If, in some cataclysm, all of scientific knowledge were to be destroyed, and
only one sentence passed on to the next generations of creatures, what statement
would contain the most information in the fewest words? I believe it is the
atomic hypothesis (or the atomic fact, or whatever you wish to call it) that all
things are made of atoms- little particles that move around in perpetual motion,
attracting each other when they are a little distance apart, but repelling upon
being squeezed into one another. In that one sentence, you will see, there is an
enormous amount of information about the world, if just a little imagination and
thinking are applied.
It is this fundamental principle of science that is assaulted by homeopathy. Homeopathy claims that you can dilute a substance to such an extent that there are no molecules of that substance left in the solution, and the dilution will be a pharmacologically-active product. (The homeopaths have attempted to avoid assaulting the atomic hypothesis head on by postulating ‘molecular memory’. It is true that when something is dissolved in water, for instance, it imposes structure on the water, but there is no reason for this imposed structure to remain. Remember, water molecules are in perpetual motion. Weak bonds between water molecules are continuously being formed and unformed, and only interactions that require much more energy than the thermal background energy to break will remain for any length of time. The order imposed by the presence of a solute involves energies of much lower energy than background thermal energy.) Essentially, however, homeopathy is incompatible with the atomic hypothesis.
Intelligent design postulates one or more momentary suspensions of the scientific laws we know at some indeterminate time in the past. It does not claim that those laws are false. Homeopathy requires the fundamental principle of chemistry to be false.
Intelligent design makes postulates about essentially unobservable events with little relevance to daily life. This makes it relatively harmless and excusable. We would still have a functioning technological civilisation if everyone believed in intelligent design. Homeopathy make postulates about events that are easily amenable to experiment and are observed countless times every day, events that are essential to countless processes impacting on everyone’s daily lives. This makes it dangerous and inexcusable. We would not have a functioning technological civilisation if everyone believed in homeopathy.
Intelligent design has never killed anyone. Homeopathic medicine kills people all the time.