Learn English – XXIII, neither IIIXX nor XIIIX, represents 23. Is it correct grammar

The neither/nor combination expresses negation all by itself. Therefore it should be used with a positive statement. The following is correct.

I can find the tool neither in the kitchen nor in the bathroom.

Both of the following seem fine:

Look not for treasure or earthly pleasure.

Look neither for treasure nor earthly pleasure.

The following seems odd:

Look not for treasure nor earthly pleasure.

Consider a plain example:

If I have no pen and no pencil:

I don't have a pen or a pencil.

or

I have neither a pen nor a pencil.

But the negation is perfectly clear in the first example of the two. In fact, that's what we usually say it, right?

I often see sentences such as the following:

I don't have a pen nor a pencil.

I consider this to be maybe a form of hypercorrection. Just a hunch, but people seem to be very apprehensive about the use of "or" recently, perhaps as a result of the growing influence of legalese on regular language.