Ladder

Exclusion — the ladder

3 distinct arguments against one idea, from the one that introduces it to the one that assumes the rest.
  1. a centretrue measurediminutionbounded depthstraight linesperspectivehandscrollisometricdimetrictrimetriccavaliercabinetelevationfilled means the system keeps itmeasured from each system's own projectionno row is filled in both of the first two

    A centre and a measure are exclusive

    Eight drawing systems, measured on five questions, with the pinhole as a row rather than the header. Exactly one has a centre of projection and it is exactly the one with no true measure — and loosening the measure test by a hair lets it in, which is what says the boundary is real.

    rung 1 · choices
  2. a centretrue measurediminutionbounded depthstraight linesperspectivehandscrollisometricdimetrictrimetriccavaliercabinetelevationfilled means the system keeps itmeasured from each system's own projectionno row is filled in both of the first two

    Each system answers its own question

    A comparison in which every system wins its own column proves nothing if the columns were chosen after the systems. The test that makes it a result is whether any system wins something it was not designed for — and two of them do.

    rung 2 · choices
  3. the ratio along a receding line15.6%0% parallelthe depth range in the last tenth69.0%10% lineara square metre, near against far53.5% larger0% parallelthe floor of the far room6.2 points0 parallelwhat it costs, and what the other systems have insteadmeasured on this site's own machinerythe price of a station point

    What perspective gave up

    The field ends by turning its own battery on the system it has been comparing everything against. Four quantities a pinhole destroys that the other systems keep, each measured on this site's own machinery, and each the price of the one thing perspective has and they do not.

    rung 3 · choices

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