Is this an argument
An argument arguing that it is an argument.
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There is conclusive proof that this is an argument. It is an attempt to pursuade someone of something and It has reasons which support the conclusion for example ; "It has reasons which support the conclusion".
The proof is inconclusive and irrational. The intent of your attempt is not to persuade for example Charles Manson
An argument can't argue that it is an argument. The purpose of something is not defined, expressed or justified by itself, it just serves the purpose. So that is not an argument. Cantor may have failed to find the ultimate infinity but he did find that logic is based on uncertainty because as a language it could not be used to explain or justify itself. 1+1 being 2 is a generalisation that we make to build logic and communicate, there is no certainity in that 'fact'
It looks like an argument. It does have yes and no points.And there seems to be a verbal tussle in process.
What do you think?