Can this be solved with any HP CAS?

10012017, 03:59 PM
Post: #30




RE: Can this be solved with any HP CAS?
"When mathematics is used as a tool, it cannot be guided exclusively by internal mathematical reasoning. Instead, what qualifies as adequate tooluse is also determined by the problem at hand and its context. Consequently, tooluse has to respect conditions like suitability, efficacy, optimality, and others. Of course, no tool will provide anything like the unique solution. On the contrary, the notion of tool stresses that there is a spectrum of means that will normally differ in how well they serve particular purposes. This practical outlook demands a new view on the concept of validity in mathematics. The traditional philosophical stance emphasizes the permanent validity of mathematical theorems as a pivotal feature.
The tool perspective, in contrast, underlines the inevitably provisional validity of mathematics: any tool can be adjusted, improved, or lose its adequacy upon changing practical conditions". Introduction, pg 12 Mathematics as a Tool ISBN 9783319544687 ISBN 9783319544694 (eBook) DOI 10.1007/9783319544694 © Springer 2017 BEST! SlideRule 

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