If one of us dies without specifically providing for the other, how much property will the survivor inherit?

Nothing under most state laws, unless the deceased partner made a will, living trust, or joint tenancy agreement. In a limited number of states - California, Hawaii and Vermont - registered domestic partners may automatically inherit a portion of a deceased partner's property, but domestic partnership laws carry many restrictions and you should not rely upon them to plan for inheritance. The wiser course of action is to protect your partner by specifically leaving property using a will, living trust or other legal document. Certainly when your partner is grieving, you would not want them to suffer the added trauma of having relatives step in to deny them the right to a say in your burial arrangements, or refuse to leave them property you intended for them.