Truth

Let us define two terms, reality (R) and truth (T).

Let reality be the workings of the physical world, independent of our observation of them. All movement, sound, light, energy, all are reality, and the way that they manifest themselves through time also.

Let truth be the interpretation of reality, such that one person defines his truth based on it and draws his own conclusions through subjective analysis of an event. That is to say, truth is a personal function based on reality, T (R), where R is the set of all events.

When we introduce into the system more than one person as such, then we must define two truths: Relative truth (Tr) and absolute truth (Ta). Absolute truth is that truth in which all people are in agreement, while relative truth is that truth which not everyone agrees upon.

Stated mathematically. when R is the set of all events, then and A, B and N are the subjective visions of each people
Tr = A, B, ...., N.

then it follows that
Ta = A ∩ B ∩ ... ∩ N

As more and more people are introduced into the system, that is, as N tends towards infinity, then, logically, Ta decreases to the point where Ta is reduced to a single point with the following conclusion: The only absolute truth upon which all of our subjective viewers can agree upon is that the event, in fact, actually happened.

Note: Depending on the view one wishes to adopt, relative truth, being modifiable, can be considered as
Tr = A ∩ B ∩ ... ∩ (N-1)

I.e, the relative truth in the case where all the observers agree except for a single one.

Likewise, this can be generalized such that,
Tr = A ∩ B ∩ ... ∩ (N - X),
where X is any positive integer other than N. When N - X = A, then we are led back to our original conclusion:

Tr = A, B ... N.