Evidence of Objectivity?

[Captain Scarlet]

I do have an argument against pure solipsism. The apparent similarity between myself and others is an inductive argument that others seemingly similar to me are similarly conscious. What I'm wondering is if there is any actual inductive argument that if there were no observers at all, that there would then still be objects. I'm not sure there is any valid argument there at all, despite it intuitively making common sense to me.

You see, I think that I have uncovered my inductive rationale behind my common sense belief that solipsism is false, so I'm wondering if it is possible for me to do the same thing regarding my common sense belief that Idealism is also false.

Isn't existence itself evidence of the objective. If you deny that existence, exists then you would have to exist to utter that sentence or think that thought. Therefore is it not logically impossible to deny the objectivity of existence?