As I understand it, Argentina's claim of soveirngty is largely based on the international laws of uti possidetis juris and uti possidetis.
12.
Chile claimed that according to the Uti possidetis of the Spanish crown, the coastal region belong to them and their territory bordered directly with Peru.
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(3b ) The uti possidetis argument ( Joe Hung's argument ) . ( This principle is a rule for resolving treaty ambiguities ).
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:AnonMoos's uti possidetis is probably what the OP wants, but if you read the question literally, there's another answer.
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This contrasts with " uti possidetis ", where each side retains whatever territory and other property it holds at the end of the war.
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I have just added " Category : International law " to Uti Possidetis; it was unfindable otherwise . talk ) 19 : 57, 30 September 2008 ( UTC)
17.
On the other hand, European powers and the USA never recognized the principle of " Uti possidetis " 1810, as for example in the Falkland Islands.
18.
Argentina and Chile base their territorial claims in Antarctica on the " uti possidetis juris " principle the same way they did so for their now recognized Patagonian claims.
19.
Since uncertainty characterized the demarcation of frontiers according to the " Uti possidetis " 1810, several long-running border conflicts arose in America after independence throughout the 19th century.
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In 1964 the Organisation of African Unity passed a resolution stating that the principle of stability of borders the key principle of " uti possidetis " would be applied across Africa.