Two matches have been played. One point is on the board. Scotland's fate in Group C now depends, in calculable but compounding ways, on what Uzbekistan do against DR Congo, on what Argentina do to a scoreline, on what a sequence of strangers decides inside ninety minutes of football Scotland cannot influence, enter, or affect.

This is the External Dependency Cascade. Disaster Index: 7.1.

The arithmetic itself is not disputed. BBC Sport Scotland has identified the permutations. Each individual result required is within the range of the possible. Uzbekistan can beat DR Congo. Argentina can score in quantity. Individual possibility is not the same as compound probability, and compound probability is not the same as comfort. What the mathematics permits and what the mathematics recommends are different ledgers.

Scotland have been in this position before. In eight previous World Cup appearances, the group stage has always been the terminus. On several occasions, the exit came while the permutations still technically existed — a fact worth holding without dramatising. The arithmetic has been kind enough to generate hope. It has not, to date, been kind enough to generate progress.

What happens to a support base when agency is fully withdrawn is a specific and observable phenomenon. The watching stops being about football. The scorelines from Uzbekistan become objects of scrutiny for what they say about wanting rather than about Uzbekistan. A goal in a match Scotland are not playing becomes a referendum on whether the universe is, on balance, participating. Supporters who have followed the campaign from a beat-Haiti baseline, through a seventy-one-second deficit against Morocco, through the 03:00 BST vigil in Scotland that the Boston kick-off required, now sit with calculators and refresh feeds from fixtures in different groups.

This is not irrational. It is the only available activity. When the agency runs out but the tournament has not, following the permutations is what following your team becomes.

Scotland still play Brazil on 24 June at Hard Rock Stadium, Miami. That match retains full weight — a result there shapes whatever the permutations have left room for, or closes the question. The camp has not reached a state of pure spectatorship. But the percentage of the outcome that Scotland control has shrunk to something that requires favourable strangers before it can be exercised.

The Disaster Index records this without expressing an opinion on likelihood. The permutations exist. The record notes them. What they become is not yet determined.