Logical Truth and Logical Constants
Logical constants, including logical connectives and quantifiers, can all be reduced conceptually to logical truth. For instance, two statements or more are logically incompatible just in case their conjunction is logically false. One statement logically implies another when it is logically incompatible with the negation of the other. A statement is logically false just in case its negation is logically true, etc. In this way all logical connectives can be expressed in terms of preserving logical truth.
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Famous quotes containing the words logical and/or truth:
“It was at that moment, just after Krug had fallen through the bottom of a confused dream and sat up on the straw with a gasp—and just before his reality, his remembered hideous misfortune could pounce upon him—it was then that I felt a pang of pity for Adam and slid towards him along an inclined beam of pale light—causing instantaneous madness, but at least saving him from the senseless agony of his logical fate.”
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And never gives to truth and virtue that
Which simpleness and merit purchaseth.”
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