Philosophic Research

In Mr. Lewis's book, Philosophic Research, he resolves the logical and semantic paradoxes in article 1. Also in article 1 of his book, Mr. Lewis demonstrates the logical invalidity and falsity of Mr. Kurt Gödel's famous proof of his incompleteness theorem. Mr. Lewis actually proves the opposite, the negation of Mr. Godel's proof, the "completeness theorem" In article 2, essay 2.1, Mr. Lewis shows that all inductive inferences, instead of being necessary, are only contingent inductive inferences. In essay 2.2 of his book, Mr. Lewis comes up with the correct formula for inductive inferences and in essay 2.3, he examines Karl R. Popper's Philosophy Of Science as well as Thomas S. Kuhn's Philosophy of Science. And in essay 2.4, Mr. Lewis formulates a "dualistic true and false concept" to be applied to some of our scientific theories. In essay 2.5, he formulates more philosophical notes on science.