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1 #+title: A Universe of Human Experience
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2 #+author: Robert McIntyre
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3 #+email: rlm@mit.edu
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4 #+description: How many man-years are in a year?
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5 #+keywords: man-year man-month man-hour universe human experience philosophy
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6 #+setupfile: ../../aurellem/org/setup.org
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7 #+include: ../../aurellem/org/level-0.org
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8 #+babel: :results output :exports both
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9
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10 * What is a Man-Hour?
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11
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12 A [[http://en.wikipedia.org/wiki/Man-hour][/Man-Hour/]] is a term from the field of Management. It is one hour
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13 of work by one person for a certain task.
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14
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15 For example, if I have a nine-to-five programming job at Initrode, but
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16 I slack off most of the time and only /actually/ work from
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17 10:00-11:00, then I only put in one man-hour of work a day.
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18
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19 If my task is simply existing, then I put in 24 man-hours of work
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20 every day.
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21
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22
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23 * Experience
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24
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25 I've often wondered what it would feel like to have more than one
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26 body, and to experience the same day from different perspectives.
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27
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28 For example, there are around twenty different majors available at
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29 MIT. If you had ten different bodies, and each of them double-majored
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30 in different subjects, then in only four short years you would
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31 graduate with a degree in every field MIT has to offer. You would have
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32 experienced forty man-years of college in the process.
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33
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34 How many man-years does the entire MIT class experience every year?
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35 [[http://web.mit.edu/fnl/volume/192/century.html][There were around]] $4585$ undergraduates at MIT in the fall of 1982.
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36
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37 $4585$ students $\times$ $1$ year $=$ $4585$ man-years.
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38
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39 One person could help lay the first blocks of [[http://en.wikipedia.org/wiki/Great_Pyramid_of_Giza][great Pharaoh Khufu's
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40 tomb]] and live to see [[http://www.burjkhalifa.ae/][Burj Khalifa]] and they would accrue the same
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41 amount of experience as the MIT class of '82 did in one year.
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42
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43
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44 * Forever in a Day
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45
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46 How many man-years does everyone experience in a day? There are almost
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47 7 billion people around today, according to [[http://www.census.gov/main/www/popclock.html][www.census.gov]].
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48
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49 #+begin_src clojure
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50 (ns lifespan)
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51 (use '[clojure.contrib [pprint :only [cl-format]]])
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52
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53 (cl-format *out* "Man-years per day: \n ~R"
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54 (* 6969492979 ;; people on Earth
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55 (/ 1 365) ;; years-per-day
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56 ))
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57 #+end_src
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58
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59 #+results:
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60 : Man-years per day:
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61 : nineteen million, ninety-four thousand, five hundred one
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62
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63 Together, we experience almost 20 million years every day!
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64
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65 A week in the lives of the people of Earth is enough to reach back to
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66 the age of the dinosaurs.
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67
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68
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69 * The Infinite Stories of Humanity
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70
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71 How many man-years is the sum total of human experience? That is, how
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72 many man-years has every human who has ever lived experienced?
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73
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74 Using a very rough calculation involving the table from [[http://www.prb.org/Articles/2002/HowManyPeopleHaveEverLivedonEarth.aspx][here]] and the
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75 average human lifespans through the ages found [[http://en.wikipedia.org/wiki/Life_expectancy][here]], I get the
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76 following:
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77
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78 #+begin_src clojure
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79 (in-ns 'lifespan)
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80 (use '[clojure.contrib [def :only [defvar]]])
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81
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82 (defvar
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83 time-periods
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84 [:start-8000BC
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85 :8000BC-1
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86 :1-1200
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87 :1200-1650
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88 :1650-1750
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89 :1750-1850
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90 :1850-1900
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91 :1900-1950
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92 :1950-1995
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93 :1995-2011]
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94 "The time periods under question.
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95 'start' here is taken to be 50,000BC")
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96
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97 (defvar births
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98 (zipmap
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99 time-periods
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100 [ 1137789769 ;; \
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101 46025332354 ;; |
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102 26591343000 ;; |
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103 12782002453 ;; |
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104 3171931513 ;; | -- from the video at:
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105 4046240009 ;; | http://www.prb.org/Articles/2002/
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106 2900237856 ;; | HowManyPeopleHaveEverLivedonEarth.aspx
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107 3390198215 ;; |
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108 5427305000 ;; |
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109 2130327622]);; /
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110 "number of people who existed in the given time periods")
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111
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112 ;; Confirm that the sum of people agrees with that in the video.
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113 (assert (= 107602707791 (reduce + (vals births))))
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114
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115 (defvar lifespans
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116 (zipmap
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117 time-periods
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118 [33 ;; start-8000BC \
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119 22 ;; 8000BC-1 | -- from:
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120 30 ;; 1-1200 | http://en.wikipedia.org/wiki/
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121 32 ;; 1200-1650 / Life_expectancy
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122 35 ;; 1650-1750 \
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123 35 ;; 1750-1850 |-- from:
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124 45 ;; 1850-1900 | http://www.deathreference.com/
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125 66 ;; 1900-1950 | Ke-Ma/Life-Expectancy.html
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126 66 ;; 1950-1995 /
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127 70 ;; 1995-2011-------> form:
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128 ;; http://www.prb.org/DataFinder/Topic/
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129 ;; Rankings.aspx?ind=6&loc=241
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130 ])
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131 "lifespans in years from birth for the various time periods")
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132
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133
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134
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135
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136
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137 ;; This section is just here to make the result look pretty.
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138 (dorun
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139 (map println
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140 (clojure.contrib.string/split
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141 #","
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142 (cl-format
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143 nil "years of human experience: \n ~R years"
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144 ;; Multiply each time-period's total number of people
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145 ;; by those people's average lifespan in years to get
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146 ;; the total number of man-years experienced during
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147 ;; that period, then add them together.
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148 (reduce +
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149 (map *
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150 (map births time-periods)
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151 (map lifespans time-periods)))))))
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152
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153 #+end_src
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154
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155 #+results:
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156 : years of human experience:
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157 : three trillion
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158 : three hundred seventy-one billion
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159 : ninety-three million
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160 : five hundred ninety-five thousand
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161 : one hundred eighty-one years
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162
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163
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164
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165 Humans have already collectively lived far longer than the age of the
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166 universe.
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