In reply to mbh:
"Ti is... has twice the specific heat capacity [of Al]"
Actually c for Ti and Al are:
Ti : c = 500
Al : c = 880
So the opposite is true in fact, and in any case this is irrelevant.
"... this means you can get away with a lighter pan set that won't dent so easily, if you use Ti, and which could have considerably thinner walls than the Al version."
Well, you cant show this from anything you have said, but the density ratio for Al/Ti is 0.6, and the ratio of yield stress is about 0.28... so yes, you certainly might be able to get away with a thinner wall, but this really depends on many other factors as well.
"Thus, even though the thermal conductivity of Ti is 10x worse than that of Al, that doesn't mean that the Ti base has to be 10X hotter..."
Actually it is the temperature difference between the lower and upper surface of the base that would have to be increaed by a factor of 10.
"... it could be made much thinner."
In practice the difference in weight between the Al and the Ti pans (both of high quality) is very small.
"In any case, the heat capacity of water is so much greater than that of either Ti or Al that i bet the people who say so are right - I doubt you'll notice a difference in boiling times, whichever you use."
Utterly spuroius statement. The c of water does not come into it. What matters is the heat transfer rate at the wall, which depends on the convection currents and the wall temperature.
"I'm making all this up."
Too right mate! Why say anything at all if you are going to make it all up.