13 Apr '10 00:04>2 edits
Originally posted by LemonJelloExcellent reference and many thanks for that. I recommend it. I think the "debate" about God does illustrate the point well. Quoting your source,
The claim "It is impossible to prove a negative" is, depending on how it is meant, either (1) blatantly false or (2) not interesting.
Here is an informal article on the subject:
http://departments.bloomu.edu/philosophy/pages/content/hales/articlepdf/proveanegative.pdf
You can’t prove that there are no alien abductions! Meaning: your argument against aliens is inductive, therefore not incontrovertible, and since I want to believe in aliens, I’m going to dismiss the argument no matter how overwhelming the evidence against aliens, and no matter how vanishingly small the chance of extraterrestrial abduction.
I think the point is that there is no argument - however valid - that cannot be rejected by an extreme sceptic. There is a place for scepticism in the world and so it is a matter of judgement how far to take their doubts into account. However, in certain situations (notably a court of law) it is surely reasonable to protest that one cannot prove a negative - meaning, one cannot reasonably be asked to prove it beyond doubt in the face of a sceptical audience. The article also makes clear that extreme scepticism would make life intolerable. Eventually we have to accept some level of evidence as sufficient for our needs.
In the case of belief in God, it is worth recalling that Christians (also Jews and Muslims) never did rely on logic or reasoning to prove there is a God. The work of the Greeks was quite separate. Rather, in the case of Western Christians anyway, the proposal of Thomas Aquinas and others was that, in so far as we accept the concept of reason, then it ought not to conflict with our belief. Proofs of God's existence were welcomed as showing that we do not have to become atheist in order to employ reason. And because there was no conflict between Faith and Reason, the Western Church not only tolerated but promoted training in logic and the natural sciences through universities which had a great deal of autonomy but were largely supported and funded by the Church. Countless early scientists could only enjoy education and academic work by joining orders like the Dominicans or the Jesuits. However it is the case that, increasingly, the Church made the error of protecting some views about nature which became unsustainable and in the resulting conflict, arguably lost the battle not only through the emergence of atheism, a modern phenomenon, but also in the fragmentation of Christianity itself. Galileo got into trouble by trying to warn the Church of this risk but messed up the politics.