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Thomas H. Snowden Hicksville, N.Y., Nov. 6, 2007 To the Editor: Senator Charles E. Schumer tries to justify his deeply disappointing vote for Judge Michael B. Mukasey by the use of transparently incomplete logic.
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Such is the case, e.g., of the first-order theory of torsion groups, known to be non-axiomatizable, and of incomplete modal logics which are only presented in syntactical (proof-theoretical) terms.
But the logic is incomplete.
Yet the analysis in this special report suggests that logic is incomplete.
"Traditional logic is incomplete as a tool of rationality," Toulmin wrote, and urged a "respect for contingency", which has its own (non-logical) necessity.
Finally, given that higher-order logic is incomplete, there are always proofs that will be entirely out of reach for any automated reasoning program.
The final result of Wyclif's revolution is therefore an incomplete system of intensional logic, which he superimposes on the standard extensional system inherited from Aristotle.
For some states these local logic may be incomplete (see section 2.3), so agents may not have information about everything that holds true of the intended range of states.
The agent's logic may be incomplete in the sense that it might miss some of the global constraints of the classification (like the ones involving inner components of the monitor).
This assumption is an incomplete simplification of the complex regulatory logic of TFs, because some TFs may not be regulated at the transcriptional level but at a post-translational level, e.g. phosphorylation of TFs.
It is possible to integrate this incomplete but valuable knowledge into the fuzzy logic system, due to the system's reasoning style, which is similar to that of a human being.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com