Generally, mathmatics is thought as externally presented order or truth. Particularly, mathematics must claim that mathematic truth is objectively existing identity. However, any arranged number is not staying there at any place.

But for philosophers, another idea could be convincing. Because if mathematically convincing truth could be identified by us, at least mathematics order must echo our mind immanently recognizable truth which could make externally present order as what our reason can confirm its truth.

Though, at least philosophers must have idea that any externally truth trustworthy phenomenon must consist in our mind measurable one so objective presumption.

Though, probably logics must be positioned between mathematics and philosophy at the debate.

Though, at least at now, next truth could be defined.

❇️ The truth for mathematicians could have been conviction to them for general, their believing mathematic e.g. number truth becomes absolute.

Though, necessarily, there ought to be two different classes of truth's identity.

❇️ Upper two different typed of absolute truths could be like next, presumably.

ONE is ABSOLUTELY MATERIALIZED REAL WORLD'S BELONGING APPEARANCE.

ANOTHER is MATHEMATICIANS' BELIEVING ABSOLUTE TRUTH.

❇️ Consequently, we could assume that two types of our substancial materialized presences. ONE is MATHEMATICIANS' PICTURING(in mind) the most trustworthy ABSOLUTE TRUTH.(that's one of APPEARANCE or PRESENCE.)

And, ANOTHER is WHAT MAKES MATHEMATICIANS BELIEVE ABSOLUTE as truly nature must have as substance equivalent with APPEARANCE.

(Irregularly to be continued)

Appendix; Upper two ❇️s except first means that second ❇️ is our recognition of mathematicians' consensus. And third ❇️ is the meta-cognitive identity or recognizable reality.

July 29th. 2022