A Theory of Experiment

Title: A Theory of Experiment

Abstract: This research proposes an algebraic and computational theory of scientific experimentation. It identifies observability and calculability in experiments, highlighting the importance of logic and quantitative errors. The theory is applicable to various scientific examples and ongoing studies.

Main Research Question: How can an algebraic and computational theory enhance our understanding of scientific experimentation?

Methodology: The study uses algebraic and computational principles, formal algebra, and the Mathematica language. It defines a lexicon of experiment-related terms and discusses the design, logical cleaning, and error analysis of experiments.

Results: The theory identifies logical and quantitative errors in experiments. It also provides a framework for understanding the relationship between mathematics and computing, and sense and form in scientific experimentation.

Implications: This theory can be applied to various scientific experiments, improving the design and analysis process. It also contributes to the field of information theory, providing a better understanding of the quest for information against complexity.

Link to Article: https://arxiv.org/abs/0201022v1 Authors: arXiv ID: 0201022v1