Admissibility frontier · Edition 3

Expanded claim page · assertion 1 of 1

Three relations do not select an orientation

Obstruction / no-goAuditor

A stated candidate class or identification has been ruled out under explicit assumptions. checks assumptions, certificates, counterexamples and stopping rules.

Exact assertion

A triangle can be traversed clockwise or anticlockwise. The unoriented graph does not choose between them. This simple fact reappears at the selector gate: symmetric endpoint data cannot select a non-fixed orientation. A boundary normal, historical preparation, complex phase reference or other odd datum must be physically supplied and locally coupled.

What this commits us to

A specified candidate class fails under explicit assumptions. The conclusion does not automatically extend to mechanisms outside that class.

Logical anatomy

Scope

Chapter “One carrier, two faces, three relations”, section “Three relations do not select an orientation”. This is assertion 1 of 1 in that section.

Evidence posture

Check the assumptions defining the ruled-out candidate class; the no-go does not automatically extend beyond that class.

Research move

checks assumptions, certificates, counterexamples and stopping rules.

Verification route

  1. Recover the declared objects and assumptions from the controlling documents.
  2. Check the calculation, construction, obstruction or stopping rule on those same objects.
  3. Compare the source conclusion with the exact assertion above; do not strengthen its verbs or enlarge its domain.
  4. Apply the status rule and retain every named external dependency.

What would move or defeat this claim

Break one of the no-go assumptions in a controlled construction, or show that the alleged obstruction does not follow within its stated class.

Source map

Controlling documents