The Importance of Hormones
#The Importance of Hormones HormonesHormones are really, really important. Sure, there are ideas that hormones are the root causes of emotions, and that is bad, but emotions serve a very important role. Evolutionarily, we can blame emotions for carrying us through to today. Fear helps us respond better to life-and-death situations. Happiness signals "what just happened is approved by our bodies" and anger helps us preserve boundaries, including avoiding bodily harm.
Hormones themselves regulate many super important functions in the body. Good luck controlling your water/salt balance and not exploding your cells without steroids. This is also not to mention your circadian rhythm, immune system, controlling hunger, and myriad other uses. A person without hormones is soon a dead person.
This means your premise cannot be realized. Your world would be forever stuck in fantasy. You cannot have a society of humans without hormones.
The Equality Catastrophe
#The Equality Catastrophe YouYou will simply need to provide an axiom for your perfect-logic flesh machines to go off of. One could say "cyclical biological processes" (eating, breathing, reproduction) are the purpose of life. Your society would then continue on, focused on these things.
The purpose of life is one of those things that everyone very likely must come to grips with, hormones or no. So really, you need to give your logic-only people something to do, otherwise they may fall into your equality catastrophe. You could also find evidence that this existence is not just random, and the logical thing to do would be to respond appropriately to this new information.