Is an Electron Truly a Point Particle Without Size?

[NGC_224]

Does an electron have a radius? In it's described as a "point particle" does it still take up 'space'?

 

[Nabeshin]

The only similar concept is the classical electron radius, which is mostly antiquated at this point:
http://en.wikipedia.org/wiki/Classical_electron_radius
In modern quantum theory, the electron has no size to speak of.