Ladder

Comparison — the ladder

One essay so far against this idea. A ladder is the distinct arguments that stand against one idea, and this one has room to grow.
  1. ↑ − 0= ↑outcome L↑ > 0∗ − 0= ∗outcome N∗ ‖ 0⇑ − ↑= ↑outcome L⇑ > ↑1/2 − 1/4= 1/4outcome L1/2 > 1/4↑∗ − ∗= ↑outcome L↑∗ > ∗the differencethe verdict‖ means confused: neither greater, nor smaller, nor equal — and no amount of care removes it

    Comparing positions

    One position is worth at least another when the second player wins their difference. That is the only definition there is, it is a computation rather than a judgement, and it produces an order in which some pairs are simply not comparable.

    rung 1 · sums

All ladders