Supernature
Lyall
Watson (1974
Edition)
Page
108
An
American mathematician noticed that
the earlier pages in books of logariths kept in his
university library were dirtier than later ones, indicating
that science students, for some reason, had more occasion
to calculate with numbers beginning with
1
than with any other number.(261)He
made a collection of tables and calculated the relative
frequency of each digit from 1
to 9.Theoretically
they should occur equally often,
but he found 30per cent of the numbers were
1,
wheras 9
only
occupied 5 per cent of the space. These are almost exactly
the proportions given to these numbers on the scale of a
slide rule, so the designers of that instrument clearly
recognized that such a bias existed. This preponderance of
the number 1
may
have been caused by the fact that the tables were
not really random, but bigger tables provide a similar bias.
The ecologist Lamont Cole worked with a
rand
corporation publication that gives a million
random
digits.(262) He
selected numbers at regular
intervals to represent
Page
109
/
the
level of metabolic activity of a unicorn at the end of each
hour over a long period.There should have been no
relationship between numbers and no kind of cyclic pattern,
but Cole is now credited with the
shattering zoological discovery that unicorns are busiest at
three o clock in the morning .(77) It is possible that these
discrepancies may be due to some peculiarity in our way of
counting , but it looks as though the bias follows a natural
law. Nature seems to count exponentially. Not
12345,
but 124816, The
numbers growing by a logarithmic power each time.
Population increases in this way, and,
even at an individual level, things such as the
strength of a stimulus and the level of response to it vary
in an exponetial way.This is, however, no more than an
observation; it does not explain the anomalous way in which
numbers behave.
The unexpected groupings of similar numbers is
something like the unusual grouping of
circumstances we call coincidence. Everyone has had the
experience of coming across a new word or name
for the first time and then seeing it in a dozen different
places in quick succession. Or of finding oneself in a small
group of people, three of whom have the same
birthdays.
Often
these coincidences come in clusters: some days are
particularly lucky while on others it is just one damn thing
after another. Several people have made it part of their
life's work to collect information on coincidence of this
kind . The
biologist Kammerer was one, and it was he who gave the name
of the phenomenon seriality. He defines a
series
"as
a lawful occurrence of the same or similar things or
events…which are not connected by the same active
course"
and
claims that coincidence is in reality the work of
a natural principle.
(171)
The scribe then writ the time and
date 31^{st} December
2000 30
pm
Daily
Telegraph dated
Sunday the 31^{st}
December 2000 40
pm
Page
14
Article
"Guests" Robert Matthews
"…Ramsey Theory.
Named after Frank Ramsey, a Cambridge Mathematician
clearly destined for great things but
who
died in 1930 at the age of 26 Ramsey Theory focuses on the
relationships that exist within collections of objects
…'
In
1928 Ramsey showed that when such groups exceed a
certain size,they always contain cliques of mutual
interest"
It
is when one calculates the size of
gathering required to produce cliques of a given
size that Ramsey Theory reveals its hidden depths. One can
show that in any gathering of six people there will always
be a clique of at least three people who are either mutual
acquaintances or who have never met
…'
Some
years ago, mathmeticians proved that a gathering
of 18
people guarantees a clique of four mutual acquaintances or
strangers, the number needed to guarantee a clique of five
is unknown: the best guess is a crowd of
between 43 and 49 people.Whatever the
size of the gathering, there is always a chance
that people will find things in common with each
other. Indeed the chances are surprisingly high
.For example,a random
gathering of just five people give better than
evens odds that at least two will share the same star sign.
Among a party of 23,there's a
50:50
chance
that at least two will share the same birthday. Even a
gathering of just four people have a better than even odds
that
at least two were born on the same day of the
week."
Supernature
Lyall
Watson (1974 Edition)
Page
109
/ 110
".(171) Kammerer
spent days just sitting in public
places noting down the number of people passing,
the way they dressed what they carried , and so on. When he
analyzed these records,he found that there was
typical clusters of /
things
that occurred together and then disappeared
altogether."
"
These "coincidental "clusters are a real phenomenon
.Kammerer explains them by his Law of Seriality,
which says that working in opposition to the second law of
thermodynamics is a force that tends towards symetery and
coherance bringing like
and
like
together. In a strange, illogical way, this idea
is rather persuasive, but there is no good scientific
evidence to support it and the theory is not very important
to us here .It is enough to know that there is a discernible
organization of events.Taken together with musical and
artistic harmony, with the nonrandomness of numbers, and
with the periodicity of planetery movements, we begin to
get a picture of an enviroment in which there
are recognizable patterns. Superimposed on the cosmic chaos
are rhythms and harmonies that control many aspects of life
on earth by a communication of energy made possible by the
shape of things here and their resonance in sympathy with
cosmic themes. "
Fingerprints
of the Gods
Page
490/1
"The
novelist Arthur Koestler, who had a great interest in
synchronicity, coined the term 'library angel' to describe
the unknown agency responsible for the lucky breaks
researchers sometimes get which lead to exactly the right
information being placed in their hands at exactly the right
moment."
The
Death of Forever
Darryl
Reanney 1991
Page
221
"…
consider the sequence 31415926535897
(1)
This
passes all currentlyavailable tests for
randomness.
Now compare it with the sequence20304815424786
(2)
Which
also qualifies as a wholly random number. On the face of it,
we simply have two random numbers. However, if we
subtract the lower sequence (2) from the higher (1), with
the 'wrinkle' that if we get a negative number we add 10 to
the result, we obtain the
sequence 111111111111111
"This
is strikingly nonrandom.These two 'random' numbers thus
have a special property."
Supernature
Lyall
Watson (1974 Edition)
Page
109
but
it looks as though the bias follows a natural law. Nature
seems to count exponentially. Not
1
2 3 4 5,
but 1
2 4 8 1 6, The
numbers growing by a logarithmic power each time.
Population increases in this way, and,
even at an individual level, things such as the
strength of a stimulus and the level of response to it vary
in an exponetial way.This is, however, no more than an
observation; it does not explain the anomalous way in which
numbers behave.
The unexpected groupings of similar numbers is
something like the unusual grouping of
circumstances we call coincidence. Everyone has had the
experience of coming across a new word or name
for the first time and then seeing it in a dozen different
places in quick succession. Or of finding oneself in a small
group of people, three of whom have the same
birthdays.
Often
these coincidences come in clusters: some days are
particularly lucky while on others it is just one damn thing
after another. Several people have made it part of their
life's work to collect information on coincidence of this
kind . The
biologist Kammerer was one, and it was he who gave the name
of the phenomenon seriality. He defines a
series
"as
a lawful occurrence of the same or similar things or
events…which are not connected by the same active
course"
and
claims that coincidence is in reality the work of
a natural principle.
(171)
The scribe then writ the time and
date 31^{st} December
2000 30
pm
Daily
Telegraph dated
Sunday the 31^{st}
December 2000 40
pm
Page
14
Article
"Guests" Robert
Matthews
"…Ramsey Theory.
Named after Frank Ramsey, a Cambridge Mathematician
clearly destined for great things but
who
died in 1930 at the age of 26 Ramsey Theory focuses on the
relationships that exist within collections of objects
…'
In
1928 Ramsey showed that when such groups exceed a
certain size,they always contain cliques of mutual
interest"
It
is when one calculates the size of
gathering required to produce cliques of a given
size that Ramsey Theory reveals its hidden depths. One can
show that in any gathering of six people there will always
be a clique of at least three people who are either mutual
acquaintances or who have never met
…'
Some
years ago, mathmeticians proved that a gathering
of 18
people guarantees a clique of four mutual acquaintances or
strangers, the number needed to guarantee a clique of five
is unknown: the best guess is a crowd of
between 43 and 49 people.Whatever the
size of the gathering, there is always a chance
that people will find things in common with each
other. Indeed the chances are surprisingly high
.For example,a random
gathering of just five people give better than
evens odds that at least two will share the same star sign.
Among a party of 23,there's a
50:50
chance
that at least two will share the same birthday. Even a
gathering of just four people have a better than even odds
that
at least two were born on the same day of the
week."
Supernature
Lyall
Watson (1974 Edition)
Page
109 / 110
".(171) Kammerer
spent days just sitting in public
places noting down the number of people passing,
the way they dressed what they carried , and so on. When he
analyzed these records,he found that there was
typical clusters of /
things
that occurred together and then disappeared
altogether."
"
These "coincidental "clusters are a real phenomenon
.Kammerer explains them by his Law of Seriality,
which says that working in opposition to the second law of
thermodynamics is a force that tends towards symetery and
coherance bringing like
and
like
together. In a strange, illogical way, this idea
is rather persuasive, but there is no good scientific
evidence to support it and the theory is not very important
to us here .It is enough to know that there is a discernible
organization of events.Taken together with musical and
artistic harmony, with the nonrandomness of numbers, and
with the periodicity of planetery movements, we begin to
get a picture of an enviroment in which there
are recognizable patterns. Superimposed on the cosmic chaos
are rhythms and harmonies that control many aspects of life
on earth by a communication of energy made possible by the
shape of things here and their resonance in sympathy with
cosmic themes. "
The
Death Of Forever
A
New Future for Human
Consciousness
Darryl
Reanney (1995 Edition)
Page
25
"
One of the most important branches of physics is called
Quantum theory, because it deals with the tiny,
packages
of energy (quanta) that comprise the subatomic micro world.
Light, which we normally think of as an electromagnetic
wave, can also be visualized as a stream of tiny particles
but
it looks as though the bias follows a natural law. Nature
seems to count exponentially. Not
12345,
but 124816, The
numbers growing by a logarithmic power each time.
Population increases in this way, and,
even at an individual level, things such as the
strength of a stimulus and the level of response to it vary
in an exponetial way.This is, however, no more than an
observation; it does not explain the anomalous way in which
numbers behave.
The unexpected groupings of similar numbers is
something like the unusual grouping of
circumstances we call coincidence. Everyone has had the
experience of coming across a new word or name
for the first time and then seeing it in a dozen different
places in quick succession. Or of finding oneself in a small
group of people, three of whom have the same
birthdays.
Often
these coincidences come in clusters: some days are
particularly lucky while on others it is just one damn thing
after another. Several people have made it part of their
life's work to collect information on coincidence of this
kind . The
biologist Kammerer was one, and it was he who gave the name
of the phenomenon seriality. He defines a
series
"as
a lawful occurrence of the same or similar things or
events…which are not connected by the same active
course"
and
claims that coincidence is in reality the work of
a natural principle.
(171)
The scribe then writ the time and
date 31^{st} December
2000 30
pm
Daily
Telegraph dated
Sunday the 31^{st}
December 2000 40
pm
Page
14
Article
"Guests" Robert
Matthews
"…Ramsey Theory.
Named after Frank Ramsey, a Cambridge Mathematician
clearly destined for great things but
who
died in 1930 at the age of 26 Ramsey Theory focuses on the
relationships that exist within collections of objects
…'
In
1928 Ramsey showed that when such groups exceed a
certain size,they always contain cliques of mutual
interest"
It
is when one calculates the size of
gathering required to produce cliques of a given
size that Ramsey Theory reveals its hidden depths. One can
show that in any gathering of six people there will always
be a clique of at least three people who are either mutual
acquaintances or who have never met
…'
Some
years ago, mathmeticians proved that a gathering
of 18
people guarantees a clique of four mutual acquaintances or
strangers, the number needed to guarantee a clique of five
is unknown: the best guess is a crowd of
between 43 and 49 people.Whatever the
size of the gathering, there is always a chance
that people will find things in common with each
other. Indeed the chances are surprisingly high
.For example,a random
gathering of just five people give better than
evens odds that at least two will share the same star sign.
Among a party of 23,there's a
50:50
chance
that at least two will share the same birthday. Even a
gathering of just four people have a better than even odds
that
at least two were born on the same day of the
week."
Supernature
Lyall
Watson (1974
Edition)
Page
109
/ 110
".(171) Kammerer
spent days just sitting in public
places noting down the number of people passing,
the way they dressed what they carried , and so on. When he
analyzed these records,he found that there was
typical clusters of /
things
that occurred together and then disappeared
altogether."
"
These "coincidental "clusters are a real phenomenon
.Kammerer explains them by his Law of Seriality,
which says that working in opposition to the second law of
thermodynamics is a force that tends towards symetery and
coherance bringing like
and
like
together. In a strange, illogical way, this idea
is rather persuasive, but there is no good scientific
evidence to support it and the theory is not very important
to us here .It is enough to know that there is a discernible
organization of events.Taken together with musical and
artistic harmony, with the nonrandomness of numbers, and
with the periodicity of planetery movements, we begin to
get a picture of an enviroment in which there
are recognizable patterns. Superimposed on the cosmic chaos
are rhythms and harmonies that control many aspects of life
on earth by a communication of energy made possible by the
shape of things here and their resonance in sympathy with
cosmic themes. "
Fingerprints
of the Gods
Page
490/1
"The
novelist Arthur Koestler, who had a great interest in
synchronicity, coined the term 'library angel' to describe
the unknown agency responsible for the lucky breaks
researchers sometimes get which lead to exactly the right
information being placed in their hands at exactly the right
moment."
The
Death of Forever
Darryl
Reanney 1991
Page
221
"…
consider the sequence 31415926535897
(1)
This
passes all currentlyavailable tests for
randomness.
Now compare it with the sequence 20304815424786
(2)
Which
also qualifies as a wholly random number. On the face of it,
we simply have two random numbers. However, if we
subtract the lower sequence (2) from the higher (1), with
the 'wrinkle' that if we get a negative number we add 10 to
the result, we obtain the
sequence 111111111111111
"This
is strikingly nonrandom.These two 'random' numbers thus
have a special property."
The
Death Of Forever
A
New Future for Human
Consciousness
Darryl
Reanney (1995 Edition)
Page
25
"
One of the most important branches of physics is called
Quantum theory, because it deals with the
tiny
,
but it looks as though the bias follows a natural law.
Nature seems to count exponentially. Not
12345,
but 124816, The
numbers growing by a logarithmic power each time.
Population increases in this way, and,
even at an individual level, things such as the
strength of a stimulus and the level of response to it vary
in an exponetial way.This is, however, no more than an
observation; it does not explain the anomalous way in which
numbers behave.
The unexpected groupings of similar numbers is
something like the unusual grouping of
circumstances we call coincidence. Everyone has had the
experience of coming across a new word or name
for the first time and then seeing it in a dozen different
places in quick succession. Or of finding oneself in a small
group of people, three of whom have the same
birthdays.
Often
these coincidences come in clusters: some days are
particularly lucky while on others it is just one damn thing
after another. Several people have made it part of their
life's work to collect information on coincidence of this
kind . The
biologist Kammerer was one, and it was he who gave the name
of the phenomenon seriality. He defines a
series
"as
a lawful occurrence of the same or similar things or
events…which are not connected by the same active
course"
and
claims that coincidence is in reality the work of
a natural principle.
(171)
The scribe then writ the time and
date 31^{st} December
2000 30
pm
Daily
Telegraph dated
Sunday the 31^{st}
December 2000 40
pm
Page
14
Article
"Guests" Robert Matthews
"…Ramsey Theory.
Named after Frank Ramsey, a Cambridge Mathematician
clearly destined for great things but
who
died in 1930 at the age of 26 Ramsey Theory focuses on the
relationships that exist within collections of objects
…'
In
1928 Ramsey showed that when such groups exceed a
certain size,they always contain cliques of mutual
interest"
It
is when one calculates the size of
gathering required to produce cliques of a given
size that Ramsey Theory reveals its hidden depths. One can
show that in any gathering of six people there will always
be a clique of at least three people who are either mutual
acquaintances or who have never met
…'
Some
years ago, mathmeticians proved that a gathering
of 18
people guarantees a clique of four mutual acquaintances or
strangers, the number needed to guarantee a clique of five
is unknown: the best guess is a crowd of
between 43 and 49 people.Whatever the
size of the gathering, there is always a chance
that people will find things in common with each
other. Indeed the chances are surprisingly high
.For example,a random
gathering of just five people give better than
evens odds that at least two will share the same star sign.
Among a party of 23,there's a
50:50
chance
that at least two will share the same birthday. Even a
gathering of just four people have a better than even odds
that
at least two were born on the same day of the
week."
Supernature
Lyall
Watson (1974
Edition)
Page
109
/ 110
".(171) Kammerer
spent days just sitting in public
places noting down the number of people passing,
the way they dressed what they carried , and so on. When he
analyzed these records,he found that there was
typical clusters of /
things
that occurred together and then disappeared
altogether."
"
These "coincidental "clusters are a real phenomenon
.Kammerer explains them by his Law of Seriality,
which says that working in opposition to the second law of
thermodynamics is a force that tends towards symetery and
coherance bringing like
and
like
together. In a strange, illogical way, this idea
is rather persuasive, but there is no good scientific
evidence to support it and the theory is not very important
to us here .It is enough to know that there is a discernible
organization of events.Taken together with musical and
artistic harmony, with the nonrandomness of numbers, and
with the periodicity of planetery movements, we begin to
get a picture of an enviroment in which there
are recognizable patterns. Superimposed on the cosmic chaos
are rhythms and harmonies that control many aspects of life
on earth by a communication of energy made possible by the
shape of things here and their resonance in sympathy with
cosmic themes. "
Fingerprints
of the Gods
Page
490/1
"The
novelist Arthur Koestler, who had a great interest in
synchronicity, coined the term 'library angel' to describe
the unknown agency responsible for the lucky breaks
researchers sometimes get which lead to exactly the right
information being placed in their hands at exactly the right
moment."
The
Death of Forever
Darryl
Reanney 1991
Page
221
"…
consider the sequence 31415926535897
(1)
This
passes all currentlyavailable tests for
randomness.
Now compare it with the sequence20304815424786
(2)
Which
also qualifies as a wholly random number. On the face of it,
we simply have two random numbers. However, if we
subtract the lower sequence (2) from the higher (1), with
the 'wrinkle' that if we get a negative number we add 10 to
the result, we obtain the
sequence 111111111111111
"This
is strikingly nonrandom.These two 'random' numbers thus
have a special property."
