If you're now (it seems you are) making a physics argument, I have to just say you're wrong. This is a physics concept that is widely understood as extant and helpful to physicists. If your gripe is with the use of hte word 'instantaneous' fine, but that's not how the word is used in that phrase. It is a proper name, for all intents and purposes, and so your reading is simply inapt. In any case, the term 'instant' does not mean "zero time" unless you're using a rather unsophisticated colloquial definition. "a very short period of time" is the better way to think of the word, and solves your usage issue regardless of your disagreement with the facts of the matter (i.e that instantaneous velocity is a real, measurable thing which physicists use every day). — AmadeusD
I agree about this difference in the meaning of "instantaneous". But Banno does not accept that difference of meaning, and equivocates in his complaints about my explanations. This is a common, recurring problem I have with Banno, which became evident when I demonstrated that he equivocates with the use of "same" in his interpretation of Wittgenstein's private language argument. Instead of acknowledging the tendency to equivocate, Banno doubles down and makes fun of my arguing technique.
Notice that's exactly what Banno was attempting in this thread. Instead of looking at defining "necessary" in a rational, intelligent and meaningful way, as I proposed, Banno attempted to change the subject to discuss modal logic, which excludes "necessary" to some ideal Platonic realm. This leaves "necessary" without any practical import. But then, Banno will continue to use "necessary" in the normal, practical way, while insisting on that ideal definition. That is equivocation.
So in he case of "instantaneous", there is an ideal "instant" which refers to an assumed point in time. I say it's assumed because time flows, and there is no real point in time. So that point in time, the "instant" is an ideal only. In practise, in physics with the use of calculus, a person might determine an "instantaneous velocity". Of course, that so-called "instantaneous velocity" is really the velocity over a period of time, because the instant in time is an ideal, and the accuracy of the determination is dependent on the parameters of the calculation.
For a simplified example, suppose I take a five second period of time, and determine that the velocity of an item in that time period was 5m/s. I could insist that at every "instant" of time in that five second period, the item had that 5m/s velocity. But of course that would be meaningless, and actually false. An "instant" in this sense is an ideal only, so it is meaningless when applied toa physical object, and it is false because I determined the five second period, and divided it evenly, assuming another ideal, perfectly constant motion. Of course that is a simplified example but it applies to accelerated and decelerated motions as well, which assume constancy.
Now we have the same sort of situation in this thread. Banno wants an ideal definition of "necessary", which he represented with "MUST". Of course such an ideal form of "necessary" does not enter into any practical application, just like the ideal "instant" does not enter into the practise. The important point is that just like with the mathematics, we may represent the ideal, and claim that it enters into the practise, with the mode of representation employed, but this claim is actually meaningless and false. The real form of "necessary" which enters into our practise of logic is our decisions as to what is "necessary for", or needed for, our purposes. And this varies according to the situation and principles applied, just like the meaning of "instantaneous" varies according to the application.
Logic is not only a first principle of epistemology (i.e. deduction) but also of metaphysics. — A Christian Philosophy
I would disagree with this, placing metaphysics as necessarily prior to logic. The reason for this, is that as we come to understand the nature of reality it becomes apparent that there are aspects which escape the applicability of those primary three laws. Aristotle described this class of aspect as "potential", and matter is placed in this category. His solution was to allow for a violation of the third law, excluded middle, to accommodate for what may or may not be. The problem is deep though, because the proposal of "prime matter", pure potential, violates the law of identity, because pure potential could not have any form therefore no identity. Aristotle rejected the proposal of "prime matter" in his metaphysics, but if we accept that proposal, then we also allow violation of the second law, noncontradiction, by avoiding identity. This is the case with dialectical materialism, and dialetheism.
So the issue is that we need to adapt our principles of logic to conform to our understanding of reality, and this is why metaphysics is commonly placed as prior to epistemology. The conventional approach has been to produce forms of modal logic, and these roughly follow Aristotle's lead, as exceptions to the third law, being systems to deal with possibility. Notice that I say "systems", plural, because there is a number of possible ways to approach the reality of possibility. This is why metaphysics must be understood as prior to epistemology, because we need principles to choose which system of logic is applicable to the circumstances.
E.g. a four-sided triangle is a contradiction and thus cannot exist in any possible world. — A Christian Philosophy
This exemplifies the problem of definition. The truth of this statement requires a specific definition of "triangle". Someone could propose a possible world in which "triangle" is defined as four-sided, and this possibility renders your statement as false. So that statement places the definition of "triangle" as something completely outside the system of logic, and somehow fixed, thereby creating the necessity of "thus cannot exist in any possible world".
Clearly this is a false necessity, because words can be defined as we please. So in classical logic, definitions enter into the system, being premises, and the necessity is created by acceptance of the definition. So your example really requires another premise, which would define "triangle" as three sided, and by that premise, a four-sided triangle is excluded.
With that, since both deduction and induction/abduction are first principles of epistemology, and these types of reasoning appeal to logic and the PSR respectively, then correspondingly, both logic and the PSR are first principles of metaphysics. — A Christian Philosophy
I agree with this, but the problem is to determine which principles are applicable in which circumstances. This is where metaphysics and epistemology interact. Take your example, someone sees smoke, and concludes that there is fire where the smoke is. If the person used the premise "where there is smoke there is fire", this would be a deductive conclusion. Therefore by your definition the conclusion is logical. However, we can see falsity in the premise, and in the formulation of the premises is where we find the nuances of reasoning.
If we have found fire in every situation that we have found smoke, we still cannot derived the certainty required for "necessary", as explained by Hume. So the truth of inductive premises escapes the certainty for "necessary". Further, we have to look at what "every situation" means. If the person has only seen smoke twice, and each time there is fire, this clearly is insufficient to support the premise. Furthermore, we sometimes loosen up the rules to accept probability. Perhaps seeing fire associated with smoke 99% of the time allows one to accept the premise. Also, there are nuances within the description of "smoke" which need to be considered. A person might have noticed that black smoke is always associated with fire, and white smoke often has no fire, and so the person might be using a more nuanced premise. In short, there are many factors involved in the creation of a premise, and unless the premise is a simple definition, necessity is not provided for. And even with a definition, the defining terms are not themselves defined, because this would produce an infinite regress, so necessity is not absolute even in the case of definition.
I suppose we could identify every possible cause of a given outcome and eliminate them by testing them individually. But this could still leave room for a possible non-physical cause that could not be identified in the field of physics. — A Christian Philosophy
Yes of course, this is the base of the problem, and why dualism forms the foundation for many metaphysicians. There is a fundamental difference between efficient causation which is studied by physics, and final causation which is studied in social studies, and by metaphysics. Since there is a gap between the two, meaning that we do not understand how one acts on the other, the designation of "every possible cause" is sort of meaningless or misleading. The PSR allows for both principal types of cause as "the reason". So if we determine "every possible cause" of the physical type, and are inclined toward concluding 'no reason', this still does not exclude the possibility of a cause of the non-physical type. Therefore the PSR gives us encouragement to keep on seeking the reason for an occurrence even after it has been proven that there is no physical cause for it.
Good, we agree on something. That gives us a starting point. Care to join me on a learning experience, or is it too late to teach an old dog like yourself, new tricks?