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It's a whole lot easier to ask someone what they remember.
It is suspected, but not yet proven, that any given neuron can be utilised in more than 1 memory. The fact that 1 memory can trigger another indicates, in my opinion, that this may be the case.
However, neural networks are provably finite state computing machines. That is, they aren't Turing machines. This also means that they aren't capable of many or most human cognitive activities. So the neural network model, at least as currently developed, is probably wrong.