If we take into account of our daily necessary practical issues, mathematics specifically becomes contradictory. Because mathematics by themselves consist on the premise of next. If we try to define them so perfectly, we'd be obliged to conclude that any mathematics mechanism must be composed on contradiction necessarily. In other words, including also Felmer's theorem. Simply, otherwise, only we'd never discovered no contradiction outputting arithmetic form for calculations.

There, I'd like to propose one idea.

That is like next.

We just have considered that we must need no contradiction outputting formula. However, rather that demanding perfection could drag rather very annoyable reality in which we'd be obliged to have contradiction.

Thereby, rather at each occasion, just each contradiction otherwise should be taken advantage of calculation. In other words, not taking perfection for deleting imperfections, rather taking imperfection for admitting imperfection, though otherwise, if perfection is +and imperfection is -, +×-=0, though, rather we otherwise should take like next.

- × - =1

Though, otherwise, we'd complete that imperfection's identity's articulation.

+×+= 1

- × - = 1,

though, we dare to abandon, from the beginning, chasing only perfection at articulating e.g. at each case, according to the own character the case has, we otherwise should take arbitrarily(never universally versatile) flexibly plasticity applicable method, and if we smartly could do so, otherwise only some useful clue could be found for surviving our contradiction discovery dragging deadlock.

This time tiny casual idea, though, if I got some other useful idea, I'd like to advance this time's proposal and its immanently equipping proposition.

(Irregularly to be continued)

July.  11th.  2022