The requirement for things to be proven mathematically or scientifically before being accepted as truth is a fundamental aspect of the scientific method and critical thinking. It is based on the principles of evidence, logic, and empirical observation.
The scientific method involves formulating hypotheses, conducting experiments, collecting data, and analyzing evidence to test those hypotheses. This rigorous process helps to ensure that the conclusions drawn are based on reliable and objective evidence, rather than personal beliefs or subjective opinions.
The emphasis on mathematical and scientific proof is rooted in the principles of objectivity, repeatability, and verifiability. Mathematics provides a formal language for logical reasoning and proof, while scientific methods help us systematically investigate and understand the natural world.
By subjecting ideas and claims to rigorous scrutiny, we can distinguish between what is supported by evidence and what may be based on speculation, bias, or misinformation. This approach helps to minimize errors, biases, and unfounded beliefs, and it enables the advancement of knowledge through cumulative and self-correcting processes.
However, it's important to recognize that not all truths or knowledge fall within the realm of empirical science or mathematics. There are areas of human experience, such as ethics, aesthetics, and subjective emotions, where different forms of inquiry and understanding are necessary. Philosophy, art, and other disciplines contribute valuable insights and perspectives that may not be directly subject to scientific or mathematical proof.
In summary, while the requirement for mathematical or scientific proof is a rigorous standard for establishing truth in the realm of empirical inquiry, it's important to acknowledge the existence of different domains of knowledge and understanding that may require alternative approaches beyond empirical evidence.