Arguments Regarding The Semantic Truth of Vacuously True Logical Statements
This is a complex question and, for simplicity of exposition, we will here consider only vacuous truth as concerns logical implication, i.e., the case when has the form, and is false. This case strikes many people as odd, and it is not immediately obvious whether all such statements are true, all such statements are false, or some are true while others are false.
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—Zeno Of Elea (c. 490–430 B.C.)
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—David Hume (1711–1776)
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—Ralph Waldo Emerson (1803–1882)
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—T.S. (Thomas Stearns)