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Hahnemann, who is usually given the blame for homeopathy, had the idea that if something bad were diluted enough, it might be something good. If you think of cancer therapy, this idea, at first glance, might make sense. Except…
Cancer therapeutic agents are indeed toxic, but in the best case scenario they do more damage to rapidly growing cancer cells than to normal ones. But the therapeutic agents still have to be present in a concentration high enough to interfere with some cancer cell processes at the molecular level.
A digression: Dilution is an interesting process.
Suppose you had a twenty-gallon fish tank with one gold fish in it. Take out a gallon and dilute it to twenty gallons in another tank. What is the probability that the fish is in the second tank? 1 in 20 or .05.
Now if you repeat this process again, what is the probability of the fish in a third tank?
1 in 400 (.05 x .05 or .0025).
Rinse and repeat and the answer is 1 in 8000.