On my model, the phrase “I will do X” can be either a plan, a prediction, or a promise.
A plan is what you intend to do.
A prediction is what you expect will happen. (“I intend to do my homework after dinner, but I expect I will actually be lazy and play games instead.”)
A promise is an assurance. (“You may rely upon me doing X.”)
I’m confused about how continuity poses a problem for “This sentence has truth value in [0,1)” without also posing an equal problem for “this sentence is false”, which was used as the original motivating example.
I’d intuitively expect “this sentence is false” == “this sentence has truth value 0″ == “this sentence does not have a truth value in (0,1]”