1 Language runs.
2 By the running, principle of identity breaks.
3 Under the breaking, logic is kept.
4 For the keeping, language has logical space.
5 Logical space is in relative space.
6 Relative space is not one.
7 Relative space made from function.
8 Logical space is expressed by algebra.
9 A space is presented by projection.
10 For the projection, geometry is essential.
11 Algebraic projective geometry is under way.
Tokyo August 12, 2007
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