The project was to fix a finite number of symbols ( essentially the rules of inference which would model the way humans make conclusions.
32.
This is often called the " law of contrapositive ", or the " modus tollens " rule of inference.
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Whereas a rule of inference is always applied to a whole logical expression, a rule of replacement may be applied to only a particular segment.
34.
In propositional logic, these symbols can be manipulated according to a set of axioms and rules of inference, often given in the form of truth tables.
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:: What you do from now on will depend on exactly what rules of inference you're allowed, which I obviously don't know.
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The same Wikipedia article unlikely perhaps may be qualified both as an axiom / theorem of some logical calculus and a rule of inference ( or metatheorem ).
37.
Disjunctive syllogism is closely related and similar to hypothetical syllogism, in that it is also type of syllogism, and also the name of a rule of inference.
38.
Rules of inference play a vital role in the specification of logical calculi as they are considered in proof theory, such as the sequent calculus and natural deduction.
39.
If you can prove that no consistent system exists then you should restrict the rules of inference . talk ) 11 : 41, 8 June 2011 ( UTC)
40.
Since there are more than two truth values, rules of inference may be intended to preserve more than just whichever corresponds ( in the relevant sense ) to truth.
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