Commonly Shared Foundation of Mathematics, Information Science, Natural Science, Social Science, and Theology

Through a simple thought experiment, this paper shows that there must be a shared foundation of mathematics, information science, natural science, social science, and theology. The thought experiment is to ask a volunteer to write down an arbitrary real number between 0 and 1 with many digits. For example, 0.19823765010367129462…. would be one of such numbers. Then we analyze this experiment result by asking five simple questions: Is the real number a random real? Can the observed real number be produced by a computer? What laws of physics govern the real number creation process? How to predict which number the volunteer choose to write? What is the meaning of the real number creation actions? Without answering these questions, this paper proves that these five questions are fundamental to mathematics, information science, physics, social science, and theology respectively. These five lines of questioning are universally applicable for all human choices. Because these five lines of questions are closely related with each other, we conclude that there must be a commonly-shared logic foundation for mathematics, information science, physics, social science, and theology.