Zilber's fields are imaginative algebraic structures which mimic the structure of the complex field equipped with the exponential function, but whose model-theoretic properties are well-known and rather well-behaved. Indeed, provided that we use a suitable infinitary language, their theory is axiomatizable, uncountably categorical and quasi-minimal. It is an open question if analogous properties hold for the classical complex exponential field, and if the complex field itself is just an example of Zilber's field. I will review some basic motivations for the use of Schanuel's Conjecture and existential closure in the definition of Zilber's fields, and I will show an easy way to explicitly build pseudoexponential functions which satisfy the axioms of Zilber's fields.