Nucleophile = keen of nuclei. It refers to an area of a molecule with high electron density. It resembles a base.
Electrophile = keen of electrons. It refers to an area of a molecule with low electron density. It resembles an acid
Species "keen of electrons", eager for molecular areas with excess electrons, that is, with relative negative charge density.
Logically, an electrophile will have an electron density defect.
Species "keen of nuclei", eager for molecular areas defective of electrons, that is, with relative positive charge density.
Logically, an nucleophile will have an electron density excess.