There has been a long tradition of casting models of information processing which entail elementary generic computing units arranged in multiple stacked layers to perform cascades of transformations of the incoming input as neurally inspired, or brain-like. However, what justifies casting a particular model neurally inspired is quite arbitrary and inconsistent. Often, a very limited set of properties of biological neural networks, like their hierarchical processing organization or spiking of single neurons, is taken to back up claim for neural plausibility, while completely ignoring vast range of other presumable relevant properties, e.g diversity of neuronal single cell dynamics, short-term synaptic plasticity or signal processing in activ...