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 rea-son, 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 of-ten, 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 exponen-tially.  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 ex-ponetial 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 co-incidence. 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    3-0 pm
Daily Telegraph          dated Sunday the  31^st December 2000    4-0 pm

Page 14  

Article "Guests" Robert Matthews

"…Ramsey  Theory. Named after Frank Ram-sey, a Cambridge Mathemati-cian 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 acquaint-ances 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 guaran-tee a clique of five is unknown: the best guess is a crowd of between  43 and 49 people.Whatever  the size  of the gather-ing, there is always a chance that people will find things in common  with each other. Indeed the chances are  sur-prisingly 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."

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 .Kam-merer 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 non-randomness of numbers, and with the periodicity of planetery movements, we begin to get  a picture of an en-viroment in which there are recognizable patterns. Super-imposed 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. "    

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."

Page 221  

"… consider the sequence 31415926535897 (1)
This passes all currently-available tests for randomness.
     Now com-pare 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 non-random.These two 'random' numbers thus have a special property."
 

Page 109

but it looks as though the bias follows a natural law. Nature seems to count exponen-tially.  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 ex-ponetial 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 co-incidence. 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    3-0 pm
Daily Telegraph          dated Sunday the  31^st December 2000    4-0 pm

Page 14  

Article "Guests"  Robert Matthews
"…Ramsey  Theory. Named after Frank Ram-sey, a Cambridge Mathemati-cian 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 acquaint-ances 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 guaran-tee a clique of five is unknown: the best guess is a crowd of between  43 and 49 people.Whatever  the size  of the gather-ing, there is always a chance that people will find things in common  with each other. Indeed the chances are  sur-prisingly 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."

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 .Kam-merer 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 non-randomness of numbers, and with the periodicity of planetery movements, we begin to get  a picture of an en-viroment in which there are recognizable patterns. Super-imposed 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. "    

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 exponen-tially.  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 ex-ponetial 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 co-incidence. 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    3-0 pm
Daily Telegraph          dated Sunday the  31^st December 2000    4-0 pm

Page 14  

Article "Guests"  Robert Matthews
"…Ramsey  Theory. Named after Frank Ram-sey, a Cambridge Mathemati-cian 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 acquaint-ances 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 guaran-tee a clique of five is unknown: the best guess is a crowd of between  43 and 49 people.Whatever  the size  of the gather-ing, there is always a chance that people will find things in common  with each other. Indeed the chances are  sur-prisingly 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."

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 .Kam-merer 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 non-randomness of numbers, and with the periodicity of planetery movements, we begin to get  a picture of an en-viroment in which there are recognizable patterns. Super-imposed 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. "    

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."

Page 221  

"… consider the sequence 31415926535897 (1)
This passes all currently-available tests for randomness.
     Now com-pare 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 non-random.These two 'random' numbers thus have a special property."
 
 

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 exponen-tially.  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 ex-ponetial 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 co-incidence. 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    3-0 pm
Daily Telegraph          dated Sunday the  31^st December 2000    4-0 pm

Page 14  

Article "Guests"  Robert Matthews

"…Ramsey  Theory. Named after Frank Ram-sey, a Cambridge Mathemati-cian 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 acquaint-ances 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 guaran-tee a clique of five is unknown: the best guess is a crowd of between  43 and 49 people.Whatever  the size  of the gather-ing, there is always a chance that people will find things in common  with each other. Indeed the chances are  sur-prisingly 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."

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 .Kam-merer 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 non-randomness of numbers, and with the periodicity of planetery movements, we begin to get  a picture of an en-viroment in which there are recognizable patterns. Super-imposed 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. "    

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."

Page 221  

"… consider the sequence 31415926535897 (1)
This passes all currently-available tests for randomness.
     Now com-pare 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 non-random.These two 'random' numbers thus have a special property."