Logical Truth and Rules of Inference
The concept of logical truth is closely connected to the concept of a rule of inference.
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Famous quotes containing the words logical, truth, rules and/or inference:
“It is possible—indeed possible even according to the old conception of logic—to give in advance a description of all ‘true’ logical propositions. Hence there can never be surprises in logic.”
—Ludwig Wittgenstein (1889–1951)
“Books may be burned and cities sacked, but truth like the yearning for freedom, lives in the hearts of humble men and women. The ultimate victory, the ultimate victory of tomorrow is with democracy; and true democracy with education, for no people in all the world can be kept eternally ignorant or eternally enslaved.”
—Franklin D. Roosevelt (1882–1945)
“Here was a place where nothing was crystallized. There were no traditions, no customs, no college songs .... There were no rules and regulations. All would have to be thought of, planned, built up, created—what a magnificent opportunity!”
—Mabel Smith Douglass (1877–1933)
“Rules and particular inferences alike are justified by being brought into agreement with each other. A rule is amended if it yields an inference we are unwilling to accept; an inference is rejected if it violates a rule we are unwilling to amend. The process of justification is the delicate one of making mutual adjustments between rules and accepted inferences; and in the agreement achieved lies the only justification needed for either.”
—Nelson Goodman (b. 1906)