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  1. 1. Whatever begins to exist has a cause of its
  2.  existence.
  3. 2. The universe began to exist.
  4.  2.1 Argument based on the impossibility of an
  5.  actual infinite.
  6.  2.11 An actual infinite cannot exist.
  7.  2.12 An infinite temporal regress of
  8.  events is an actual infinite.
  9.  2.13 Therefore, an infinite temporal
  10.  regress of events cannot exist.
  11.  2.2 Argument based on the impossibility of
  12.  the formation of an actual infinite by
  13.  successive addition.
  14.  2.21 A collection formed by successive
  15.  addition cannot be actually infinite.
  16.  2.22 The temporal series of past events
  17.  is a collection formed by successive
  18.  addition.
  19.  2.23 Therefore, the temporal series of
  20.  past events cannot be actually
  21.  infinite.
  22. 3. Therefore, the universe has a cause of its
  23.  existence.
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