3 citations · 8 across the 5 of their papers we have counts for
5 papers
Probability Distinguishes Different Types of Conditional Statements
Joseph W. Norman
The language of probability is used to define several different types of conditional statements. There are four principal types: subjunctive, material, existential, and feasibility…
Aristotle's Logic Computed by Parametric Probability and Linear Optimization
Joseph W. Norman
A new computational method is presented to implement the system of deductive logic described by Aristotle in Prior Analytics. Each Aristotelian problem is interpreted as a parametr…
Bounded Global Optimization for Polynomial Programming using Binary Reformulation and Linearization
Joseph W. Norman
This paper describes an approximate method for global optimization of polynomial programming problems with bounded variables. The method uses a reformulation and linearization tech…
A Tutorial Introduction to the Logic of Parametric Probability
Joseph W. Norman
The computational method of parametric probability analysis is introduced. It is demonstrated how to embed logical formulas from the propositional calculus into parametric probabil…
Resolving Gödel's Incompleteness Myth: Polynomial Equations and Dynamical Systems for Algebraic Logic
Joseph W. Norman
A new computational method that uses polynomial equations and dynamical systems to evaluate logical propositions is introduced and applied to Goedel's incompleteness theorems. The…