Much like the pestering child asking "Why?" over and over, one can demand proof (or examples) of an argument as a means to slow it down, trivialize it, or out-right block it.
I'm looking for any term to describe this sort of effect / tactic. To give an example:
"The [baby-step technique] is a way of suppressing forward movement of an idea by requiring it to put excessive effort into every step."
As another example:
There is a scene in Futurama where an ape argues with a scientist that evolution isn't real by constantly asking "What came before that stage of evolution," until eventually reaching a missing link at which point this is taken as proof that the argument of evolution is lacking sufficient evidence.
"If you can't prove this thing ad-nauseam, it is false."
P.S. I strongly believe in having proof for things, this is not about being anti-scientific, but more about overdoing it to undermine the very pursuit.