They vary. The example at hand is a driver approaching a light.
They don't vary. There are a few different notions and principles, some trivial, some not so, but they don't vary. And what the example at hand has is the trivial kind as witnessed in a thermostat.
That was done.
You still needed the supernatural assumption.
Never needed it, never provided it, never used it. And every effort you have made to show otherwise merely demonstrates how you are applying the conclusion as an assumption. And thus you assume that Socrates is mortal.
That is the meaning, in English, of the word "capability".
You can't apply the word to one scenario (repeated testing, for example) and claim that that means the word assumes that scenario. Capability simply means the ability to do something. If there is no alternative to what the thing can do at the time then it has no capability at that time of doing anything else. It's not rocket science. Yes, there is a capability when looking at counterfactual or imagined alternatives, where if the inputs were different the output could be different. But they do not relate to the actual event in question, but instead to other events at different times. For the event in question there is no capability to do anything else.
Supernatural ability - if you use specific and accurate terms, you may confuse yourself less.
If you want to call it supernatural because you conclude that it doesn't exist, so be it. Personally I have no need to introduce the supernatural to the table, either in conclusion and certainly not in assumption. Maybe you can do likewise?
Capabilities are defining physical characteristics of entities, and they are observed - they don't disappear and reappear from moment to moment based on what will happen later on.
When talking in casual parlance you may well be correct, but when investigating the philosophical, as we are, one has to be far more precise about what one is referring to as being a capability. In this case, you are referring to capabilities not for any given input but the the trivial notion that if you applying different inputs you get different outputs. We call them capabilities in casual parlance because we don't consider the inputs to be predetermined, or particularly restricted, but in philosophy we can do. And that predetermination means that the inputs at any given moment are restricted, and thus the output is restricted. And at any given moment it has no capability to do anything else.
The inputs that will exclude its possibility do not yet exist, and have not yet been put in.
They do exist. That is what it means to be predetermined. Everything now and in the future is already factual from aeons ago. We just don't know what is factual and what is counterfactual until after the event, but our knowledge doesn't change which is which.
Causation backwards in time would be a supernatural ability, and we agreed to exclude such things.
Then we're lucky there is no causation backwards in time being proposed, aren't we.
That does not follow. There is no way for future inputs to affect present reality, and until they do the ability to do otherwise than they will indicate can often be observed to exist - actually, physically, genuinely, in the natural world. It has to - the entity was predetermined to make the upcoming choice from among its capabilities, after all.
It does follow, but not in the way you are misunderstanding. If the driver is already imagining and choosing what to do before the colour of the light is observed then he is doing so because other inputs have predetermined him to do so. Those capabilities he is imagining are just that: imagined. At any point while he is imagining those capabilities the driver can only do what he is predetermined to do. The predetermination doesn't start and stop with the scenario. Everything is predetermined. The light, when observed, is just another input into the system. And at any given time the system can only ever do what the inputs to the system the moment before determines must be done in that moment, which in turn act as the inputs to the system for determining the next moment. No capability to actually do anything else at that time.
You did base your dismissal of non-supernatural degrees of freedom on the presumption they were trivial, and that presumption was not a conclusion of any argument -( as the garbling of the next sentence indicates: you cannot express your thought clearly, because it doesn't make sense.)
If you want to call it a presumption, sure, go for it, but when I conclude that all you are referring to is the same principle of freedom I see in a thermostat... I consider it trivial.
So you presume. What that common nature is remains undescribed and unconsidered.
No, the nature is: thermostat on, thermostat off. That much the logic concludes. What remains undescribed and unconsidered is how we perceive it as something else, how we perceive it as being us as the instigators of the action. I.e. The complexity of the system, not the nature of the freedom
Just several orders of magnitude more complex, with the many more and qualitatively different degrees of freedom that hierarchies of logical levels provide. Dreams have become causal, information has become causal, consciousness has become causal, every aspect of human nature has become causal and part of the determination of future events.
But the nature of the freedom remains that of a thermostat: thermostat on, thermostat off.
But that's not worth discussing, apparently, because it's trivial - by assumption.
Ah, I get it, anything I disagree with you on is because I have simply assumed it so from the outset! I get it! Finally! Oh, thank heavens for that! I was starting to think you took yourself seriously!