Pilates comes from a man's name, Joseph Hubertus Pilates. What we call Pilates, he called Contrology, and defined Contrology as the complete coordination of body, mind, and spirit. The historical film, photos, and writings of Joseph Pilates document a specific sequence of exercises. Joseph Pilates writes that Contrology develops the body uniformly. According to Michael Miller, to get uniform development requires uniform usage. So, uniform usage, or fluorescence, becomes the target of the method. The reason why we want uniform usage is because of gravity. When we have uniform usage we swim like a fish in an ocean of air. To get uniform usage requires alignment. Alignment is perceptable via tension. It takes two endpoints to create tension and trigger fluorescence.
Joseph Pilates taught more than a tradition; he taught an idea. The idea can be understood by these three things, directly from Joseph Pilates--the sequence, the definition, and the promise.
Michael Miller defines the idea as: uniform eccentric loading flowing through progressive patterns of movement. Uniform means whole body, eccentric means moving out from center, loading means weight bearing, and the progressive patterns of movement are flexion, extension, side bending, rotation, and torsion.
The value of understanding the idea is two fold: it explains the tradition, and it frees you to creatively intrepret the tradition and still be teaching Pilates.