A new demarcation is proposed between Natural Philosophy and non-Natural Philosophy—philosophy tout court—based on whether or not they follow a non-standard logic of real processes. This non-propositional logic, Logic in Reality, is based on the original work of the Franco-Romanian thinker Stéphane Lupasco. Many Natural Philosophies remain bounded by dependence on binary linguistic concepts of logic. I claim that LIR can naturalize—bring into science—part of such philosophies. Against the potential objection that my approach blurs the distinction between science and philosophy, I reply that there is no problem in differentiating experimental physical science and philosophy; any complete distinction between philosophy, including the philosophy of science and the other sciences is invidious. It was historically unnecessary and is unnecessary today. The convergence of science and philosophy, proposed by Wu Kun based on implications of the philosophy of information, supports this position. LIR provides a rigorous basis for giving equivalent ontological value to diversity and identity, what is contradictory, inconsistent, absent, missing or past, unconscious, incomplete, and fuzzy as to their positive counterparts. The naturalized Natural Philosophy resulting from the application of these principles is a candidate for the ‘new synthesis’ called for by the editors.