The Equation of Knowledge: From Bayes' Rule to a Unified Philosophy of Science.

In the cumulative process of integration of New collected data to refine the credence of the Theory, the Bayesian inference or update is presented as follows: Graph HT <math display="block" xmlns="http://www.w3.org/1998/Math/MathML"><mrow><mi>P</mi><mo stretchy="false">(</mo><mi>T</mi><mo>|</mo><mtext>News and</mtext><mi>D</mi><mo stretchy="false">)</mo><mo>=</mo><mfrac><mrow><mi>P</mi><mo stretchy="false">(</mo><mtext>News</mtext><mo>|</mo><mi>T</mi><mtext>and</mtext><mi>D</mi><mo stretchy="false">)</mo><mi>P</mi><mo stretchy="false">(</mo><mi>T</mi><mo>|</mo><mi>D</mi><mo stretchy="false">)</mo></mrow><mrow><mi>P</mi><mo stretchy="false">(</mo><mtext>News</mtext><mo>|</mo><mi>D</mi><mo stretchy="false">)</mo></mrow></mfrac><mo>,</mo></mrow></math> ht where I T i and I D i denote the Theory and Data, respectively. [Extracted from the article]