I linked to two peer-reviewed articles that noted the analogy between morals, mathematics and logic.
Another realist reply to the epistemic challenge is to argue that mathematics and logic . . . are the right models of moral theory (Scanlon 2014)
http://plato.stanford.edu/entries/moral-realism/
Again, objective moral facts (e.g., rape of a child is immoral), objective mathematical facts (e.g., the power set of an infinite set is of greater cardinality than the infinite set) and objective logical facts (e.g., an AAA-1 syllogism such as Nous has stated is valid) are deduced from premises that are true by definition of the terms.
If that is not "convincing" to you, then show that objective moral facts are not analogous in this way with objective mathematical and logical facts.
So you weren't able to click on the link and figure out what an AAA-1 syllogism is?
It's interesting that people come to discussion boards to expose their lack of knowledge on a subject, especially a subject as fundamental as logic.
Prove it.
If you believe I have said anything erroneous or "disingenuous," then prove it.
So you are able to figure out what "empathy" means? You can't explain why you are "empathetic" to people's pain but it doesn't "bother [you] in the least" for 4-year-old children to be raped?
And you still can't articulate any non-moral reason for outlawing murder, rape, assault, etc.?
It seems all you have contributed to this topic is to show that you don't know what a valid argument is.