Symmetry

Distance does not change with position.

Separation remains the same at every location.

Position can change without altering distance.

Direction does not change separation.

Nothing depends on where it is placed.

Positions exist across space.

Distance separates positions.

If separation depends on position, positions do not remain.

Positions shift across space.

Distance between positions remains the same.

If distance changes with shift, no relation persists.

Positions move through space.

Separation remains fixed during motion.

If separation changes with motion, motion does not persist.

Motion traces paths.

Distance along paths remains the same under shift.

If distance along paths changes, no path remains.

Paths connect positions.

Connection does not depend on location.

If connection depends on location, no structure persists.

Positions differ by direction.

Distance between positions does not depend on direction.

If distance depends on direction, no order remains.

Regions contain positions.

Distance between positions does not depend on region.

If distance depends on region, no placement remains.

Structure extends across positions.

Separation remains fixed across all positions.

If separation varies across positions, no structure remains.

If distance depends on position, separation fails.

If separation fails, position does not remain.

If position does not remain, no relation exists.

Without relation, no structure remains.

Distance does not change.

Without this, no structure remains.