I'll even concede the very rules of logic applied here were arrived at through inductive reasoning. That still doesn't make the argument inductive. Here's a valid deductive argument. I'm not sure what your point is here. Inductive arguments are not immune to erroneous premises and false conclusions.
Objective truth exists.
Individuals and cultures have a dynamic description of objective truth. It purports to describe objective reality and changes over time. I claim that the body of scientific knowledge is actually getting more accurate relative to an objective standard and not just wandering around theory space. I think we are getting closer to our point of miscommunication. I'm not saying the first statement is True, it isn't.