The Hogarthian style is favoured by many U.S. cave and technical divers. It is named after William Hogarth Main, a cave diver for more than twenty years, who introduced its principles to many divers in the 60's and 7O's, including the late Sheck Exley.

The Hogarthian style assumes:

The best possible gear, maintained in perfect order.
A diver who is highly skilled, and physically fit.
A buddy who is similarly fit, skilled and equipped.

In addition to the above, Hogarthism follows these principles:

Gear should be a cohesive unit, and not a haphazard collection of parts.
Think about what you are doing with your gear, and ensure that you are not trying to solve problems that will not occur.

Make sure that, in solving a problem you do not create other problems.
Less is best. Less gear means less clutter, more streamlined, more comfort, therefore safer.
What is not needed should not be carried. Keep it simple.
Hogarthianism relies on simplicity and skill, rather than complexity and additional equipment.
Have nothing dangling. All accessories, hoses, etc. are tucked away.