Searching Necessity and Freedom
You may select a new search term and repeat your search.
Searches are not case sensitive, and you can use
in your queries.
Query was: number
Here are the matching lines in their respective documents.
Select one of the highlighted words in the matching lines below to jump
to that point in the document.
- Title: Necessity and Freedom: Contents
- numbers. The Prague clock. Every external event has an
- Title: Necessity and Freedom: Lecture I: The Past Shows Us a Picture of Necessity
- 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 right-hand 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
- Maximum number of matches per file exceeded.
- Title: Necessity and Freedom: Lecture II: The Legend of the Prague Clock
- 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
- 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
- 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
Rudolf Steiner Archive is maintained by: