I want to use a portion of an existing project that is licensed under MIT. MIT seems to state that I must include their license in my work, but I don't want to use any license for my own work (i.e. unlicensed). Merely copying their license into my project makes it look like they wrote my entire project instead of just a portion of it.
What is the correct way to integrate someone else's open source license into my project such that I am compliant with the requirements of their license, acknowledging their contribution, but remain able to license my own project a different way, including without explicitly putting a license on it?