Creation in silicon

Article Abstract:

William McCune of Argonne National Lab in Illinois has developed an automated reasoning program that demonstrates human-style mathematical creativity. It has solved a problem involving a conjecture in boolean algebras, which mathematicians have been working on since it was first introduced by logician Alfred Tarski in the 1930s. The program's success in finding a solution to this problem provides further support for the argument that there are no inherent factors preventing computers from thinking like humans.

Author: Casti, John L.
Software, Artificial intelligence, Mathematical software, Algebra, Boolean, Boolean algebra

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Lighter than air

Article Abstract:

Answering of questions beyond reasonable doubt by scientists questions the future of science and the limits of knowledge that can be explored. But there is a limit to the extent to which we can comprehend the complexities of this real world using tools and techniques of science. The discovery of x-rays, and computers strengthens the fact that nothing is impossible in science. Science is progressive because it is adaptive to all the suggested changes that come its way.

Author: Casti, John L.
Criticism and interpretation, Science, The End of Science: Facing the Limits of Knowledge in the Twilight of the Scientific Age (Book), Horgan, John

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Formally speaking

Article Abstract:

Issues concerning techniques of formulating mathematical theorems out of formalizing everyday expressions are discussed. Particular attention is given to examples of formalization of the informal in mathematics where scientists try to capture mathematically the notion of truth.

Author: Casti, John L.
Beliefs, opinions and attitudes, Mathematics

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Subjects list: Analysis
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