Electrical conductivity sigma(T) of the paper consisting of multiwalled carbon nanotubes (MWCNTs) is studied in the temperature range 4.2-295 K, and its magnetoresistivity rho(B) at various temperatures in magnetic fields up to 9 T is analyzed. The temperature dependence of the paper electrical conductivity sigma(T) exhibits two-dimensional quantum corrections to the conductivity below 10 K. The dependences of negative magnetoresistivity rho(B) measured at various temperatures are used to estimate the wavefunction phase breakdown length L (phi) of conduction electrons and to obtain the temperature dependence L (phi) = constT (-p/2), where p a parts per thousand 1/3. Similar dependences of electrical conductivity sigma(T), magnetoresistivity rho(B), and phase breakdown length L (phi)(T) are detected for the initial MWCNTs used to prepare the paper.