Which of the laws of thermodynamics provides a criterion for spontaneity?

the zeroth law, the first law, the second law, and the third law?

This site will give you zeroth, first, second, and third laws. You may need to scroll down a little but it on the right of center of the page as you scroll down.
http://www.answers.com/topic/third-law-of-thermodynamics-2

The law of thermodynamics that provides a criterion for spontaneity is the second law. The second law states that in any natural process, the total entropy, or disorder, of an isolated system always increases or remains the same. In other words, spontaneous processes tend to result in an overall increase in the disorder of a system.

The zeroth law of thermodynamics states that if two systems are each in thermal equilibrium with a third system, then they are also in thermal equilibrium with each other. This law establishes the concept of temperature and allows us to define thermal equilibrium.

The first law of thermodynamics, also known as the law of conservation of energy, states that energy cannot be created or destroyed in an isolated system. It simply changes form or is transferred between different parts of the system.

The third law of thermodynamics states that as the temperature of a system approaches absolute zero, the entropy of that system approaches a minimum value. This law sets a reference point for the measurement of entropy and allows us to calculate absolute entropy values.

To find more information about the zeroth, first, second, and third laws of thermodynamics, you can visit the website mentioned in the question: http://www.answers.com/topic/third-law-of-thermodynamics-2. Scroll down the page, and you will find a comprehensive explanation of the laws and their implications in thermodynamics.