Is the Wavefunction of Quantum Mechanics Real?

Steve Hsu has a nice post on that extent to which different ways of thinking about quantum mechanics, sometimes called "interpretations" can be distinguished in thought experiments and real experiments, with the strong implication that the wavefunction of quantum mechanics has a physical reality, although I will leave the subtlties of wording of this delicate matter to him and the blog post that he in turn is quoting.