Titlebook: Mathematical Knowledge Management; 5th International Co Jonathan M. Borwein,William M. Farmer Conference proceedings 2006 Springer-Verlag B

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Capturing the Content of Physics: Systems, Observables, and Experimentsements. The representational infrastructure for systems and experiments allow to capture the distinctive practice of physics: natural laws are supported by evidence from experiments which are described, disseminated and reproduced by others.

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The Omega Number: Irreducible Complexity in Pure Mathr than they are. In other words, you need a mathematical theory with . bits of axioms in order to be able to determine . bits of Ω. This pathological property of Ω is difficult to reconcile with traditional philosophies of mathematics and with traditional views of the nature of mathematical proof an

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Roles of Math Search in Mathematicsdes finding information, math search can help advance and manage mathematical knowledge. This paper will present the short-term goals and state of the art of math-aware fine-grain search. Afterwards, it will focus on how math search can help advance and manage mathematical knowledge, and discuss wha

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A Dynamic Poincaré Principleven at different levels of abstraction and writing a proof is typically a compromise between two extremes. On the one hand it should be in full detail so that it can be checked without using any intelligence, on the other hand it should be concise and informative. Making everything fully explicit is

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A Proof-Theoretic Approach to Tacticsofs quickly and easily. The language used for tactics is usually a full-scale programming language, separate from the language used to represent proofs. Consequently, there is also a separation between the use of theorems in proofs and the use of tactics. Our goal is to represent tactics in a way th