-"Is this a metaphysical claim, or an empirical claim?"
-Its a description. Matter that "organizes" in to structures displays mental, energetic or physical properties. So I guess it falls in to the category of empirical observations
-"Deductive or inductive? "
-Well it is an ascertainment based of objective facts product of a Systematic Methodology, not a logical conclusion that struggled between two or more possible ontologies. We don't have verified competing ontologies that forces us to have a justified logical dilemma. We only have one available realm that we can investigate and many possible mechanisms and types of emergence.
-" Can you provide a syllogism or a way in which I can empirically test this claim?"
-Well Science has proven the Necessary and Sufficient role of the responsible causal mechanism(brain functions). There is a constant stream of publications of empirical studies that verify the role of matter and the brain specifically, in the emergence of mental properties. On the other hand we don't have any other type of non material mechanism verified or available to be evaluated plus our current understanding doesn't leave any room for non material explanations to be acknowledged either Necessary or Sufficient on its own.
To empirically test our current Working Hypothesis will mean to find a condition under which it is falsified. So theverification of mind properties manifesting independent of a functioning biological brain would be an weak indication of a non material causal mechanism. An other would be the complete deprivation of the brain from any metabolic molecule, while still being able to detect, identify and verify specific mental properties.
-"How do we logically deduce or induce such a thing exists? "
-Well that is a description and any opposite conclusion should also be able to point to descriptions based on Objective observations!
Causality by any agency or mechanism that defies natural rules needs to be demonstrated not assumed at equal terms. Any suggestion of a causal agent/mechanism needs to be demonstrated as possible (one objectively verified example needed) and only then it can be accepted it as probable and included in our competing hypotheses.
-" Or empirically verify that what we observe and measure exists independently of our observation of it?"
-As I stated before we study the Necessary and Sufficient role of a proposed mechanism to be the causing a specific phenomenon/property. Both of those qualities are evaluated by Systematic empirical methodologies by relevant disciplines of science, not independent philosophical endeavors.
We need the latest verified epistemology and facts to beconsidered for our philosophy to be credible and relevant. Unfortunately, expect from some few cases, academic philosophy tends to ignore the second most important step of the Philosophical procedure(defined by Aristotle) and that is the objective evaluation and expansion of our available epistemology(science).
-"Additionally, can we observe and measure the mind?"
-FIrst of all the term "Mind" is an abstract concept that represents all the mental properties of our brain functions. So by definition we don't observe and measure any abstract concept!
i.e. we don't measure "constipation" or "photosynthesis", or "mitosis" or" digestion" . Those are labels (abstract concepts) of the quality produced by the properties of a specific system and its functions!
What we observe measure and quantify are the individual low level biological mechanisms responsible for the emergence of any high level feature of a system....that we call with the label of an abstract concept.
i.e. we can quantify constipation(one parameter) by measuring the volume of water absorption by the bowels.
Anil Seth has a great lecture on how we quantify mind properties like a conscious state.
Marcel Just, the D.O. Hebb University Professor of Psychology in the Dietrich College of Humanities and Social Sciences has published a paper on a technology that allows us to not only quantify brain patterns responsible for specific mental properties but also identify their quality (decode the content of conscious thoughts) in high accuracy (+85%).
So we observe and measure processes that our abstract concepts represent.
-"If not, what does that mean about truth?
-"Truth" is an evaluation term. We use it to evaluate statements and claims that are in agreement with current available facts. So if a hypothetical cause of a specific abstract concepts is supported by facts then the framework is true.
-"It seems to me there are many things we cannot directly observe and measure."
-that sounds possible...but do you have a specific example?
-"I would go so far as to say the observable, and quantifiable aspects of life make up a fraction of life."
-It depends on what aspects you are referring to and whether they are intrinsically quantifiable or its just an observer's irrational demand to quantify them(i.e. we can argue that abstract concept are part of our life but it is irrational to demand any quantification attempt on them)!
-"Then we should be able to observe and measure logic?"
-Again, logic is an abstract concept that refers to a list of rules for Logical reasoning. So we don't observe the abstract concept of logic, but we can observe the logical rules used by someone's attempts to reason. So yes we can evaluate/measure how logical or fallacious one's reasoning is by using those rules.
-"Theory: a supposition or a system of ideas intended to explain something, especially one based on general principles independent of the thing to be explained. There can be metaphysical theories, ethical theories, economic theories etc. Theories are not the sole tool of the physics"
-I am referring to scientific theories..they are defined differently. Scientific theories are descriptive frameworks that include Objective verified observations(facts/evidence), law-like generalizations and mathematical formulations.
Science doesn't really use "suppositions" but a basic acknowledgement of our epistemic and methodical limitations within a realm with specific characteristics and properties.
-"My question was how does one (including a methodological naturalist) verify ontological truth?"
-well that is really straight forward. We evaluate whether our candidate description agrees with observable facts and the logical implications(induction) that sprang from those facts.
-"Is ontology any way related to matter?"
-Ontology is a specific philosophical and scientific study of what exists and how. Since we have verified matter's existence and observe it , we can study its ontology!
-" How is it in the domain of methodological naturalism to tell us what the nature of what is observed is?"
-MN provides the principles (to science) that keeps our descriptions within our methods of observations and investigation. MN can only inform us for the ontology of ''things'' that we already have verified their existence. MN doesn't deal with Meta Ontological affairs and neither should philosophy.
Meta Ontology is a field that should only interest Pseudo Philosophy since any conclusion doesn't originate form an epistemological foundation and the suggested ideas are beyond any means of evaluation.
-"It seems to tell us how the observed appears to us, or what it appears to be doing."
-IT tries to describe all the observable underlying mechanisms that display a sufficient and necessary role for the emergence of a phenomenon/entity/process.
-"I don't see how observing the observed has any means of telling us that what we observe has ultimate existence independent of us. "
-Correct it doesn't address red herrings like "Ultimate" or ''Absolute" concepts. Again that is the job of Pseudo Philosophy, not philosophy or science.
ITs not honest to assume anything Ultimate beyond the level of our Cataleptic Impressions and the Reality we register not to mention claiming specific details about the nature of a meta ontological speculation.
Even if we do assume we need to speculate about the "Ultimate".... that can only qualify as a "what if" late night conversation after a couple of beers..in a bar.... or an idea in a script of a SciFi movie, not the content of a serious academic discussion.
The Philosophical procedure is well defined and so are its goals. Speculating based on unverified ideals without any means of evaluation doesn't server them or us as intellectual interlocutors!
As an artist (in real life) I can contribute really well is an "what if" conversation,since I daily exercise my imagination ...but I will never pretend to be having a philosophical discussion on such auxiliary assumptions !
I hope I made my points clear.