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∅ looks a bit like Saturn as shown in Galileo's notebooks. ∇ is shorthand for the volume occupied by a boat under water (among other things). When I have writer's block I start arguing with my self, in type, weird things can happen. Try insulting yourself. Type what you think people who you know hate you would say about you. Respond with your own voice. Attack, parry touché!
∇ is also one of the most powerful mathematical tools of abstraction. As is ∅, oddly. I read this book that says that zero is the greatest invention of modern mankind (but then, I read another book that says Western math is limited, and that other conceptions of math, generally zero-less, are not primitive but just differently informed).
Go for a walk and watch the birds and bugs. Draw. build something. Paint. Clean out a closet. Rest assured that your subconscious is working even if you fingers aren't.