Johannes Loevenich
Ah I see, makes sense!
I think we're currently in the age of human & machine integration.
To elaborate on that, the "age of computation" is best represented by the explosion of the internet and mobile devices that have become an integral part of our everyday lives.
These devices, however, are still external mediums that provide an interface into the technology we've built so far.
Moving forward, what will take us into the age of spiritual machines is this age of human & machine integration where technologically advanced devices will become fully integrated with humans.
We're seeing this now with the advancements in human prosthetics and nothing provides more evidence of this integration than what Elon Musk is attempting to do with Neuralink (neuralink.com).
If you haven't seen Neuralink's intro demo which was delivered back in late 2020, I highly recommend you check it out; you'll be very interested in it (youtu.be/sr8hzF3j2fo)!
To summarize, this integration will no doubt advance human capability but at the same time lead to an ever-increasing dependency on the technology we build.
As technology becomes fully integrated with humans, naturally we'll want to improve this experience and couple that with the advancements in AI, this will ultimately lead to the ages of spiritual & intelligent machines as you've elaborated on.