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RE: An Introduction to Mathematical Proofs, Part 1: Basic Logic And Truth Tables
How do you deal with the probabilistic nature of your True/False questions. For example, not everyone will agree on whether we have discovered aliens in 2050, as not everyone agrees on whether we have already discovered them.
Also some consider a glass of orange juice as breakfast and others would not. Applying formal logic to tautologies (things that are just restatement of definitions) is clear, but it seems it is almost always statistical and relative when attempting to apply it to the real world.
Good question. When dealing with logic it's important to avoid ambiguity. The statement "discover aliens" would need a concrete definition or meaning to avoid unclear wordings, especially on the logic side of things. I'm approaching this from a mathematical side so when we move primarily onto symbols and math statements will almost always be clear and have 1 meaning.