Dear Lorraine,
1. On the understanding of "matter". "Schrodinger's cat" will not help here ... Quantum mechanics is a parametric (phenomenological, operationalist) theory without an ontological basification (justification) ...
To understand is to "grasp the structure" (G. Gutner "Ontology of mathematical discourse"). This is true for mathematics and physics. Today, physics has run into "dark matter", "anti-matter", "quarks", "gluons", and "singularity". In order to "grasp" the basic structure, it is necessary that the holistic paradigm -- the Universum as a whole -- come to the aid of the atomistic paradigm ("sand grain paradigm"). Here we need a new deeper ONTOLOGY - the ontology of "coincidence of opposites".
Scientists have such a metaphor: "Matter" = "Proteus of Nature".
Let us recall the ancient Greek mythology of Proteus, his daughter Eidotheus, the "goddess of form" and Menelaus. Eidothea is the daughter of the sea deity Proteus and the goddess of sea sand Psamata. When the ship of Menelaus, returning from the Trojan War, was brought by storm into Egypt, where Proteus reigned, Eidotheus told Menelaus how to get his father to show him the way to return to Greece. And let's also remember that the "first entity" is FORM. (Aristotle). From "form" - one step to understanding the nature of INFORMATION, its ontological status.
Here we need a new (old) view of matter in the spirit of Plato: Matter is that from which all forms are born. But taking into account all the problems of physics and cosmology. What are the FORMS? Absolute (unconditional) forms of existence of matter, that is, absolute (unconditional) states. Here the deepest ontology should come - DIALECTIC ONTOLOGY.
2. About the logic. What logic should be taken to move together to the truth? And what language should we take as a basis in order to better understand each other? The language of Nature? The language of matter? What is its ontological structure?
Mathematician Alexander Zenkin writes in the article SCIENTIFIC COUNTER-REVOLUTION IN MATHEMATICS:
"About thirty years ago, for the sake of" sports interest "I began to collect various" logics "used in modern logical-mathematical treatises. When their amount exceeded the second hundred, it has become clear: if the logic can be selected "on a taste" (or even can be constructed "on a need"), such notion as "science" becomes here simply inappropriate. Perhaps, the situation somewhat reminds the famous "Babylon" epic: the sounds - symbols of abstract speeches are almost the same, but the sense, if that is present, of everyone is peculiar. What was the end of the First Babylon is described in The Holy Bible ... "
At the end of the article, A. Zenkin concludes: "the truth should be drawn ..."
What logic to apply? How many "categories" and "numbers" are necessary and sufficient to "draw the truth"? I believe that the only generating logic - "the mother of all logics" - DIALECTIC ONTOLOGIC. The logic of coincidence of ontological opposites.
Can you name another "logic of all logics" for "grasping" and "drawing" the base structure?
Respectfully,
Vladimir