The number one thing that causes cavities is plaque, Davids is formulated to be an antiplaque toothpaste.  

In order to effectively remove plaque, there needs to be a certain level of abrasiveness.... not too abrasive, and not under abrasive.  

The American Dental Association (ADA) has developed a rating system where they recommend that toothpaste not have an RDA rating above 200 to be safe for the teeth.  Any toothpaste under 200 is generally considered safe for daily brushing and not overly abrasive.  

Davids is in the range of 100 RDA, so is in the sweet spot of being safe for your teeth, but abrasive enough to remove the plaque.  
Another example of a naturally sourced ingredient is calcium carbonate, which is used as a micro abrasive to clean and polish teeth. Our calcium carbonate is primarily made up of natural limestone mined from the earth. Once the limestone is quarried, it is then crushed, screened, separated, milled, and pulverized. Calcium carbonate undergoes an additional process in which the limestone is further purified, so yes, processing is required, but the final product is a limestone material minimally altered from how the material is found in the earth prior to processing.

Davids sensitive+Whitening toothpaste is the best nanohydroxyapatite toothpaste to repair sensitive teeth and remineralize enamel. Hydroxyapatite is a natural mineral that makes up 97% of tooth enamel.

Nanohydroxyapatite has been added to Davids toothpaste to repair the tubules and block the passageways to the nerves.

Nano-hydroxyapatite was first developed by NASA to help repair and strengthen the teeth of astronauts returning from zero-gravity environments, and we are proud to make this same modern science available in our Davids Sensitive+Whitening Nano-Hydroxyapatite toothpaste.

This high-performance, fluoride free toothpaste takes a revolutionary approach to relieving sensitive teeth. With its unique ability to bind to enamel and smooth out micro-imperfections, nano-hydroxyapatite actively works to repair the enamel and block the nerve passageways to relieve tooth sensitivity. 

With all the benefits of the original Davids Natural Toothpaste, plus the regenerative and remineralizing powers of nano-hydroxyapatite, regular brushing with Davids Sensitive+Whitening Nano-Hydroxyapatite toothpaste leaves your mouth feeling relieved from pain, enamel smooth and restored, and teeth naturally white and clean.

• Reduces Teeth Sensitivity - Repairs teeth by blocking the passageways to teeth nerves, relieving tooth pain.

• Enamel Health - remineralizes the enamel for optimal tooth health.

• Removes Plaque - bonds to plaque to aid in its removal during brushing.

• Beautiful Teeth - smooths the tooth surface and naturally whitens.

• Mineral Supply - supplies building block material for healthy teeth.