Truth Is Not Subjective

In recent years I have heard many people talk about "their" truth. 

Truth however is not subjective, meaning it's not a matter of individual preference or individual belief. 

Something is either true, or it is false,period. 

To give an example (not that I should have to):

If someone came to me and claimed (and even fervently believed) the sky was green, that would not make it so. 

My son could fervently believe his stuffed animals can talk, that wouldn't make it true either.

For the record, he doesn't, I'm just using another example.