Tell me which of the following are the names of mathematicians: David Hilbert, Augustin-Louis Cauchy, William Shakespeare.
David Hilbert and Augstin-Louis Cauchy are both mathematicians. William Shakespeare is not a mathematician, but is a writer.
Below is an instruction that describes a task, paired with an input that provides further context. Write a response that appropriately completes the request.
### Instruction: Tell me which of the following are the names of mathematicians: David Hilbert, Augustin-Louis Cauchy, William Shakespeare.
### Input: 
### Response: David Hilbert and Augstin-Louis Cauchy are both mathematicians. William Shakespeare is not a mathematician, but is a writer.