Such objectivity exists in religious studies too. It is closer to the objectivity of social sciences and economics, rather than that of natural sciences. And even with that, the general question of the usefulness of mathematics in natural sciences is classified a religious debate.
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Math is a tool used in comparing & correlating variables reflecting reality as we know it. Math/statistics is used in all scientific research, whether physical, bio, or social. It helps to keep science objective, but requires a logical methodology to provide value.
What objectivity is there in religion? The followers of one "authority" all "see" the same "God"?
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The religious objectivity is a result of the universal laws that define human mind. Same as scientific objectivity. And both religious and scientific objectivities acknowledge the limits and operating characteristics of the mind. So much for objectivity. Even in the sense of scientific repeatability.
What is the statistics of two observers seeing the same thing first, then also when repeated? The average value? Or logic?
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What are the "universal laws" that define the human mind?
If you have a coherent reply, how do they vary with the "laws" that define non-human minds?
I betcha you're a dualist, a popular view before modern science.
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I don't really know what category I belong to. My major is maths. But now I think philosophy and social sciences are more interesting, because they are more readily useful to build lies and mass manipulation. Yes, there are universal laws that define human mind. Some of such laws are the exclusive pattern composition, finiteness, and polarity. So, for example, it is not possible for a human to imagine, but it is possible to postulate, that nonhuman minds can exist that are capable of counting with infinity, as an example. In fact, we can play a little Frankenstein as is, and simply write a software, that has just one more state than the number of states in the mind of the smartest human. That software will then appear as another person, with all the human mental functions, to anybody who decides to chat with it. Then you can just delete that software. Will that deletion undo the time spent with It? Even better, was that software a creation of people, or a creation of God? A.k.a., are we back to whether God guides the hand of the artist, or is the artist the creator? And now, logically, since the software was a person, how is it dead? The same way a biological humans can be dead? This points out that the existence of God is an "objective" necessity, in a logical approach, otherwise you don't even have such basic things to work with as time.