wolpertinger:
No need to get fancy. For any proposition P, a negative is the claim that NOT P holds true. I claim that invisible pink unicorns do not exist. If you wish to prove a negative, show me wrong or at least tell me how you would proceed to do so.
You may say that, of course, but you are committing the fallacy of accent in the context of ‘proving a negative’.
(on edit: Replace ‘fallacy of accent’ with ‘equivocation’. It’s been a long day…)
Again, what is the negative we are wishing to prove? You have to demonstrate to me that it is a substantial/real negative rather than merely a logical or linguistic negative. Yes, I agree that Not-P is the negation of P. Still, in order for those symbols to make any sense, I have to substitute in values. What is the value of P?
Questions: is cold the negation of hot? Is negative five the negation of five? Is Grendaline the negation of Jill? Is atheism the negation of God?
Atheism is only a linguistic negation of theism. Substantially, atheism either corresponds to reality or it does not, regardless of its linguistic relation to theism.
I ask again, clarify you meaning of a negation.
Second, how in the world does your example of an invisible pink unicorn work here? Are you suggesting that because you claim (though do not prove) that invisible pink unicorns do not exist, that I therefore have the burden of proof simply because you have made a positive claim and I am making the countering negative claim? Tell you what, I will be happy to prove they do exist (smiles) when you go through the work of proving they do not.
You may be right about the fallacy of equivocation. But that would require much more argument than this present question involves.
As I see it, I am simply making the argument that one can rationally defend atheism despite the fact that it is a linguistic negation of the word theism.