My project, CMS, is depicted by this graph and has a short outline about its mathematical methodology in:
Brief_Outline_of_the_Mathematical_Methodology_of_CMS
CMS is a monistic verificationist common-sense method for determining probabilities, truths and decisions.
Given a single theory and some evidence, CMS gives a way to determine how many times that theory is positively tested by that evidence. This is an absolute number of non-conclusive verifications.
The probability of a theory is determined from all the available evidence, and only from it, by means of the absolute non-conclusive verifications of the contemplated theories, just by relativizing the absolute non-conclusive verifications of the theory to the total ones of all the contemplated theories. As the verifications are established upon the evidence, it follows that skeptical hypotheses do not receive verifications and therefore nor probability and nor epistemic truth (in the sense of receiving anything greater than 0).
The (epistemic) degree of truth of a theory takes place when the all the relevant theories and all the relevant evidence are contemplated in the assessment of the probability - when that happens, the probability of the theory becomes the degree of truth of the theory.
Establishing what all relevant theories and evidence are is not a problem internal to CMS, but it is a pragmatic problem in general, and CMS can apply also to this problem.
Given evidence and theories as input, CMS returns probability as output; given also all relevant evidence and all relevant theories as input, CMS returns truth as output. However, if the inputs are incorrect, then so are the outputs.
Finally, the decisions are determined on the basis of the subjective happiness and its chance (identified with the degree of truth), over all future time.
CMS offers a method for verifying philosophical and scientific theories alike. CMS is therefore a common-sense basis to naturalism and to the accepted scientific theories. Besides, CMS extends common sense by means of few (2+3+1) common-sense principles and with a mathematical precision.
It could be split into 3 main theories, and possibly also be introduced by the following environment:
0. CMS Foundational Environment1. Theory of EDC Epistemic Degree of Certainty:
EDC 26-page-summary (alias Explaining a Simple Physical World)
2. Theory of EDT Epistemic Degree of Truth (and MDT Metaphysical Degree of Truth):Epistemic Vs Metaphysical Interpretation_of_Truth_Statistical Survey
The last chapter of my PhD
dissertation is partly about this
Reformulation of the Expected-Utility Rule
4. Examples of applications
Two Anti-Putnam Putnam-Style Parables
The Handicapped Prisoner's Dilemma
Sixteen Arguments against Bayesianism
My dissertation in theoretical physics examined the development of the mathematical notion of stability, mainly through Newton, Laplace, Poincaré, Liapunov and Kolmogorov. In the appendix I proposed a possible deterministic model for the Hydrogen atom that could lead to the same radial probability density theorized by Quantum Mechanics (same within the present-day experimental temporal resolution): a philosophically interesting example of underdetermination of theory by evidence.
These are the books I read when I was little.
And here are some quotations.