Size of the Electron

As we probably all know the electron has a mass, charge and spin as
some of its main properties. However at the same time, as far as I have
been informed, the electron is considered to be a point like particle
without a diameter! Does the electron have no size what so ever? If
yes, then how can you have mass located at an infinitely small point?

I have read other places that experiments show that the size of the
electron is < 10^{-18}m.

If there is someone here that could explain me the whole "size of the
electron" paradox I would be thankful.

Epud

.

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