I admit to being a 'knife nut', but, for cutting wood, the best short-term solution is a good folding saw; the best long-term solution is a good axe. The saw will eventually wear out and requires special files or stones to resharpen, assuming the heat treated area of the teeth is thick enough to even permit resharpening. (In my carpentry work, I just replace the saw, because it is so inexpensive.) A good saw cuts wood with amazing efficiency and speed compared to even the best knife.

The axe, if made of good steel and properly heat treated, is essentially a lifetime tool. I have cut much wood over the years with a Gransfors-Bruk axe - it takes a long time to get dull and is very easily brought back to its factory shaving-sharp condition. In the 'old days' my scoutmaster demonstrated the superiority of a good axe for general bush craft (they called it 'woodsmanship' back then). As with the saw, a good axe in skilled hands will out-perform the best heavy knife. Even the machete is inferior to the axe on the big stuff.

About a millennium ago, my rowdier ancestors used axes to clear land, build ships and kill their enemies. There was no more useful two pound chunk of steel for a man to carry in those days than a good axe - even today, in the woods that's still true.