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Well I agree with your post. But where is gets 'fishy' is when we say math is subjective (something I can agree on with our current idea). The 'problem' here is while I understand why most people just hear it's subjective, and their conclusion would be so no answer is wrong. It's what gave a voice to the stupid hovinds, ray comfort, ken ham,...
What I'm basicly stating is: I agree but presenting it as such posses a dangerous opening for people who want to use the general lack of eduction of the populace to undermine the validity of the scientific process.
So be it. What's the other option? Lie? Present it in such a way that it's so incomprehensible to the common man that it's impossible to understand? What do you propose to do to avoid your "problem"?
Idiots can use the truth however they see fit. One of the major strawmen that creationists and their ilk already attempt to use against science is the "certainty" that science knows what it's talking about, yet that there has been numerous revolutions in science when something turned out to be wrong. The answer to that is not to withdraw data and understanding of the scientific method because it could be misused, it's to calmly correct and educate those that are misinformed.
The general population does not care about science though as emotion, peer acceptance, and comfort with identity prevail. Science is small in the grand scale of life.
They might not care about the media version of science, but it's hardly small in the modern human experience of life. Science has created a lot of the foundation of our society, and even the most anti-science person will find themselves using the scientific method on a daily basis simply because it's a basic problem solving tool.
Science in the general sense is key to the human experience of life. Humans are curious animals, and science is how we figure stuff out. Otherwise we'd still be living in caves hoping that an antelope dropped dead outside for dinner.