“proposition” is a word with a lot of meanings.
It can mean proposal (especially in a political or business setting). But in an academic setting it’s an opinion/judgement.
Generally the difference is that a proposition is a “This is how we should do it” while a proposal is “This is how we could do it”
In everyday vernacular, a proposal is suggesting a way to do something to others to come to an agreement on the way to do it and a proposition is suggesting to someone to do something that can be beneficial to them, you, or both.
For example, if you needed, like, a deck built. Your buddy came over to help and you’re talking about how to go about it. You would propose an idea as how to do it. If you wanted your buddy’s help and they didn’t already offer it and are willing to give them something to help, you would offer a proposition to trade that something for their help.
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