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Reference request: Philosophy of Computational Science

Do you suggest any references (papers, monographs, books) about the philosophy of computational science? Recently, I found out about the following two: Winsberg, E. (2009). Computer simulation and ...
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Can numerical calculations be accepted as proof/refutation of a mathematical axiom?

In many cases, an algorithm can be designed and implemented to prove/disprove a mathematical axiom, but could it be accepted as proof or refutation by rigorous mathematicians?
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