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What A Requirement List Admits

Fifty notes on what a list of requirements admits

One edit

Moving One Item Down, Which Gains The Most

Demoting one compulsory item to optional multiplies the intake by thirty-three fourteenths. The largest single widening, and it removes nothing.

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Take one item out of the compulsory part and put it among the optional ones. The intake rises to thirty-three fourteenths of what it was — an increase of more than two thirds, from a starting shape of three compulsory and six optional requiring three.

Nothing was deleted. The list still names the same nine things. A reader who had met that item still meets it.

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Why it does so much

The mirror of promotion, and for the same two reasons.

The item stops being an absolute barrier, which doubles the intake on its own. And the optional pool grows by one while the threshold stays put, so three-of-six becomes three-of-seven — a proportionally looser rule over a larger pool.

Both effects point the same way and multiply.

Why it is the move nobody makes

Because it requires saying out loud that something previously called essential is not.

That is a social act, not an arithmetic one, and it is harder than it looks. The item was put in the compulsory part by somebody, for a reason, and moving it down reads as overruling them. Deleting the item outright would be worse, which is why the easiest-looking fix — shortening the list — is actually the more confrontational one.

Demotion is the gentler change and it reads as the harsher. That inversion is why lists tighten over time and almost never loosen.

Removing a line says the thing does not matter. Demoting it says the thing matters and need not be universal. The second is both truer and easier to defend, and it is the one nobody proposes.

What it preserves

Everything the item was doing as information.

A demoted item still appears on the list. It still tells a reader what the work involves. It still counts towards the threshold for anybody who has it, so it continues to distinguish candidates — it simply stops disqualifying the ones who lack it.

Compulsory Optional
tells readers what the work involves yes yes
counts in favour of a candidate who has it yes yes
disqualifies a candidate who lacks it yes no

Only the last row changes, and it is the only row that was narrowing the filter.

When it is the right move

Whenever the honest answer to "could somebody without this do the work?" is anything other than a flat no.

That covers most items on most lists. Compulsory means absolute, and very few things genuinely are. An item that is merely important, or usual, or strongly preferred, belongs in the optional part with the threshold carrying the weight.

Where the thirty-three fourteenths comes from

The starting shape admits forty-two profiles out of five hundred and twelve. Demote one compulsory item and it becomes two compulsory and seven optional, threshold still three.

Seven optional items give one hundred and twenty-eight profiles, of which ninety-nine meet three or more — the running sum of thirty-five, thirty-five, twenty-one, seven and one. The denominator is unchanged at five hundred and twelve, because the number of items is unchanged.

Ninety-nine over forty-two reduces to thirty-three fourteenths, a little over two and a third. It is the largest widening available from a single edit, and the only one that leaves the list reading exactly as it did.

Doing it twice

Demoting a second item gives one compulsory and eight optional at a threshold of three, and the numerator rises from ninety-nine to two hundred and nineteen.

So the second demotion multiplies by seventy-three thirty-thirds, about 2.21 — slightly less than the first. Together the two demotions multiply the intake by seventy-three fourteenths, a little over five.

Shape Admits (out of 512)
3 compulsory, 6 optional, 3 needed 42
2 compulsory, 7 optional, 3 needed 99
1 compulsory, 8 optional, 3 needed 219

Three edits of this kind, none of them visible on the page, and the filter has gone from one in twelve to better than two in five.

What it looks like in the document

Almost nothing, which is both the advantage and the reason it is overlooked.

The line stays where it is and says what it said. One word changes — a "must" becomes a "should", or a line moves from one heading to another — and the item is still named, still visible, still something the work touches.

Compare that with the obvious alternative, which is deleting the line. Deleting it loses the information, invites an argument about whether the item ever mattered, and widens the filter by less: removing an optional item multiplies the intake by sixteen twenty-firsts, which narrows it, while removing a compulsory item doubles it. The demotion does better than either and costs a word.

The practical sequence for a list admitting nobody

Demote first. It is the largest single widening, it deletes nothing, and it can be done to several items in turn.

If that is not enough, lower the threshold, which multiplies by nineteen fourteenths from the same base. If that is still not enough, the list has too many items for the work it describes, and that is a different conversation — but it is worth reaching it having exhausted the two changes that cost no information at all.

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