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Parallelisms : Quantum Logic - Mathematics
Quantum logic
Out of the fact that we
replaced the squares by circles, the "eye" that is introduced
here is the same concept than the holotomies introduced in the previous paragraph.
The parallelism with the worked
out with G. Birkhoff and J. Von Neumann still hold and will be investigated
further on
a due places.
Mathematics
We
did hesitated to maintain
the usage of [i] because as it looks like the introduction of the
imaginary numbers that are in usage in mathematics.
Care must be taken that it is not.
We agree that it is a
reminiscence of some previous stages of our investigations when
we effectively tested solutions involving imaginary numbers. It came further that [i] was
not a number but a
space or a collection.
We thought about changing for
an other symbol but we did not because the complete symbol with the
brackets infers - to our mind - an
appropriate and suggestive meaning. We will demonstrate later, [i] means a space
that is imaginary in the sense "imaginary
like in our imagination".
Our practice says that no confusions would
arise when we always keep the "i" symbol with its companion brackets "[
]".
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