Subject: What term is specifically used for 'heat conduction through a solid'?

     I've already looked at the "Thermal Energy and Heat" posting.
     I got into a discussion concerning terminology, “What technical term can 
be used to describe conduction of heat through a solid?”
     Initially, the answer appeared to be the word already used: "conduction."  
However, a dictionary produced, "the transmission of heat, sound or electricity 
through matter."  Matter, if I remember correctly, included solids, liquids, 
and gases.
     Turning to convection for comparison I found, "the transference of heat in 
a gas or a liquid by currents resulting from unequal temperature and consequent 
unequal densities."  But isn't the heat from a solid to a gas initially through 
conduction?  And just what distinguishes conduction and convection?  Perhaps, 
the transfer of the heat in convection is associated with the motion of the 
matter containing the energy of the heat; convection does not have such 
motion?  But does the definition of conductance actually indicate 
that "convection" is a specialized form of conducting heat through a gas or 
liquid?
     Digging into my references to find a specialized term under the category 
of conduction specifically through solids, I found the gerund "heat sinking.”
     What to you have in addition or correction to the above review of 
terminology concerning heat transfer?

Re: What term is specifically used for 'heat conduction through a solid'?