Final answer:
The most logical argument following Jefferson's ideas in the Declaration of Independence is that people have the right to alter or abolish oppressive governments to secure their inalienable rights.
Step-by-step explanation:
The argument that most logically follows from Thomas Jefferson's expressed ideas in the Declaration of Independence is that the people have the right to alter or abolish a government that infringes upon their rights. This is in line with the principles of natural rights and the social contract, as articulated by John Locke and evident in the Declaration's assertion that governments are instituted to secure the inalienable rights of Life, Liberty, and the pursuit of Happiness. When a government becomes destructive of these ends, it is not just the right but also the duty of the people to overthrow such government and establish new governance that secures their safety and happiness.