) 7= (1 - Ln t) 7
(t -1) 7 = (1 - Ln t) 7
7/6 (-t -2/2) 6 = (0-7/ t) 6
7 / 6 (1 / 2t)6 = 16
M (2t) 6 = 16
2Mt -1 = 0
2 (7/6) -1 = 0
2.333t -1 = 0
t = 0.418
E = (1- Ln0.418)7
= 1.7298
~ √3
This is the inverse of the Universal Signal =1/√3. Human
consciousness evolved to meet its environment.
Consciousness
t = 1.618; - 0.618 t cannot be negative. So, t = 1.618
E7 = |(1- Ln 1.618)7
E7 = 5187 = 1.00
|
07 ~ 1
Note: The current 1/c^2 is the signal going into the ACT* Model
above crossing the Inductor (Mind L=2)
y = y’ = 2
Ó Plasticity + Ó Senses = 1 + 1 = 2 = L = Mind = y Þy = y’
1 / c2 = E / c2 = M E = Mc2
1 / c2 = 1 / 9 = 0.11111111. These are the nine equations with nine unknowns all equal to one.
We have seen that mathematics applied to Dennett’s theory is helpful. The numbers all work to end in the evolution of the sense and consciousness.
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