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Research Article | DOI: https://doi.org/10.31579/2690-8808/026
BScE, DULE, 23 Park Ave., Saint John, NB E2J 1R2, Canada
*Corresponding Author: Paul T E Cusack, BScE, DULE, 23 Park Ave., Saint John, NB E2J 1R2, Canada.
Citation: Paul T E Cusack, (2020) On Dennett’s: ‘Consciousness Explained. J Clinical Case Reports and Studies, 1(5): Doi: 10.31579/2690-8808/026
Copyright: © 2020. Paul T E Cusack. This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.
Received: 01 September 2020 | Accepted: 03 September 2020 | Published: 08 September 2020
Keywords: consciousness; astrothoelogy math; evolution; mind
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.
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. A knowledge of AT Math is helpful from my previous papers on Astrotheology. We being with the familiar Clairnaut equation.
Clairnaut Differential Equation
d²E/dt²-G=0
∫∫d²E/dt²= ∫∫G
E=G³/3
E=(6.67)³/3=0.9891=√π=Power
@E=0 Minimum
0=G³/3=(1-ln π)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°
Univ. Signal =1/√3
1/π=freq of the human mind
s=4/3=|E||t| sin θ
4/3=E(π)sin θ
4/3 (1/π)=sin θ
0.4244=sin θ
θ=25.1=Period T
=0.4383 rads
Continuing:
1/π=s ·t
1/π=Et²sin θ
Et² sin θ-1/t=1/√3
Et²sin θ -1/t-1/√3=0
(1)(π)²sinθ-1-1/√3=0
π²sin θ=15773
sin θ=1593
θ=9.17°=0.16 rads
90°-9.17=0.80829=1/ (0.1234567)
v=d/t
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
Lim x→∞ π(x)/[ x/Ln x]=1
12/ [31/31]
=3.49~3.5
SE=SE’
t²-t-1=2t-1
5=5
t=0; 3
Fro 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
ΔE=1/Δt
ΔE ·Δt= 1
5·Δt=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
E=s=Etsinθ
1=1 sin θ
θ=π/2
s=Etsinθ
4/3(1/5)=tsinθ
0.2666/2.666=1/10
F=(1)sinθ
F=sinθ
sin²θ+cos²θ=1
Let sin θ=cos θ
2sin² θ=1
sin =1/√2
(sin θ)’=cos θ
(sin π)=0=cos θ
θ=π/2
Consciousness=∫ 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
A=2 x 1/2 bh
A=bh
211 x 221/2
=2.14175
2.14175/3=23.830
Ln 23.03=3.136~π
y=y’
Ln t=1/t
1/t=1/3.136~1/π=freq
For the four triangles:
2x 1/π=2/π=0.6366=t0 Moment of Creation
t²-t-1=0
|D|=4 E=11 ⇒ 11 dimensions
Eigenvalue =3 E=5 ⇒ SE=SE’
Eigen Vector=√3 E=2.67 ⇒ 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
Π 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
Π senses=2.67=SF
The Concept of Multiple Drafts of Consciousness
Consciousness=sin² θ +cos² θ=1 =t=[1/ (1-Ln t)]
t=1=(1-Ln t)-7
t=1/(1-Ln t)7
(1-Ln t)7/7=11/7
1-Ln t=1
Ln t=0
t=1
=ΣSenses= 1/π +π+√0.666)+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
1≤t≤π
E=(1-Ln t)
=(1-Ln 1)=1
E=(1-Ln t)
=(1-Ln π)
=-0.1447
t=1/E=-6.909
Period T=251.6 1/T=397
Δt=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
ΔE=232-(1/358)
=0.232-2.7932
=256.1
E=(1-Ln t)7
=(1-Ln 256.1)
=595~6
t=1.681
1.681²-1.681-1=0.1447=E~1/7
20+200+318=538 Pictures
1-0.380=-0.62=Ln 0.538
380 Hz =Light
20+200+100=320~318=1/π Speech
20+200+358=570=1/√3 Smell/Memory /Motor
E=1-Ln (0.538)=1.619~1.6183 Golden Mean
t=1/E=0.617~0.618=(-1)=i=j
0.020+1+0.200+0.358=157.8=π/2=90° Real -Imaginary
V=sin 60 +j(π/2)
=0.866+970
=183/6
1/V=1/183.6= 0.5444
0.5444/ √3=0.31446~π=1/E=t
Note:
Amps across inductor =1117=1/c²
P=i²R
1.776=(4/3)² x R
R=1
=Σ Senses
Reaction Times:
1Amp=1 Coulomb/sec
t=1.602/A
Hearing 1.602/171=93.7+220=314=π
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
Δt=(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
ΔE=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
~Ln π=Mass
Now for the evolution of human consciousness:
Human Functions=5 Senses
R=1
P=i²R
177=(4/3)²(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
V=iR
=(4/3)(1/π)=0.4233
V=iR
=(4/3)(2)=8/3
VT=3.14+0.4244-8/3=89.84=2.997²=c²
Now:
RT=π=1/π+4+√(0.666)+√3=1.0008~1
Multiple Drafts of Consciousness= Senses= Consciousness
E=(1-Ln t)7=1=sin² θ +cos² θ
t=1
Let sin θ =cos θ
θ=45°
E=(1-Ln 1)7=1
=sin² θ +cos² θ=1
2 sin² θ=1
sinθ=1/√2
θ=45²
Mind=(1-Ln t)7
Let t=π
Mind=(1-Ln π)7=0.000001330
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
1/E=Ln t
E1/E=946
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
Now for the reaction time of the senses:
Motor 338msec
Sight 318
Hearing 100
Taste=460
Touch 954
Σ2190/5=438 =Average.
20+200+438=658
Range
tmin=(1-Ln 0.318)7=589
tmax=(1-Ln 0.954)7=936
Δt=588
Emin=1/589=16977
Emax=1/936 =1.0683
ΔE=17/2=0.8493
PE=Mc²
17/2=Mc²
M=946
M= Ln t
t=257.6
Equations of consciousness:
sin ² θ +cos² θ=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 ⇒ Pleasure and Pain
E=(1-Ln t)
1≤t≤π
E=(1-Ln 1)
=251.6
t=397
E=(1-Ln t)
=-0.1447
t=6.31
Δt=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
ΣSenses=1=Consciousness
ΔV=_70+35=105mV
V=iR
105.0=(4/3)(R
R=2625=1/380 Hz Light = 1/Sight =1/t
t=π Hearingfreq=1/π
Taste=√0.666=√G
G=1/150 =Language group.
θ=60°=π/3
1/c=3 =1/Eigen value
t²-t-1
=3²-3-1=5 ⇒ SE=SE’
t=1.618; -0.618 t cannot be negative. So, t=1.618