Recommending Probabilistic Approaches for Hypothesis Evaluation: A Gainful Extension of the Certainty Uncertainty Principle for the Social Sciences


Authors : Sujay Rao Mandavilli

Volume/Issue : Volume 9 - 2024, Issue 6 - June

Google Scholar : https://tinyurl.com/y3e2fs8y

Scribd : https://tinyurl.com/4c3jnvhx

DOI : https://doi.org/10.38124/ijisrt/IJISRT24JUN122

Abstract : This paper begins by reviewing our earlier and older paper on the certainty uncertainty principle which was published by us early in the year 2023, and by also examining its basic and fundamental postulates. We also then proceed to summarize our paper on racism and the ‘Comprehensive sociocultural persecution complex’ which was postulated as a logical extension and a practical application of the aforesaid certainty uncertainty principle for the social sciences. We also propose and examine other possible extensions of the certainty uncertainty principle such as the examination of the Flynn effect, the idea of qualified historiography, and the out of Africa theory, the multiregional hypothesis for the origin of anatomically modern humans, besides several others. We also present and propose a formula for attempting probabilistic approaches for hypothesis evaluation, and evaluate and recommend techniques for evaluating strength or weaknesses of evidence. We also correlate this paper with our various previous papers as necessary, and propose the principle and canon of non self-canceling contradictory evidence. We also hope and expect that this approach would not only constitute a logical extension of the certainty uncertainty principle, but also would be of some use in promoting the cause of rigorous and exacting science.

References :

  1. Smoryński, C., 1977, “The incompleteness theorems,” in Handbook of Mathematical Logic, J. Barwise (ed.), Amsterdam: North-Holland, pp. 821–866
  2. Awodey, S. & A.W. Carus, 2003, “Carnap versus Gödel on Syntax and Tolerance,” in Logical Empiricism: Historical and Contemporary Perspectives, P. Parrini et al. (eds.), Pittsburgh: University of Pittsburgh Press, pp. 57–64
  3. J. L. Bell, and M. Machover, 1977. A Course in Mathematical Logic. North-Holland

This paper begins by reviewing our earlier and older paper on the certainty uncertainty principle which was published by us early in the year 2023, and by also examining its basic and fundamental postulates. We also then proceed to summarize our paper on racism and the ‘Comprehensive sociocultural persecution complex’ which was postulated as a logical extension and a practical application of the aforesaid certainty uncertainty principle for the social sciences. We also propose and examine other possible extensions of the certainty uncertainty principle such as the examination of the Flynn effect, the idea of qualified historiography, and the out of Africa theory, the multiregional hypothesis for the origin of anatomically modern humans, besides several others. We also present and propose a formula for attempting probabilistic approaches for hypothesis evaluation, and evaluate and recommend techniques for evaluating strength or weaknesses of evidence. We also correlate this paper with our various previous papers as necessary, and propose the principle and canon of non self-canceling contradictory evidence. We also hope and expect that this approach would not only constitute a logical extension of the certainty uncertainty principle, but also would be of some use in promoting the cause of rigorous and exacting science.

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