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Please read this thread and repost accordingly

https://www.physicsforums.com/showthread.php?t=459350

https://www.physicsforums.com/showthread.php?t=459350

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HallsofIvy

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All mathematical statements are of the form "If ... then ..." (even if the "if" part is not explicitely stated). That is, mathematics is about "structure", not "content". Think of mathematics as "templates" where you enter the specific content into the "blanks".

It is true, from the meanings of the words "or" and "if ... then", that "if a is true, then "a or b is true", is a true statement. The "content"- what "a" and "b" mean and whether a is true or not, is not part of that statement and the truth of the statement does not depend on the truth of a and b separately.

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