I like to think of myself as open-minded. For example- I am skeptical of astrology, but my logical mind reminds me that the yearly solar cycle influences our hormone production and the time of year often influences food choices as well(greens in the spring, berries in the fall, meat and kimchi in the winter) and consequently, influences behavior and mood aspects. I have trouble believing your birthdate influences your entire fate, since there are so many other factors at play but am willing to believe that perhaps there is a small bit of truth in there somewhere. Perhaps.
Acupuncture, Meditation, Ayurvedic Medicine, Chinese Medicine- they're still a little strange to my westernized mind, but they really do seem to work and the ideas presented for each body type in Ayurvedic seems to hold true for many people. Meditation has been scientifically proven and I have high hopes for the other perspectives as well.
But homeopathy(and its twin, Bach essences) as well as some of the more obscure alternative health therapies and ideas, including Numerology and Cranio Sacral therapy are just so beyond ridiculous I have trouble taking anyone who advocates for them seriously.
In other words, I believe homeopathy is nothing but sugar pills, Bach essences are nothing but water, numerology has no basis in anything except randomly assigning values to random numbers and perhaps it makes me closed-minded to not respect these therapies, but so be it.