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This is the clearest statement of Jim's position on heat vs work that I
have seen.
In considering the various gradations between conduction, convection and
radiation, I fancy Jim would see a hot plate in contact with a water
container as heating the water.
I reckon Jim might allow that if the contact method were to be replaced
by a gas flame playing hot air on the water pot, it would yet be heating
the water.
But if a 'heat' lamp replaces the gas flame or the hotplate, then it
seems this is not heating but working the water into boiling...
...because there is no physical contact with a higher temperature
reservoir.
If this same heat lamp were placed beneath the water pot, and played
on a plate in contact with the pot, then the pot would be heated
even though the (radiatively heated) plate was worked.