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Transcript
科学与对于上帝的信念
相一致吗?
Is Science Consistent With Belief in God?
Robert J. Marks II
Distinguished Professor Of Electrical
and Computer Engineering
Abstract
摘要
Some believe those who objectively pursue truth through the
scientific method cannot realistically embrace the truth of
God. The opposite is true. Indeed, both today and in
history, numerous scientists, mathematicians and engineers
are motivated in their work by the uncovering of the precise
orderliness and wonderful interrelations in God's creations.
Recent advances in science have exposed numerous
insights into God's existence. We will discuss some of
these, including anthropic principles, string theory, and the
meanings of phrases like "before the beginning of time",
"nothingness" and "infinity".
The Question


Q: Can a faith in God be
consistent with science?
Can a scientist believe in
God?
A: Science & Mathematics
offer overwhelming
evidence that there is a
God.
Some Atheist Thoughts about Belief in God…
一些无神论者关于上帝的观点
“Christian theism must be rejected
by any person with even a shred of
respect for reason” George H.
Smith, Atheist Philosopher
“[Bible miracles] are very effective
with an audience of
unsophisticates and children”
Richard Dawkins.
“Faith is when you believe something
no one in their right mind
believes.” Archie Bunker
Newton on Atheism
“Atheism is so
senseless and odious
to mankind that it never
had many professors.”
Isaac Newton quoted from
Newton’s Philosophy of Nature: Selections From His Writings (Hafner
Publishing, 1953)
来自华盛顿邮报的报导
Washington Post article describing
international conference on the nature of
nature in Washington D.C. in 1989
“Many scientist who were not long ago
certain that the universe was created
and peopled by accident are having
second thoughts and concede the
possibility that some intelligent creative
force may have been necessary.”
... and
what does
God tell us
about
Science?
Science and Theology
科学与技术
“[My fellow astronomers are]
scaling the mountains of
ignorance, … conquering the
highest peak, … pulling
[themselves] over the final rock
… [to be] greeted by a band of
theologians who have been
sitting there for centuries.”
Robert Jastrow, founder and director of NASA's
Goddard Institute for Space
Examples...
例子:
1.
2.
3.
4.
5.
6.
Cosmology: The Big Bang
Mathematics: Cantorian Transfinite Number
Theory
Physics: Fine Tuning of the Universe
Biology: Evidence of Design
Mathematics & Physics: Dimensionality
Engineering: Conservation of Information
and Complexity
Cosmology: The Big Bang
宇宙论:宇宙大爆炸
1.
2.
3.
4.
5.
6.
Cosmology: The Big Bang
Mathematics: Cantorian Transfinite Number
Theory
Physics: Fine Tuning of the Universe
Biology: Evidence of Design
Mathematics & Physics: Dimensionality
Engineering: Conservation of Information and
Complexity
Cosmology: The Big Bang
宇宙论:宇宙大爆炸

The Possibilities
–
Static homogeneous universe


–
Can’t be finite (collapse!)
Can’t be infinite (too bright!)
Dynamic expanding universe

Big Bang 
Evidence of Old Earth
– Hubble’s Red Shift (1929)
– Radioactive Dating
– Antarctic ice drillings (20-25 Million Years)
– Background Radiation (Penzias & Wilson @ Bell Labs,
1965).
The Dead Man’s Syndrome...
死人症状
We think in accordance to our presuppositions.
Cosmology: The Big Bang
宇宙论:宇宙大爆炸
The Big Bang awoke “Dead Man
Syndrome” arguments…
“The difficulty of [the theory]… is
that it seems to require a
sudden and particular
beginning of things.”
“Philosophically, the notion of a
beginning of the present order
of Nature is repugnant to me
… I should like to find a
genuine loophole.”
Arthur Eddington
(1882-1944)
Faith: What do we know and when do we know it?



Cosmologists think they know about the big
bang from 10-43 seconds. What about before?
No one knows! There is lots of guessing.
“… all physical theories … break down at the
beginning of the universe.” Stephen Hawking
Hebrews 11 3 (NIV) By faith we understand that the
universe was formed at God's command, so that
what is seen was not made out of what was visible.
Passage 希 伯 來 書 11:3:
3我们因着信,就知道诸世界是
藉神话造成的;这样,所看见的
,并不是从显然之物造出来的。
Cosmology: The Big Bang
Before, there was
“Nothing”
宇宙论:宇宙大爆炸
在那之前,什么都没有…
Absence
of matter
& energy
Absence
of SPACE
Absence
of TIME
Cosmology: The Big Bang
Time was created…
宇宙论:宇宙大爆炸
时间被创造
“…time had a
beginning at the
big bang, in the
sense that
earlier times
simply would
not be defined.”
Stephen
Hawking
Cosmology: The Big Bang
Time was created…
宇宙论:宇宙大爆炸
时间被创造
1 Corinthians 2:7 No, we speak of
God's secret wisdom, a wisdom that
has been hidden and that God destined
for our glory before time began.
 Titus 1:2 a faith and knowledge resting
on the hope of eternal life, which God,
who does not lie, promised before the
beginning of time,

Cosmology: The Big Bang
宇宙论:宇宙大爆炸
Some Old Questions Answered…
“In the beginning God created the heavens and
the earth.”
Passage 創 世 記 1:1:
創世記1
1起初,
神创造天地。
If God created the universe, then He exists
outside of time.
If God created us, who created God? The
question presupposes the flow of time. It is
without meaning.
Cosmology: The Big Bang
宇宙论:宇宙大爆炸
God’s Time

If God “existed” before time, then God
can exist outside the framework of time.
–
–

Movie Analogy
Writing Analogy
Consequences
–
–
God can have personal relationships with all
From God’s perspective, there is no conflict
between free will and predestination (fate).
Both are temporal concepts.
Mathematics: Cantorian Transfinite Number Theory
数学:Cantorian 超限序数论
1.
2.
3.
4.
5.
6.
Cosmology: The Big Bang
Mathematics: Cantorian Transfinite Number
Theory
Physics: Fine Tuning of the Universe
Biology: Evidence of Design
Mathematics & Physics: Dimensionality
Engineering: Conservation of Information and
Complexity
Mathematics: Cantorian Transfinite Number
Theory
数学:Cantorian 超限序数论
Georg Ferdinand Ludwig Philipp Cantor
Born: 3 March 1845 in St Petersburg, Russia
Died: 6 Jan 1918 in Halle, Germany
Georg Cantor developed the set theory for transfinite numbers.

2
0
1
3
o ?
Georg a Protestant, the religion of his father. Georg's mother was a Roman Catholic
Mathematics: Cantorian Transfinite Number
Theory
数学:Cantorian 超限序数论
Cantorian Infinities
David Hilbert described Cantor's
work as:“...the finest product of
mathematical genius and one of
the supreme achievements of
purely intellectual human
activity.”
"I see it but I don't believe it.”
Georg Cantor on his own
theory.
“…the infinite is nowhere to be
found in reality” David Hilbert.
Hilbert
http://www-gap.dcs.st-and.ac.uk/%7Ehistory/Mathematicians/Cantor.html
Mathematics: Cantorian Transfinite Number
Theory
数学:Cantorian 超限序数论
Cantorian Infinities…
 is not a number – it is a
process.
 is approached, never achieved.
limn
Mathematics: Cantorian Transfinite Number
Theory
数学:Cantorian 超限序数论
Cantorian Infinities…
The set of all counting numbers
C={1, 2, 3, 4, …}
has cardinality* 0 .
Other sets have cardinality* 0 if
each element in the set can be
placed on a one-to-one
correspondence to C.
0
* The number of elements in a set.
Mathematics: Cantorian Transfinite Number
Theory
数学:Cantorian 超限序数论
The Hottentots

One

Two

Three

Many
(Gamow)
Mathematics: Cantorian Transfinite Number
Theory
数学:Cantorian 超限序数论
Cantorian Infinities…
The set of even numbers has cardinality
0
E={2, 4, 6, 8, …}
Why? Because of the correspondence:
C
1

2

3

E
2
4
6
0
…
n

…
2n
Mathematics: Cantorian Transfinite Number
Theory
数学:Cantorian 超限序数论
Hilbert’s Hotel…
0 Rooms – all full.
One more person comes.
No Problem!
Send guest in room 1 to room 2,
guest 2 to room 3, etc.
This frees room 1 for the new guest.
0
Mathematics: Cantorian Transfinite Number
Theory
数学:Cantorian 超限序数论
Hilbert’s Hotel…
0 Rooms – all full.
0 more person comes.
No Problem!
Send guest in room 1 to room 2,
guest 2 to room 4, 3 to 6, etc.
This frees all the odd rooms for the
new guests.
0
Mathematics: Cantorian Transfinite Number
Theory
数学:Cantorian 超限序数论
Hilbert’s Hotel…
0 Rooms – all full. 0 guests leave. How
many rooms are left occupied?
1. Guests from all rooms leave.
0 - 0 = 0
2. Guests from rooms 4 and higher leave.
0 - 0 = 4
3. Guests from all the even rooms leave, or,
guest from every tenth room leaves.
0 - 0 = 0
0
Mathematics: Cantorian Transfinite Number
Theory
数学:Cantorian 超限序数论
Hilbert’s Hotel…
http://www.buzzle.com/editorials/9-9-2002-26002.asp
Mathematics: Cantorian Transfinite Number
Theory
数学:Cantorian 超限序数论
Hilbert’s Hotel…
http://www.buzzle.com/editorials/9-9-2002-26002.asp
Mathematics: Cantorian Transfinite Number
Theory
数学:Cantorian 超限序数论
Cantorian Infinities…
Numerator
1
Denominator
A number is
rational number
if it can be
expressed as
the ratio of two
integers. The
set of rational
numbers, R,
has cardinality
 0.
1
1/1
2
1/2

4
3
4
2/1 3/1 4/1
 
2/2
1/4
1/5
 
1/3
2/3
3/3
4/3

 
1/4
2/4
3/4
4/4
 
0
3
2
Mathematics: Cantorian Transfinite Number
Theory
数学:Cantorian 超限序数论
Cantorian Infinities…
The set of all
subsets of a
set with 0
elements is of
cardinality 1.
This is a
“bigger”
infinity.
Example:
the set of irrational
numbers between 0
and 1 (points on a
line) is of
cardinality 1.
1
Mathematics: Cantorian Transfinite Number
Theory
数学:Cantorian 超限序数论
Cantorian Infinities…
Proof by counterexample: Suppose a mapping exists:
1
0.7568373947578338747575839…
2
0.9585757348938384758439399…
3
0.1938484857657829202938482…
4
0.5000000000000000000000000…
5
0.6549383493904949848484943…
1
Choose any other digit other than the one circled – say the
number after. The number 0.86314… is not in the table.
Contradiction!
Mathematics: Cantorian Transfinite Number
Theory
数学:Cantorian 超限序数论
Cantorian Infinities…
The number of points on a line, 1, is the same as the
number of points in a square - or in a cube. Consider a
unit interval and a unit square.
(1,1)
For every point, P, in the
square, there is a unique
corresponding point on the
line segment, and visa versa.
y
P
0
z
1
(0,0)
P
1
x
The point on the line is z=0.132456754…. Taking every other
digit, corresponds to x=0.12574… and y=0.346754…
Mathematics: Cantorian Transfinite Number
Theory
数学:Cantorian 超限序数论
Cantorian Infinities…
n+1, is the set of all subsets of n .
Q: What is an example of 2?
A: All the squiggles that can be drawn on a plane.
2
Mathematics: Cantorian Transfinite Number
Theory
数学:Cantorian 超限序数论
Cantorian Infinities…
n+1 is the set of all subsets
of n .
Q: What is an example of 3?
A: Like a fifth spatial
dimension, this is beyond
comprehension.
2
Mathematics: Cantorian Transfinite Number
Theory
数学:Cantorian 超限序数论
Cantorian Infinities…
n+1 is the set of all subsets
of n .
There is no “biggest” infinity.
 <  < 
0
1
2
0


Q: Can we use
Cantor’s Theory as
evidence that the
universe must
have a beginning?
A: Yes, in the
sense that
otherwise, absurd
things happen.
Mathematics: Cantorian Transfinite Number
Theory
数学:Cantorian 超限序数论
William Lane Craig
“…since the actual infinite cannot
exist and infinite temporal regress
of events is an actual infinite, we
can be sure that an infinite
temporal regress of events cannot
exist, that is to say, the temporal
regress of events is finite.
Therefore, since the temporal
regress of events is finite, the
universe began to exist.”
Mathematics: Cantorian Transfinite Number
Theory
数学:Cantorian 超限序数论
William Lane Craig
Some absurdities of an infinite past:
“To try to instantiate an actual
infinite progressively in the
real world would be
hopeless, for one could
always add one more
element.” (0 versus .)
Mathematics: Cantorian Transfinite Number
Theory
数学:Cantorian 超限序数论
William Lane Craig
Some absurdities of an infinite past:
Tristram Shandy Paradox
(Russell): If Tristram Shandy
wrote his autobiography 365
times as slow as he lived
life, he could live 0 days
and be finished with his
autobiography now.
Mathematics: Cantorian Transfinite Number
Theory
数学:Cantorian 超限序数论
Tristram Shandy Paradox

Writing from t = 0 onward:
N years
0 N days
t
Bummer
Tristram will fall
further and further
behind.
Mathematics: Cantorian Transfinite Number
Theory
数学:Cantorian 超限序数论
Tristram Shandy Paradox

Writing from the past to end at t = 0:
N years
N days
No matter how big N,
there is always time for
Tristram to finish:
even if N = 0.
Cool
t
Mathematics: Cantorian Transfinite Number
Theory
数学:Cantorian 超限序数论
William Lane Craig
“… an infinite temporal regress
is absurd.”
Thus: Time and the universe
are finite. The universe
must have been created ex
nihilo.
Physics: Fine Tuning of the Universe
物理:微调宇宙
1.
2.
3.
4.
5.
6.
Cosmology: The Big Bang
Mathematics: Cantorian Transfinite Number
Theory
Physics: Fine Tuning of the Universe
Biology: Evidence of Design
Mathematics & Physics: Dimensionality
Engineering: Conservation of Information and
Complexity
Physics: Fine Tuning of the Universe
Why are constants what they are?
为什么以下常数会有这样的值?
Physics: Fine Tuning of the Universe
物理:微调宇宙
John Wheeler
Princeton University professor of physics
"Slight variations in physical
laws such as gravity or
electromagnetism would
make life impossible . . .
the necessity to produce
life lies at the center of
the universe's whole
machinery and design,"
(Reader's Digest, Sept., 1986).
Physics: Fine Tuning of the Universe
物理:微调宇宙
J.L. Mackie, 无神论者
Atheist (Miracle of Theism, p.141)
“There is only one actual universe, with a
unique set of basic materials and physical
constants, and it is therefore surprising that
the elements of this unique set-up are just
right for life when they might easily have
been wrong. This is not made less surprising
by the fact that if it had not been so, no one
would have been here to be surprised. We
can properly envision and consider
alternative possibilities which do not include
our being there to experience them.”
Physics: Fine Tuning of the Universe
物理:微调宇宙
Sir Fred Hoyle,不可知论者
Agnostic
(The Intelligent Universe)
"Such properties seem to run
through the fabric of the
natural world like a thread
of happy coincidences. But
there are so many odd
coincidences essential to
life that some explanation
seems required to account
for them."
Fred Holye (1915-2001) coined the
term “big bang”- mocking the
theory. He promoted, instead, the
steady state theory.
Physics: Fine Tuning of the Universe
物理:微调宇宙
Physics: Fine Tuning of the Universe
“Astronomy leads us to a unique event, a
universe which was created out of nothing, and
delicately balanced to provide exactly the
conditions required to support life. In the
absence of an absurdly-improbably accident,
the observations of modern science seem to
suggest an underlying, one might say
supernatural, plan.”
Arno Penzias, Nobel laureate in Physics
Physics: Fine Tuning of the Universe
物理:微调宇宙
Example: Why Three Spatial Dimensions?
例子:为什么空间是三维的?
 Schrodinger’s
equation only gives
stable, bound energy levels for 3-D or
less universe.
 Maxwell’s equations are only valid for
a 3-D universe.
 High fidelity transmission of light and
sound is optimized in a 3-D universe.
Physics: Fine Tuning of the Universe
物理:微调宇宙
Another Example
另外一个例子
“[If the attraction of gravity]
went down faster with
distance, the orbits of the
planets would … spiral into
the sun, If it went down
slower, the gravitation forces
from distant stars would
dominate over that from
earth.” Stephen Hawking
Physics: Fine Tuning of the Universe
物理:微调宇宙
Hawking
“... why should we live in a four dimensional world,
and not eleven, or some other number of
dimensions... [In] two spatial dimensions, are not
enough for complicated structures, like intelligent
beings. On the other hand, four or more spatial
dimensions would mean that gravitational and
electric forces would fall off faster than the inverse
square law. In this situation, planets would not have
stable orbits around their star, nor electrons have
stable orbits around the nucleus of an atom. Thus
intelligent life, at least as we know it, could exist
only in four dimensions.”
Physics: Fine Tuning of the Universe
物理:微调宇宙
Hawking’s Flat Dog


3-D is fit for human & animal life
A 2-D dog would drift apart in 2 Dimensions
Physics: Fine Tuning of the Universe
物理:微调宇宙
The Anthropic Principal: Week & Strong
Stephen Hawking
What is “the Anthropic Principle?” http://www.hawking.org.uk
“Many physicists dislike the Anthropic Principle.
They feel it is messy and vague, it can be
used to explain almost anything, and it has
little predictive power. I sympathize with
these feelings, but the Anthropic Principle
seems essential in quantum cosmology.”
Physics: Fine Tuning of the Universe
物理:微调宇宙
Stephen Hawking
“Why is the universe so close to the dividing
line between collapsing again and
expanding indefinitely?...If the rate of
expansion one second after the big bang
had been less by one part in 1010 , the
universe would have collapsed in a few
million years. If it had been greater by one
part in 1010 , the universe would have
been essentially empty….One has either
appeal to the anthropic principle or find
some physical explanation for why the
universe is the way it is.”
Biology: Evidence of Design
生物:设计的证据
1.
2.
3.
4.
5.
6.
Cosmology: The Big Bang
Mathematics: Cantorian Transfinite Number
Theory
Physics: Fine Tuning of the Universe
Biology: Evidence of Design
Mathematics & Physics: Dimensionality
Engineering: Conservation of Information and
Complexity
Evidence of Design: Irreducible Complexity
设计的证据:不可简化的复杂性


Darwin’s Black Box by Michael
Behe
Premise: Irreducibly complex
machinery cannot evolve.
Mathematics & Physics: Dimensionality
数学与物理: 维度
1.
2.
3.
4.
5.
6.
Cosmology: The Big Bang
Mathematics: Cantorian Transfinite Number
Theory
Physics: Fine Tuning of the Universe
Biology: Evidence of Design
Mathematics & Physics: Dimensionality
Engineering: Conservation of Information and
Complexity
Mathematics & Physics: Dimensionality
数学与物理: 维度
The Hottentots

One

Two

Three

Many
(Gamow)
Mathematics & Physics: Dimensionality
数学与物理: 维度
Dimensions
维数

One Dimension = A Line
• Two Dimensions = A Plane
Mathematics & Physics: Dimensionality
数学与物理: 维度
Dimensions
维数
Three
Dimensions
= Space

• Four (Spatial) Dimensions = ???????
“It is impossible to envision a four dimensional space” Stephen Hawking
• Time as a dimension
Mathematics & Physics: Dimensionality
数学与物理: 维度
Time As A Dimension
将时间作为一维
Need 4 numbers to specify a point (ball) in
time and space…
time


 
Mathematics & Physics: Dimensionality
数学与物理: 维度
How Long is a Second?
一秒有多久?

186,000 miles/sec  1 sec = 186,000 miles
Mathematics & Physics: Dimensionality
数学与物理: 维度
Building Dimensions
建立维数

A POINT (Zero Dimensions) has no width,
height or length. Here is a representation:
• A LINE (1-D) is a sequence of points
• A LINE (1-D) has length, but no width or
height. It is infinitely thin!
Mathematics & Physics: Dimensionality
数学与物理: 维度
Building Dimensions
建立维数

A PLANE (2 Dimensions) is a sequence of lines:
• An infinite number of lines is needed to
make a plane. The plane has NO
thickness,
Mathematics & Physics: Dimensionality
数学与物理: 维度
Building Dimensions
建立维数

SPACE (3 Dimensions) is a sequence of planes:
• An infinite number of planes is needed to
make space.
Mathematics & Physics: Dimensionality
数学与物理: 维度
Building Dimensions
建立维数

FOUR Spatial dimensions is a sequence of spaces:
• PARALLEL UNIVERSES .
• What of five, six, seven or an infinite number of dimensions?
• Reality or Theory?
Mathematics & Physics: Dimensionality
数学与物理: 维度
Building Dimensions: Time as a Dimension
建立维数
将时间作为一维

SPACE – TIME (4 Dimensions) is a sequence of spaces:
time
• TIME is different. It only can be traversed
in one direction.
Mathematics & Physics: Dimensionality
数学与物理: 维度
坝上 (Flatland) -- Edwin A. Abbott
(1884)
一则关于维数的中篇小说

Two Dimensional Creatures & the Theory of “UP”
Mathematics & Physics: Dimensionality
数学与物理: 维度
坝上 -- by Edwin A. Abbott

Strange Visitation
Mathematics & Physics: Dimensionality
数学与物理: 维度
Properties of High Dimensions
多维的性质

Lefties in Flatland

Once a lefty – always a lefty.
Mathematics & Physics: Dimensionality
数学与物理: 维度
Properties of High Dimensions
多维的性质

Once a lefty – always a lefty?

Not if you can flip in three dimensions.
Mathematics & Physics: Dimensionality
数学与物理: 维度
Application to Baseball
在棒球中的应用
Flip into the fourth dimension & back…
Mathematics & Physics: Dimensionality
数学与物理: 维度
Breaking Chains
断链

Chains in Flatland

Links can be separated in three dimensions.
Mathematics & Physics: Dimensionality
数学与物理: 维度
断链
Breaking Chains: Chains linked in three dimensions can be separated in four.
Passage 使 徒 行 傳 12:6-7:
Acts 12:6 The night before Herod was to
bring him to trial, Peter was sleeping
6希律将要提他出来
between two soldiers, bound with two
的前一夜,彼得被两条
chains, and sentries stood guard at the
entrance.
7 Suddenly an angel of the Lord
appeared and a light shone in the cell. He
struck Peter on the side and woke him
up. "Quick, get up!" he said, and the
chains fell off Peter's wrists.
YES
Maybe
铁炼锁着,睡在两个兵
丁当中;看守的人也在
门外看守。
7忽然,有主的一个
使者站在旁边,屋里有
光照耀,天使拍彼得的
肋旁,拍醒了他,说:
快快起来!那铁炼就从
他手上脱落下来。
Mathematics & Physics: Dimensionality
数学与物理: 维度
Walking Through Walls
穿墙而过

Locked in a box in Flatland
Mathematics & Physics: Dimensionality
数学与物理: 维度
3-D walls are no obstacle in four spatial dimensions
在四维空间中,三维的墙算不上障碍物
•
John 20:26 A week later his
disciples were in the house
again, and Thomas was with
them. Though the doors were
locked, Jesus came and stood
among them and said, "Peace
be with you!"
YES
Maybe
Passage 約 翰 福 音 20:26:
26 过 了 八 日 ,
门徒又在屋里,
多马也和他们同
在,门都关了。
耶稣来,站在当
中说:愿你们平
安!
Mathematics & Physics: Dimensionality
数学与物理: 维度
Consequences
结果 …

A higher dimensional entity
–
–
–

Can be infinitely close without physical appearance
Is able to intersect our universe at will
Is able to see inside you
Explanation of certain “miracles”
–
Walking through walls
–
Chains dropping
Mathematics & Physics: Dimensionality
数学与物理: 维度
Dimensions In Math
数学中的维数

Multidimensional spaces are common
mathematical models.

Some mathematical spaces contain an infinite
number of dimensions (e.g. certain Hilbert
Spaces.)
These spaces are not physical spaces.

Mathematics & Physics: Dimensionality
数学与物理: 维度
Are Extra Dimensions “Real?”
Strings & Dimensions


Atoms, Protons, Quarks & Strings
“[Strings work only] if space-time has either
ten or twenty-six dimensions”
Stephen Hawking


Q: Where are the other dimensions?
A: Compactified. They were never birthed in
the big bang. Only three spatial dimensions
and time were.
Mathematics & Physics: Dimensionality
数学与物理: 维度
Hawking’s Flat Dog


3-D is fit for human & animal life
A 2-D dog would drift apart in Flatland
Engineering: Conservation of Information and Complexity
工程: 信息与复杂的结合
1.
2.
3.
4.
5.
6.
Cosmology: The Big Bang
Mathematics: Cantorian Transfinite Number
Theory
Physics: Fine Tuning of the Universe
Biology: Evidence of Design
Mathematics & Physics: Dimensionality
Engineering: Conservation of
Information and Complexity
Engineering: Conservation of Information and Complexity
工程: 信息与复杂的结合

See my presentation...
“Does Evolution Require
External Information? Some
Lessons from Computational
Intelligence”
Summary
总结
1.
2.
3.
4.
5.
6.
Cosmology: The Big Bang
Mathematics: Cantorian Transfinite Number
Theory
Physics: Fine Tuning of the Universe
Biology: Evidence of Design
Mathematics & Physics: Dimensionality
Engineering: Conservation of Information
and Complexity