Abstract
This chapter intensifies in further depth the structure of the analytical aspects of Tawhidi methodology in socio-scientific studies. The formal derivation and its conceptual extension of the sequencing of induction of unity of knowledge across various world-systems in respect of their knowledge induced events is established. Furthermore, the ultimate application of such sequences of knowledge-induced development of the Tawhidi world-system is explained. This invokes primal ontology leading to epistemology, then to phenomenology as the conscious application in the light of unity of knowledge. These three pronged states of every IIE-learning process is carried forward in continuous processes of sustainability. The extension of the intra-system formulation and application of the Tawhidi methodological worldview across conscious historicism is extended to multi-systems. Thereby, the nature of the inter-temporal evolution of multiverses of systems is formulated. Thereby, the mathematical properties of continuity, differentiability and sustainability of inter-causal relations of unity of knowledge are explained in the topological family of monotonic product functions with the same properties. The totality of such properties is explained to evaluate the wellbeing objective criterion with inter-variable circular causation relations signifying the endogenous nature of all variables under choice by the Tawhidi law of unity of knowledge arising from primal ontology. The actual empirical evaluation of the coefficients of the wellbeing function and its system of non-linear organic relations between endogenous variables is left for exclusive chapters.
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Notes
- 1.
An example of averaging is parameterization of the ranks of each variable in terms of its induction by the rank signifying interrelationship between the variables in terms of the ranks. A ranked variable computed in a simple way, but not limited to this way of averaging is this: Assign the value 10 (say) to the best value of each of the variables, denoted by x*(θ = 10), in its column. The rest of the column parametric values are computed as, θi = (10/x*) · xi. Thereby we record the values of {xi(θi)}. Finally, the average value of {θij} is obtained across columns (i) for each row (j). The resulting parametric value is the average value of various ‘θ’s’ in the data-base.
The above parameterization method is more appropriately used for time series data. For the survey data we proceed along the following parameterization method: In the survey case, (row × column) responses of each respondent across survey questions form the Likert parametric weights. No further weighting, as in the case of time-series data is required. Averaging across responses would yield the θ-values of the data-base.
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Choudhury, M.A. (2019). Tawhidi Structure of the Participatory World-System. In: Choudhury, M. (eds) The Tawhidi Methodological Worldview . Springer, Singapore. https://doi.org/10.1007/978-981-13-6585-0_3
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