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 Title: Necessity and Freedom: Contents
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 numbers. The Prague clock. Every external event has an
 Title: Necessity and Freedom: Lecture I: The Past Shows Us a Picture of Necessity
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 number of them: 1, 2, 3, 4, 5, 6, etc., couldn't I? I
 number I can put double the number, like this:
 Again I can write an infinite number of them. Now you will
 agree with me that each number in the righthand column is in
 infinite series of numbers is possible. This infinite series
 contains all the numbers included in the right column. 2, 4, 6,
 they are exactly half of all the numbers together because every
 infinity. I have an infinite number both on the left and on the
 just as many numbers on the right as on the left.
 yet, as every other number would have to be crossed out on the
 infinite number on the left is only half the infinite number on
 the right. Obviously I have just as many numbers on the right
 as on the left, namely an infinite number, for each number on
 the amount of numbers on the right cannot but be half
 that of the numbers on the left.
 right there are half as many numbers as on the left as it is
 true that there are exactly as many numbers on the right
 a circle is a polygon with an infinite number of sides. If you
 have a small circle there are an infinite number of sides in
 infinite number of sides — and yet exactly twice as
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 Title: Necessity and Freedom: Lecture II: The Legend of the Prague Clock
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 the double numbers in the right column were as many as
 particularly as we have made a number of studies of
 to a great number of boys. These boys might in their turn have
 Title: Necessity and Freedom: Lecture IV: The Roman World and the Teutonic Tribes
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 Lessing's projected Faust and a number of other similar
 Title: Necessity and Freedom: Lecture V: The "I" is Found on the Physical Plane in Acts of Will
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 again that we have to gather a great number of ideas to arrive
 you things about the number of people one already meets who say
 imagines. For the number of people unable to cope with life
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