Parent refers to the behaviour of generating action potentials which travel to synapses connecting (mostly) axons with dendrites. The continuous (analogue) signal processing pre- and post- synapse seems to be a massive part of how neurons achieve the computation they do. A hypothesis I subscribe to claims that it is cheaper to compute locally with molecule gradients and protein folding than with spikes. Brains leverage that. The specific statement you quoted is to the best of my knowledge inaccurate.

I am not an expert, my understanding of neurons is largely is based on [0], [1], [2].

[0]: https://mitpress.mit.edu/books/principles-neural-design

[1]: http://www.sci.utah.edu/~macleod/bioen/be6003/notes/W08-spru...

[2]: https://mitpress.mit.edu/books/functional-connections-cortic...