I disagree...
The one thing that damages laptops most is the Heat differentiation, as in keep turning it on at an avarage temperature of say 40 or 50, and then turning it off to its normal cold temperature..
Why? Because its Metal.. and metal expands and contracts, which slowly wears and tears it (i wont go deep into physics, philosophy, or medeval orthadox paradoxes). Personally if i were to use a laptop in the next 3 or 4 hours (machine in the next 6 hours.. hence never off), then i'd rather keep it on.
But what about the heat?.. As for that, dont worry too much, because laptops are made to withstand heat at such compressed spaces. A lot of R&D has been put into that. Heck why else would you have fans, copper/alu heatsinks, alekh, alekh..?
Even if the worst happens, you have warrenty on it. The first thing i always get when buying a new laptop is an extended warrenty for some 100 dollars.. hey.. if i payed 2000 dollars, might as well pay 100 for another few years of warrenty
The laptops i had lasted years. The only thing that didnt last in them were their LCD Screens... which is a shame.. So make sure to Auto-turn it off after 10 minutes of no usage or so.. (but dont close the cover, LCD screens are sensitive to heat generated from the laptop)