A paper is a long and formal article about an academic subject. paper
A thesis is an article written by a student. (Student) Composition [American English]
N-COUNT (government) document
Thesis n-count thesis is a long article based on your own thoughts and research, and it is part of your university degree, especially a higher degree like a doctor.
An argument is a long formal article on a specific topic, especially for an advanced university degree. Thesis (degree)
Thesis is a broad word, which can be a general paper or an academic paper.
Papers and objections refer to academic papers and dissertations. Mainly used in universities, especially graduation or dissertation, the latter is used in a narrow sense.