The whole bike exists, or rather all of its parts. Yet, again, the parts themselves can be divided, even if they actually aren't divided; & until they are, they're a single or undivded thing. & so there's an actually finite, but potentially infinite, amount of divided parts composing the bicycle.the whole bike exists and all its parts — Gregory
However, an extension in the distanced traveled or moved, such as either the revolution about the surface of Gabriel's horn or the rotation about its axis, can most definitely subsist, that is, can remain, as a potentiality; & therefore it may approach or tend to infinity but without ever actually being infinite. This is precisely what you're missing about the case of Gabriel's horn. The extension of its surface area is potentially infinite, as it can just keep going on & on, but it's never actually infinite.A part of say a bicycle doesn't exist potentially however — Gregory
If there are "unseparated parts," how would I know how many parts there are, infinite or otherwise? If they're not separted or divided, they're not parts; if they're separated or divided, they're parts. "Unseparated parts" is an oxymoron (another logical blunder); as all parts are separate from each other, despite how deceiving appearances may be.Now does an object have infinite unseparated parts — Gregory
... says the wall who's incapable of grasping that what can be parted isn't parted. The only thing that you've refuted is any claim of yours to logical competence.It's like talking to a rock. If parts can be divided they are there — Gregory
A subtle distinction is being overlooked here, which is, what I take to be, the root of your mistake. What's divisible into, say, two parts, isn't actually divided into two parts, for it was, then it wouldn't be "divisible" into two parts but actually divided into two parts. This subtle distinction, between being "divisible" (which is a possibility, as in being capable of being divided but literally being divided) & being (actually, not potentially) divided, should lead one to see that what's potentially infinitely divisible isn't actually infinitely divided. Comprehending this is the key to understand that what's potentially infinitely divisible is never actually infinitely divided, & therefore it's never actually made up of infinitely divided or separated parts but only potentially; &, moreover, if one pursues the division of what's potentially infinitely divisible into discrete parts, they'd always be at an actual finite amount at any point in their progress.If a piece of matter is infinitely divisible it has infinite parts in actuality — Gregory
Meaning, a potentially infinite whole is only potentially composed of infinite discrete parts, but it's never actually composed of so many parts.Also, Aristotle's point was that a potential whole is only potentially composed of parts, & not actually — aRealidealist
As I far as I see it, no, you can't. Anyhow, take care, pal. Your bare assertions are leading us nowhere. However, I still thank you for our back-and-forth. Peace.I can tell what someone's argument is — Gregory
You mean, what you consider to be important. For what's really important & what you take to be important aren't the same evidently.I only read the important parts of replies. — Gregory
Who's claimed, let alone implied, otherwise? You're going off of the rails. Also, just like I've thought, no citation of Aristotle leading people to believe what you've alleged that he has is forthcoming; just more bare claims. Not surprising.The whole doesn't supersede its parts. — Gregory
Yes, it can. It subsists as a possibility relative to what can initiates its unfolding in time, despite its unfolding not yet having been initiated in time. To say that a potential infinity isn't possible before unfolding in time, which you maintain, contradicts the assertion that a potential infinity is even possible at all. Ironic. Also, Aristotle's point was that a potential whole is only potentially composed of parts, & not actually. Can you provide, from his writings, a citation of what you allege that he has led people to believe? I think not.A potential infinity can't just subsist. That's Aristotle's great error, who in his ignorance lead people to think that a whole only potentially has parts — Gregory
So an infinitude of moments has unfolded to your, or everyone's, consciousness, past, present, & future? Okay, if that's so, & the present & the future are all there at once to your consciousness, then tell me with what words my next reply to you will start with. Your answer will be quite telling. & why can't people predict the future as accurately as they can discern the present, I mean, if it's all just there at once? Such a claim contradicts all of experience. Abstract mathematics has taken some people far away from reality.If the series is infinite and each moment enfolds only to our consciousness, the fabric of the universe in it's eternal state would be infinite. The rock "now" and then "at another time" would each be all there at once so the universe, instead of being in the present, would be all at once infinite. — Gregory
No, I don't object against the possibility of an instant being eternal, but I object to the reality of change, such as that of motion, being compatible with one eternal instant or moment (for reasons that I've provided in my previous posts above).Now you object to calling eternity an instant but how else would you describe it while keep it a temporal thing? — Gregory
Granted, a potential infinity can't unfold but in time; nevertheless, a potential infinity is still possible even if it's not unfolding, & therefore it's possible before unfolding in time, i.e., a potential infinity is still possible even if it's not unfolding in time. If it wasn't possible before unfolding in time, then it could never proceed to unfold in time!Finally, there is no "potential infinity" where there is no time. — Gregory
Uh, no, it's not, precisely because this potential hasn't been, nor will ever be, rendered actual (distinction between potential & actual is crucial here); no more than a potential limitation in one's enumeration of the series of whole numbers is an actual limitation, for they can just keep on going & going but without ever stopping, although stopping is always a possibility.If we approach an infinite surface area and it is potentially infinite to our action then it is infinite in itself — Gregory
From Wikipedia (https://en.m.wikipedia.org/wiki/Gabriel%27s_Horn): "Gabriel's horn is formed by taking the y = 1/x, with the domain x ≥ 1 and rotating it in three dimensions about the x-axis." "Mathematically, the volume approaches π as a approaches infinity." "There is no upper bound for the natural logarithm of a, as a approaches infinity." - Thus, it should be clear that infinitude, in this context, is strictly generated by the rotation about the axis (as I've stated in my post that you're replying to); which approaches or tends to infinity but is never itself infinite. Hence, the surface area is never in fact infinite, but, like an object proceeding or moving about a circle's surface, it's approached or tended to by a never-ending revolution about the horn's surface or rotation about the axis.Well you are wrong about Gabriel's horn. Infinite surface area with finite space within! — Gregory
Motion is no less compatible with the idea of an "eternal moment" than it is with an "eternal instant"; the word changes, but the incompatibility remaims. For what distinguishes one moment from another, if not their content that defines them? So, if x is in point A at a given moment, then when it's in point B, this would, by definition, constitute a different moment; because two moments that are defined the same wouldn't be two different moments but one & the same, while two moments with different definitions would literally be two different moments. So, again, motion is incompatible with a changless moment that's one & the same (or defined as such) eternally so, i.e., an "eternal moment"; indeed, the change of place/position, i.e., motion, requires one moment to end, i.e., x in point A, & another to begin, i.e., x in point b, in order for it to occur, whereby neither moment (as neither what begins or ends) is eternal.an eternal instant is just my phrase for B Time. "Instant" keeps the element of time intact. An absolute flow of time is inconsistent with relativity as understood by Einstein. So if there is something objective here it would be an eternal moment and all it contains. — Gregory
Sure, if time is infinite, then time in the universe would be infinite; nevertheless, this doesn't mean that space or a shape would have to be infinite, but only the series of events.but my point still stands that if B Time is true and the series of past events is infinite, the universe would be infinite — Gregory
Lol, if you really that think I've corrected myself, rather than having repeated my original assertion, this conversation is wayyy beyond me.But you initially made an absolute statement, and you then qualified it as a relative statement after I pointed out your error to you. So congrats on understanding what I said to you and putting in the correction. — fishfry
Aw, why thank you. Aren't you just the perfect combination of genius & kindness? Take care, pal.You can have the last word. — fishfry
... you should also that believe that your illogical assertion caused it.That, I believe. — fishfry
Lol, are you saying that two, or multiple, things can't be moving relative to each other? So, yeah, there's no self-refutation. You just seem miss the fact that, given a determinate context, the motion of multiple things can be distinguished by their directions.Thus you inadvertently refute your own statement. You said, and this is a direct quote: "For motion can only be defined as a change of place or position,"
But since by that definition everything is in motion relative to something, your definition is true but useless, since I can't use it to determine whether a thing is moving or not. — fishfry
How do you figure? In my previous post, I've shown that, given a determinate context, motion & rest (as the change of place/position, or the lack thereof) are easily determined. I'm honestly stupefied by this conclusion of yours. You seem to think that just saying it makes it true.since I can't use it to determine whether a thing is moving or not. — fishfry
Yes, relative to place/position, as I've originally asserted.So you agree that all motion is relative. — fishfry
No, I can't; because I've originally said that motion is defined as change of place or position, the motion relative to a thing's place or position - which is always relative, not absolute, so it's not a lot different than what I've said initially but equivalent with it.Something is moving only in relation to something else, and not in any absolute sense. That's a lot different than what you said initially. Can you see that? — fishfry
By determing in what context you view yourself. Relative to your couch, you're at rest, if you only take into consideration your couch & self, but relative to the galatic center, you're both in motion; yet, notice that the only way which you've determined that you're motionless, or in a state which is the opposite of motion, relative to the couch, is by not changing your place or position on it, thus inadvertently implying that motion, or a state which is the opposite of being motionless, is determined by the change of place/position. Thus you inadvertently grant my definition of motion.If I'm sitting on the couch, I'm motionless with respect to the couch, but moving at very high velocity relative to the galactic core.
So how can I know, using your criterion, whether I'm in motion? — fishfry
Uh, yes, it does, precisely because, although everything can be said to be in motion or changing place/position, everything isn't, in the same context, moving in the same direction, e.g., one thing can be said to be moving to the left of another & this other thing moving to the right of the former (or, depending on the context, vice versa); thus distinguishing between movements by direction.If everything is in motion, then your definition doesn't distinguish anything in the universe. — fishfry
Sure, I've also heard of physicists talk about something being infinite but bounded, yet, nevertheless, these are physicists who say such things, they're neither logicians or philosophers; if they were either the former or the latter, they would've taken the care to understand that the object which they're talking about, technically, isn't infinite.I'm not sure you are right. There are different types of infinities so an object might be infinite in some ways but not in others. I hear many physicists say that the universe can be infinite and bounded at the same time. There is Gabriel's Horn as well (something finite with an infinite surface area) — Gregory
As I see it, an "eternal instant" & "motion(s)," be it infinite or not, are incompatible ideas.if time is objectively an eternal instant and infinite motions hold together frozen in that instant, it seems to me the series would be geometrically infinite — Gregory
Socrates was accused of atheism. If he did not believe in the gods then he would have regarded the mystical prophecies as human inventions. — Fooloso4
He was actually accused of perverting the youth by teaching them or preaching them atheism. His own atheism was collateral damage. — god must be atheist
Well, there's your own rebuttal. For, on your view, this "substratum" exists independently, since "pre-existence" doesn't mean "non-existence" but solely existence before another; as, for example, my parents pre-existed me, yet that doesn't mean that they didn't exist before me, but contrariwise...., the substratum is independent of mind but it does not amount to existence, it pre-exists. — Nelson E Garcia
Yeah, that’s one way of looking at it; but I would describe it as challenging the knowledge of the reality of sense-organs, & not solely of their causality. So it does seem as if you’ve been thrown off, a little, by my manner of writing. So, to be sure, I’m not solely challenging the knowledge of the causality of the sense-organs but of their reality altogether.... it seemed that you were saying that you were challenging the causality of senses. — Jack Cummins
Yet, but note that the knowledge of these are themselves reducible to sensuous identities, i.e., sensations; & that therefore these can’t be the reality upon which sensations depend or are conditioned.Our knowledge that these are the senses is primarily our sensory experiences. — Jack Cummins
“Why,” as in a purpose? Surely one can explain “how” things are, without explaining why, or for what purpose, they are; & so I’ll skip over the question of why “we need to experience life in sensory terms at all?” & instead proceed to the question of “how” one could possibly raise your question, if sensory information is all there is? Seems as if the very possibility of raising this latter question would provide the answer to it. “How”? By the very same kind of way that we can intelligibly represent, in our question, that which exists other than in “sensory terms.”Of course, if I read beyond the surface of your logic we could be left with a new question in terms of why do we need to experience life in sensory terms at all? — Jack Cummins
Is this relevant? Either you accept (the premise of) the argument, my friend, or you don’t — i.e., what’s created by us can be altered or changed by us, if it can’t then it’s not.What era does your realidealism come from? — Mww
The point that metaphysical knowledge is based on form, & not the particular materials or matter of any empirical intuition, taking Kant’s “Copernican revolution” into account, still stands, precisely because everything which is contingently given to us in empirical intuition is conditioned by the form of our subject; so that any synthesis apriori holds good for all possible experiences &, therefore, isn’t limited to either a single subject or instance of empirical intuition. In other words, any synthetic apriori determination stands over & above every particular instance or state & holds good throughout all possible experiences. Hence, “meta”-physics... such sythetic apriori knowledge is “beyond” any particular empirical or physical state, & so its validity is independent of any one altogether.Sure, but Kant here has introduced a Copernican twist, as he says. Classical metaphysics has sought to find synthetic principles a priori about things. Kantian metaphysics dispenses with things and explains synthetic a priori principles as conditions of a priori knowledge. — David Mo
To take your example... the truth of this judgement is independent of any particular instance or state of an actual cat, as it holds good for all possible cats. Such that, even if there were no actual “cats,” it would still hold good because it’s applicable to all possible cats altogether; & so it would pertain to the judgement with hypothetical logical necessity — i.e., “If there’s a cat advancing with footsteps, then they would be feline.”"The cat was advancing with feline steps." The argument is rational. “All cats' footsteps are feline“ — David Mo
How so? Are you saying that mathematics can be something which is valid only aposteriori, such that it’s possible for its determinations to be valid in one instance of intuition & then change, & not be so, in another? If not, I fail to see, how is it not apriori, i.e., not independent of any one instance of intuition?The only thing that Kant did not justify is that mathematics or logic are absolutely a priori. — David Mo
On the basis of Kant’s claim that our knowledge is limited to the form of our subject, how can you know that the inconceivable isn’t the impossible? For you can’t transcend the form of your subject in order to determine that there are possibilities which violate what’s (logically) inconceivable to us. Thus you can’t know the truth of it; & your claim that the inconceivable isn’t the impossible simply takes the point for granted & begs the question. Either way, even if one is to grant this claim of yours, under Kantian principles, it would be wholly irrelevant; because we could never know of them, i.e., possibilities that are inconceivable, & they wouldn’t apply to us or our knowledge; as we’re limited to what we can know only under the form of our subject, which can never violate the principle of reason or logic, i.e., that of non-contradiction.The inconceivable is not the impossible. Kant demonstrated that the principles of logic are indissolubly associated with the forms of our intellect. — David Mo
Yet never so hard a time as to violate the principle of reason or logic, i.e., that of non-contradiction; & if otherwise were to be the case with an “artificial superintelligence,” in order to for us to know of this, it would have to enter through the form of our subject, which would then make it conform to the form of our subject, such that it couldn’t then violate the principle of reason or logic, i.e., that of non-contradiction.Any day an artificial superintelligence can give us a hard time. — David Mo
Let it be so... yet & still none of them violate the principle of non-contradiction. The self-referential “barber paradox” is no instance of this; for it obfuscates the modality of possibility. A barber who shaves all those who can’t shave themselves, misses that a barber can shave all those who’re capable of shaving themselves (which logically includes himself), even if he hasn’t or doesn’t.Modern formal logic contradicts him. There are other possible logics. — David Mo
You must bear in mind that all syntheses aren’t apriori, as synthesis can be aposteriori too; & the latter is what Kant had in mind when referencing either what’s empirical or dependent on experience. Hence, he states, “There are synthetic a posteriori judgements of EMPIRICAL origin, but there are also others which are certain a priori, and which spring from PURE UNDERSTANDING AND REASON.” Thus synthetic apriori truths are based on pure understanding & reason, not experience or what’s empirical. Therefore, in principle, metaphysics is purely formal (although the TOTALITY of our knowledge isn’t), & is independent of the material(s) of experience.Excuse me. If metaphysics were merely formal, it wouldn't be a scandal for Kant. The problem with it is that it pretends to be both pure and synthetic. I'm with Kant on this. The only synthetic source of reason is experience. — David Mo
Yet if it wasn’t, that is, wasn’t absolute, then it wouldn’t be rational. I’m going to further inquire about your claim here, in what I ask you in response to what I quote next of your post.Nowhere is it written that rational knowledge has to be absolute and synthetic. — David Mo
Can you give me an example of a logical principle that isn’t a pure formality, i.e., that isn’t independent of particular materials altogether?Logical principles are absolute as long as they are kept to pure formality. — David Mo
Right, unless we lose all real content; that is, unless we don’t refer to any of the materials of experience. In other words, unless we don’t refer to experience at all; hence, experience is inherently contingent & not absolute.What modern relativists (Feynman?) mean is that systemic reason cannot reach absolute truth unless it loses all real content. — David Mo
On the contrary, this is precisely my objection... assuming that a logical system can be, in principle, i.e., in regards to form & not the particular material(s) employed, constructed in a way which is different from how we can possibly form our own, is exactly to oppose the very principle upon which a logic or reason is conceivable; hence, such an assumption is inconceivable & therefore can’t even be thought, let alone assumed.There is nothing incongruous in assuming that a world with rational beings that organize their experience in another way could have a different logical system. — David Mo
Ironic, you deny the individual while presupposing it. Who’s this “one” who learns or has experiences, if not the individual person or subject?There one learns, or experiences — jgill
If possibility & impossibility, both in empirical & intellectual intuition, are determined by our agency, then why can’t their bounds be changed or altered by this very same determination of agency ours? Why can’t we then, either in empirical or intellectual intuition, change the fact of a square circle, or X = -X, being an impossibility, for example? I fail to see how possibilities & impossibilities are determined by us, when we work within their bounds & not versa, i.e., their bounds aren’t set by us.Possibility/impossibility is absolutely meaningless without relation to the agency to which they apply. Which means that which is possible/impossible, from the empirical and rational world alike, is determined by that agency, for that agency. — Mww
Right, exactly, the logical categories or pure concepts determine, as you’ve just said, “FOR US,” not vice versa; that is, we don’t determine or cause their bounds but are forced to work within them. This is exactly what I’m saying about rational or logical form.I refer you to the categories, for which you should have already taken account. The categories determine for us, not the possibilities/impossibilities the sensible world contains, but rather the possibility or impossibility of us cognizing what they are. — Mww
They don’t contradict each other because the apriori form of reason isn’t something that we’ve created aposteriori, or at all; in other words, we don’t have a say on how it imposes form onto things. So that’s what was meant, that our volition isn’t what creates the given materials of our aposteriori constructions; unlike a pegasus or a unicorn which it does, with such given materials, according to the form of reason.How do these propositions not contradict each other? — Mww
If the form of reason is taken as an axiom, rather than what’s both derived & presumed, from whence arises the circularity? As we’re not deriving the conclusion from any premise, & then subsequently using, in turn, the former to explain the latter (& so on cyclically).Correct, iff reason is a fundamental human condition, a metaphysical notion used in an attempt to logically thwart infinite regress.
Wherein lay the intrinsic circularity of the human rational system: we can only talk about reason using the very thing we’re talking about, and the very purpose of speculative epistemological philosophy is to not make it catastrophically fubar. — Mww
we are discussing is whether you can talk about science as rational knowledge
When Kant speaks of metaphysics he adds the term ‘pure’ reason because it claims to be the science of the a priori. But it does not occur to anyone to say that empirical science is not rational. It's just not pure.
From an etymological standpoint, in one way or another, “principle,” “law,” & “rule,” aren’t as different as you’re trying to make them seem, & they can be understood to coincide if one looks past nominal trifles.Not from where I sit. A law, to distinguish itself from a rule or a directive, adheres to the principle of necessity and universality. In that case, law presupposes the principle, whereas rules presuppose only the contingencies which justify them. It is absurd to think mathematics, and logic in general, is governed by mere rules.
Not in any way are we at a loss as to how we can experience mistaken identity, granted that the principle of reason is a reality; this is explainable in terms of the subject’s confused or erroneous knowledge, which is rationally distinguishable from clear or veritable knowledge. For example, an impersonator; one may think that they’re looking at the real Barack Obama, although they’re actually looking at an impersonator; which if only they knew all of the qualities constituting the real Obama, would reveal to them that they’re looking at an impersonator instead of the real Obama.If that is the case, we are at a loss as to how we can be mistaken in identifying an object, or, which is the same thing, not being able to identify some object at all. We are also at a loss to explain how it is we can be irrational, if reason adheres to the universality and absolute necessity of law.
Reason is lawful, that is, recognizable by its law or rule, in the same way the apriori forms of sensibility are; objects being subject to their invariant form. Thus reason is lawful because, like space or time, it determines things under a fixed law, rule or condition (which doesn’t change, like the objects that it subjects may).Object and precepts are determined by reason in accordance with a law, but reason is not itself lawful.
Reason itself IS THE LAW by which objects or percepts act lawfully.But I understand what you’re trying to say, in that reason, to be any real use to us, must act lawfully
Apriori, beauty is in the eye of the beholder. So I fail to see (no pun intended) how your example here is proof that rational or logical thought can form constructs which are in disagreement with itself? Since the disagreement of your example here pertains to AESTHETICS, rather than to logic or reason per se.Oh, but it can, and it does. It is the ground of all the differences in human thought: I think the Mona Lisa is an ugly broad because of the principles by which I judge beauty, you think the Mona Lisa is angelic because of....obviously....a different set of principles by which you judge beauty.
Reason no more attains or is assigned a form than space or time, as its character or form is what it is apriori & isn’t determined aposteriori, i.e., it’s not attained or assigned aposteriori or in time.Ok, fine. What form does reason have, that isn’t assigned to it by reason? How would reason attain its form?
Right, as I’ve said in my past replies, it’s the form or condition by which human thought is possible; it being something actual apriori (like the forms of sensibility are), through which the latter (thought) is possible.If reason has a form just because it inheres in human subjects, then it is no different than being a condition by which the reality of the human qua human rationality, is possible.
It should be noted that the way which I say that one “creates” in conception/abstraction is somewhat similar to how one would “create,” say, a clubhouse. In this way, the materials that are used to create aren’t themselves what are created, but they’re merely assembled, arranged, & joined in a way which they weren’t originally given. So, to be sure, I’m not saying that one’s concepts/abstracts create the materials that they utilize, but that one can create or form artificial objects of thought, such as a pegasus or unicorn, with materials which are already given.Fine. How? How does a concept alter, regardless of the actual reality of that to which they are applied? Bearing in mind a concept represents a thing or a possible thing. An impossible thing is, of course, inconceivable, that is, has no concepts belonging to it at all. The concept of “dog” (“unicorn”) presupposes the object (possible object) dog (unicorn), otherwise, to what does the concept relate? If the thing is presupposed, how in the hell can a concept create it?
Now, a thing can be altered, certainly. A dog with a bushy tail is one thing, a dog with a non-bushy tail in not that thing, merely from the different constituent concepts of “tail”. Obviously, if this is true, but if it is true because concepts themselves are the causality for the altering, then we must admit concepts think. Say wha?!?!?!?
Concepts don’t create, they facilitate and that which is facilitated, is understanding. So if you want to say concepts create understanding, I’ll let that slide, to wit: I can cognize what a unicorn would be, whether or not there is one, merely from the concepts my understanding says it must have in order to even be a unicorn. Understanding being nothing but a part of my reason, in the case of unicorns a priori; in the case of dogs, a posteriori.
Thanks, friend, I do appreciate the compliment.As for the rest.....you think idealistically, so kudos for that.
Again, since reason has an intrinsic form, it doesn’t need to go on to justify the bounds of its employment, for the bounds of its possible employment are self-evident in its form already; such that the only thing which needs to be justified is what’s maintained to be bounded in its actual employment, that is, whether such things are in accord or discord with it.Reason needs to justify the bounds of its proper employment
No, I didn’t suggest that reason can create contradictory domains. My point was that your claim that reason “... in and of itself doesn’t have a principle, but rather, constructs them” suggests that, since reason doesn’t have a principle of itself, i.e., a fundamental principle, it should then be able to create ones which contradict each other; for as it has no foundation in itself, there shouldn’t be a SINGLE principle which holds true in all of its constructs. Yet, since it can’t do such a thing, this proves that reason does of itself have a foundation, i.e., a fundamental principle, which pervades or holds true in all of its constructs — contrary to your claim about reason in & of itself.‘It’ being reason? So you suggest reason could create two mutually contradictory domains? Yeah...no. Not in its pursuit of knowledge as we understand it, and certainly not in the speculative epistemology I favor.
Contingent constructions of reason is possibility. It is irrational to suppose domains using principles for its rules, should operate on possibility, at the exclusion of necessity.
My point with the square circle goes back to showing that abstracts/concepts can only alter what they’ve created (like being able to alter the features of a pegasus or a unicorn); & if they can’t alter something, it’s precisely because they didn’t create it (such reasoning was to be applied to the principle or law of reason itself). Without sensations, abstracts/concepts couldn’t come to posses any shape, i.e., abstracts/concepts can’t of themselves purely intuit shapes (this admission is enough to satisfy my point). Now, the formation of a square circle can’t take place in any empirical intuition, such that the impossibility of which holds true in abstraction/conception as well & can’t be altered by it; this latter fact shows that abstraction/conception doesn’t determine or create what’s possible or impossible in empirical intuition, but it simply reflect them. So that the same is the case for the principle of reason; in other words, since what’s possible or impossible with reason can’t be determined or altered by abstraction/conception, i.e., abstraction/conception can’t form what’s contradictory, this goes to show that they’re not a creation of abstraction/conception, but it simply reflects them.A square meets these principles, a circle meets those principles, all constructed by reason a priori, which is sufficient for squared circle to be impossible, within the domain reason created: synthetic a priori cognitions.
“Redundancy,” “tautology,” ultimately end up meaning the same thing (this is a mere quibble with words), which is insignificance due to repetition. ‘Tautology’ literally means “repeating what has been said,” while ‘redundancy’ means, in the context of discourse, what’s useless, superfluous, or doesn’t add any meaning, because it’s been said before. Either way, you admit that your term (“rational reasoning”) is redundant, right, &, so, useless? This was basically my point; modifying the term “reasoning” with the adjective of “rational” is insignificant, for the former term is already qualified as such &, therefore, cannot be otherwise without invalidating the usage of the word altogether.It's not a tautology, it's a redundancy. To say ‘rational reasoning’ is a redundancy
Yet my original point was that one can’t make an argument against reason, in general, without already presupposing its validity; such that their argument would be inherently self-defeating.... because every argument we want to make for or against something will use reason in one way or another.
Yet in my view, it is a method, or rather the principle of a method, for justification, namely that which is analyzed apriori; although when experience is concerned, such as the particular aposteriori cause of a pandemic, reason is insufficient, & we must have recourse to observation or perception for obtaining what’s true.Reason is not a method of justifying anything. It is not the method of proving that the current pandemic is caused by a virus.
Sure, their contemporary rendering may be alien to his terminology, but the etymological root of both of them, i.e., “logos,” definitely isn’t; which denotes (what in English means) “reason, idea, word.” So this proves my point that a distinction between them is ultimately flawed, because the root of “reason,” which is the Latin “ratio,” derives from the Greek “logos”; & therefore these terms originally have one and the same thing, so that a distinction between them is inadmissible.Aristotle does not distinguish between logic and reason because these two terms are alien to his terminology.
Only in colloquial terms can the method of ‘science’ be called “rational,” as its mode of investigation isn’t apriori but aposteriori. Here “rational” can only simply or casually mean something like “prudent” or “judicious.” To call the method of science “rational,” in the formal sense, is a misnomer.As scientific methods have proved very effective in similar cases. And we call those methods and other similar ways of thinking rational or ‘reason’ for short.
“Reason,” in the original or truest sense of the word, is in no way equivalent with the sciences (as was stated, in my previous paragraph, about the term “rational” [i.e., that which pertains to ‘reason’]), if we understand that etymologically it means “to reckon, think.” Thus science, either currently or in the past, can’t be equated with “reason” or what’s “rational,” since it’s not based purely on reckoning or thought (this would be an awful mischaracterization of it).... he does distinguish between the study of the forms of argumentation and categorization (which would be roughly equivalent to today's logic) and the sciences (which would be equivalent to today's reason).
This misses that statements themselves are made up of components, which aren’t themselves statements; hence, in the “Categories,” Aristotle asserts, “None of these terms (‘substance’ or ‘quantity’ or ‘quality’ or ‘relationship’ or ‘the doing of something’ or ‘the undergoing of something’) is used on its own in any statement, but it is through their combination with one another that statement COMES INTO BEING.” Now these components are what any statement, let alone the passage of one statement to another, depend on to come about (as was just noted); & the being of these components themselves are subject to a certain principle, without which they couldn’t be formed. This principle is the primary principle of logic or reason, in general, & not only a rule on how to pass from one statement to another; for, again, it’s what allows for the possibility of an initial statement, as to the components of a statement, in the first place.Logic is therefore a method of deduction that allows us to move from premises to conclusions, from some statements to others. You can call that a method of ‘formation’ of statements, but not hide that this formation is a deductive procedure of passing from some statements to others.
Try to distinguish between different types of logic without having recourse to their different objects of consideration; the inability to do so will show that logic itself isn’t distinguishable, but only the objects to which it’s applied are. Aristotle even states this about science; that is, science doesn’t differ in general, the various types of science only being distinguished by their particular objects of consideration: “But all these sciences have marked out for themselves some particular thing that is, some particular class of objects, and concern themselves with that.” (“Metaphysics, Book IV)“Therefore, to say that there is ‘one’ logic (please, note this ‘one’) is an abstraction that we use in ordinary language to talk about or group the different logics. A logician will always specify the branch of logic in which he works.”
Yet if “today’s reason” isn’t equivalent with the sciences, or experience, as by their etymological definition “reason” & “experience” can’t be synonymous, I fail to see how you’ve distinguished between logic & reason, except by having “reason” to mean “experience,” i.e., except by a word-game? & if we don’t allow reason to mean experience (the latter being what the sciences are derived from), how then are logic & reason different? Well, if we don’t allow this linguistic exception, then it’s evident that they aren’t.I follow the current philosophy that makes a clear distinction between logic and reason, considering logic a part or instrument of rational procedures of thinking. Simply put, the concept of reason is broader than that of logic.