Mr Jack writes:
3. The concept that Science (or methods that employ similar tools) are the only viable means of determining the truth or falsity of objective statements about the world. This is what I believe.
I would quibble with the words "only viable" as that can imply that you're somehow able to judge how close Science is to "real truth" from some sort of objective overviewing stance... and we can't do that.
I would use the term "best known" as in:
3. The concept that Science (or methods that employ similar tools) are the best known means of determining the truth or falsity of objective statements about the world. This is what I believe.
I will admit, though, that Science is clearly head-and-shoulders above any alternative truth-finding method, and my statement does not make this as clear as yours does.