You need to read my post again.
See Block’s, Is There an “Anomalous” Section of the Laffer Curve?.
“The land that you homestead and claim is yours is actually mine and therefore if you prevent me from burning down the house that you built (and I own), you are committing an act of aggression.” How would you respond to someone who says this?
The latecomer would need some proof in a courtroom…?
For the injured child hypothetical, keep this in mind. We might call the actions of the rescuers trespass, or assault, on the homeowner. This is within an exact scientific framework or praxeological legal theory. Still, a judge could simply refuse to press charges against the trespassers. His action as arbitrator is to determine the maximum allowable punishment which he or his security force will uphold.
Also, this would be something good to discuss in my Police Forces thread, rather than here about Hoppe. First of all, people are going to make contractual agreements with security and justice providers ahead of time in many instances. These various agencies will reach agreement amongst themselves. When you sign up with Acme Security Inc., you are ceding your right to determine your own spin on justice and take all matters into your own hands. You are agreeing to abide by their rulings and whatever this may lead to because of the company’s other preexisting arrangements. There very may become common a clause to the effect of, “Given no apparent threat to one’s own life, the customer agrees to allow rescue efforts on his property, and any restitution for property damage”…[will be handled along such and such lines].