There is a fundamental difference between philosophy and science. The aim of science is “control”, while the aim of philosophy is “understanding”.
The faster and easier way of obtaining control is to make mathematical models of data. These are always possible, provided that convenient parameters are introduced. They are satisfactory for “interpolation”, i.e., when applied to known phenomena, but fail for new data. New results usually require the introduction of new parameters. That is why dark matter and dark energy had to be introduced in the cosmological model, or why a new particle is “discovered” whenever a new result is obtained in atomic physics. These mathematical models are built over previous models, which usually where obtained by some natural philosopher.
Ptolemy model was a beautiful mathematical model; Copernicus was a natural philosopher and looked for a model that could “make sense”. Also Galileo and Newton were natural philosophers.
Natural philosophers follow the methodology that Descartes so well defined, which conflicts with scientific methodology. When an observational result is different of what was expected, a scientist introduces a parameter to adjust the equations of the standard model to the new data, while a natural philosopher begins questioning the model from its fundaments.
The work of a natural philosopher is complementary to the one of a scientist. It’s the work of the scientist in obtaining, organizing and modeling data that unveils the properties on which the natural philosopher works.
Mathematical models of data necessarily end up by collapsing. Then, only a natural philosopher can present a new model, because it necessarily implies a new paradigm – scientists work in the accepted paradigm, natural philosophers change it.
The new paradigm supports a model that we can understand because based in “entities”, not parameters, and in logic relationships. An entity has a set of properties, while a parameter, like dark matter, dark energy, the neutrino or the celestial spheres of the geocentric model, represent only one property.
Some say that the universe is too complex for being possible to obtain understandable models. I think that our ignorance about the universe is still such that we are far away of any limit for our capacity of understanding it. At the present state of science, efforts should be focused in obtaining understandable models because current models have reached their limits.
Being a natural philosopher is like being a mathematician, or a writer, or a singer – it’s in the nature of the person. A natural philosopher has to have solid knowledge of Physics; but hardly can he/her work as a scientist.
There is much more to say about this subject but now I would like very much to know what do you think about this, as I have noticed that many of you have the characteristics of a natural philosopher.