What is 'objective' value?

[Neo-Scholastic]

Some arguments I would use for reasons to reliably believe in objective value:

1. Nearly universally across human cultures, arguably, there exists the same basic standards of morality. In addition, there exists in all cultures truly altruistic acts which lead to no genetic benefit.
   
2. The majority of people who explicitly deny the existence of objective morality still act as if objective morality exists.
   
3. There exists a nearly universal human intuition that certain things are objectively right or wrong.
   
4. The majority of philosophers recognize the existence of objective moral facts.
   

It is most certainly a fact that human beings have a moral sense. That is the substance of the first three items on the list. These strongly suggest that there is a there there but it doesn't identify an actual rational basis for having that sense. Skeptics will attribute our moral sense to evolutionary pressures. They fail to explain how we can rely on amoral processes to supply us with a moral sense that reflects true principles of justice and not what is merely expeditious.

As for item number 4, I very much doubt that a majority of contemporary philosophers see any moral facts at all.