Two perspectives on human cognition are contrasted: the computational mind and the phenomenological mind. The com-putational mind derives from the cognitivist hypothesis and is based on representation, computation and realism. Whileuseful for cognitive modelling, it is limited as it cannot cater for a cognitive agents experience. The phenomenologicalmind foregrounds experience by drawing on the concept of the enactive mind. The phenomenological mind refers to aview of cognition that is not predicated on the pre-existing mental representation of an objective world, and so is cog-nitively anti-realist and non-representational. Quantum cognition offers the prospect for cognitive modelers to step outof the computational mind but still have tools to rigorously and formally explore the anti-realism inherent to the phe-nomenological mind. The concept of contextuality from quantum cognition is proposed as a signature of experience in thephenomenological mind.