Questions tagged [propositional-logic]

99 questions
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How can “a implies not a” be true?

Why does the capacity of the formula a -> ~a to be true seem so counterintuitive? Can you give me some ordinary language examples of this case?
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Difference between Propositions and Statements

I have read the answers to many questions like mine I reached these two definitions of propositions (I don't know which one is correct) A proposition is a statement that can be true or false. If this is true then what characteristic should a…
Credence
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Are these formulas correct in modal logics?

I'm looking to try to simplify 2 different formulas to be easier to say but i'm not sure on the exact rules of propositional calculus. I am starting with the two formulas (1) and (2) and i'm experimenting with the equivilences (3) and (4) where (3)…
Richard Bamford
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looking for tool(s) for making diagrams with

I am looking for some tool to create symbolic logic derivation diagrams with horizontal and vertical scope line and sub derivations. Then I want to be able to add them to a word document. Word doesn't appear to make creating the diagram possible. …
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Is this proof valid (noob)?

I'm trying to prove that from P we can conclude that Q implies (P and Q). I understand how this is true intuitively, but I'm just getting a grasp of how to use propositional logic, its rules, etc. to express that. Any help would be appreciated.…
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Translating English statements to logical expressions

this is my first questions so I apologize for any formatting mistakes. Given the following propositions: c: I will return to college. j: I will get a job. and given the sentence: "There is no way I am returning to college." I need to translate…