Changes

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The left side of the Table collects mostly standard notation for an ''n''-dimensional vector space over a field '''K'''.  The right side of the table repeats the first elements of a notation that I sketched above, to be used in further developments of propositional calculus.  (I plan to use this notation in the logical analysis of neural network systems.)  The middle column of the table is designed as a transitional step from the case of an arbitrary field '''K''', with a special interest in the continuous line '''R''', to the qualitative and discrete situations that are instanced and typified by '''B'''.

The left side of the Table collects mostly standard notation for an <math>n\!</math>-dimensional vector space over a field <math>\mathbb{K}.</math> The right side of the table repeats the first elements of a notation that I sketched above, to be used in further developments of propositional calculus.  (I plan to use this notation in the logical analysis of neural network systems.)  The middle column of the table is designed as a transitional step from the case of an arbitrary field <math>\mathbb{K},</math> with a special interest in the continuous line <math>\mathbb{R},</math> to the qualitative and discrete situations that are instanced and typified by <math>\mathbb{B}.</math>

I now proceed to explain these concepts in more detail.  The two most important ideas developed in the table are:

I now proceed to explain these concepts in more detail.  The two most important ideas developed in the table are: