I still don't see how inconsistency related to the article, could you reference the bit in the article you see this point being relevant to?
I've taken the article wider than it actually is.
But lots of people having their own truths means they are inconsistant.
inconsistent
ɪnkənˈsɪst(ə)nt/
adjective
1.
not staying the same throughout.
"police interpretation of the law was often inconsistent"
2.
not compatible or in keeping with.
"he had done nothing inconsistent with his morality"
synonyms: incompatible with, conflicting with, in conflict with, at odds with, at variance with, differing from, different to, in disagreement with, disagreeing with, not in accord with, contrary to, in opposition to, opposed to, irreconcilable with, not in keeping with, out of keeping with, out of place with, out of step with, not in harmony with, incongruous with, discordant with, discrepant with; More
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Because people's beliefs, if everyone has their own truths, are inconsistant.
So it's asking if this will lead in the end, to the demise of democracy.
I took it further because one area where people have their own truths is in religion and they expect their truth to be honoured.
I was also thinking that in places like Saudi Arabia you are not allowed to express your own truth, and freedom of expression is curtailed unless it fits in with approved Islamic " truths".
Religion as in creationism is a personal truth held by some who want an equal status of their truth being taught in schools. If that happens in some schools but not others that makes teaching inconsistant.
Although he doesn't mention those things, it was what sprang to mind.
If I'm inconsistant it's probably that I see lots of different angles you could approach this, depending on the country you lived in.