Comments

  • How can one know the ultimate truth about reality?
    Then he’s already shot himself in the foot, insofar as the uncondition-ed is beyond human reason, and the uncondition-al is itself a rather suspicious conception.Mww

    An unconditional good would be a good that was good in itself—a good that relied on no other conditions to establish its goodness. Perhaps it could also be referred to as an unconditioned good. I don't believe there is anything either unconditional or unconditioned—the very ideas seem incoherent—or at least I can make no sense of them beyond being able to say what I said in the first two sentences.

    Better he propose a claim that there is that which is conditioned by good alone, which makes good a quality under which the conceptual object of the claim is subsumed, rather than the condition of that conceptual object’s possibility. Thereby, he is justified in claiming that in which resides good as its sole quality, serves as the singular necessary condition for that which follows from it.Mww

    I am not sure I'm grasping what you want to say here. If something could be conditioned by the good alone, would that not entail that the good could not be conditioned by any further thing? Would that not lead us directly back to the idea of an unconditional, unconditioned good?

    That there is that in which resides good as a sole quality is a claim restricted to mere opinion, yes, but the justification for that which follows from it, in the form of pure speculative metaphysics, can be logically demonstrated as a prescriptive practice, which is not mere opinion.Mww

    While that which is claimed to be good in itself is mere opinion, it can still be the case that whatever follows from it, iff logically consistent hence irrational to deny, that the ground for the claim is the subsequent affirmative justifications given from it.Mww

    So the premise that there could be a pure, unconditioned good is a claim restricted to opinion, but if that opinion be granted the logical entailments that follow from it are not? If that is what you meanI would say that is true of any premise, however unsound.

    But, as in any speculative domain, it’s off to the rodeo, and the commoners get lost in the minutia paving the way.Mww

    So, it would seem!



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  • Mathematical platonism
    Right but then if it's plain old oddness that you want to talk about, I'd say that Mathematical Platonism in general is far more odd than Mathematical Fictionalism. It is less odd to say "infinitesimals are just fictions, which means that they are a series of brain processes" than to say "infinitesimals exist in some sense in the external world, structuring reality itself from outside of spacetime itself in some mysterious way that is incomprehensible to modern science."Arcane Sandwich

    As I said earlier: "If the infinitely many integers are understood to be merely potential as a logical consequence of a conceptual operation—in this case iteration—and are not considered to be actually existent, then the need for a Platonic 'realm' disappears."

    How much lerss would we need to think of infinitesimals as actual existents, and how incoherent is the idea of an actual existent being "outside of spacetime itself in some mysterious way that is incomprehensible to modern science" ?

    The problem I have with some platonists is that they want to say that the forms are real, but not existent, and the idea of a "realm" is an incoherent reification, but they cannot say how the forms (or numbers) could be real in any sense other than the merely logical or the empirical.
  • Mathematical platonism
    Not perplexity, just plain old oddness. I'm not suggesting anything about essences; I think the very idea is problematic. Identity is just an idea. The odd thing is that the "in itself' the very thing which is conceived as having no identity or identifiability for us, is an expression couched in terms of identity.
  • Mathematical platonism
    The odd thing about the idea of "in itself" is that it is saying "in its identity". Identity suggests integrity. When we eat the oyster, it is broken down, loses its integrity, and thus loses its identity. Once eaten it is "in us" now a part of our identity. We cannot eat the oyster's identity, because the act of eating progressively destroys it—in eating the oyster we do not digest the oyster's identity, but its brokenness.
  • Mathematical platonism
    I agree with the conclusion of that argument, really. We cannot eat oysters as they are in themselves. That is true. I only wish the premises were true as well.Arcane Sandwich

    Because once eaten they are no longer "in themselves" but in us?
  • Mathematical platonism
    UNEBanno

    Is that University of New England?
  • p and "I think p"
    3. The “I think” is not experienced at all. It is a condition of thought, a form of thought, in the same way that space and time are conditions of cognition. Self-consciousness, in Rödl’s sense, is built in to every thought, but not as a content that must be experienced.

    4. If your report is accurate, then the thesis that “the ‛I think’ accompanies all our thoughts” has been proven wrong.
    J

    3. seems to be a post hoc judgement. Of course every thought is thought by me, because they are my thoughts, right? But what am I? It's like the cogito: I think therefore I exist—and further— I exist in every thought. But 'I' is really just another thought, even if some would like to paint it as the transcendental master thought if not as some substantive entity.

    4. is right because there is no clear sense in which the so-called "I think" could be present in or inherent in every thought.
  • Mathematical platonism
    But the question of the OP literally asks if they exist in a "Platonistic" (sic) Platonic way.Arcane Sandwich

    If the infinitely many integers are understood to be merely potential as a logical consequence of a conceptual operation—in this case iteration—and are not considered to be actually existent, then the need for a Platonic 'realm' disappears.
  • Mathematical platonism
    Salient bit is that it's not a pretence that there is no largest integer, it's just what we do with integers.Banno
    I agree it's not a pretence, it's a logical entailment.

    I don't know, maybe. But if so, then you're no longer doing mathematics, you're doing something else.Arcane Sandwich

    What we are doing here is not mathematics but philosophy of mathematics. So, all I'm saying is that I think what I outlined is the best way to understand the situation regarding what is a given in mathematics—that there are infinitely many integers.
  • Mathematical platonism
    We pretend that there are infinitely many integers even though we can think of only finitely many of them - and this because we assign the set of all integers definite properties, such as that of being included in the set of rational numbers. — Bunge, Ontology II: A World Of Systems, page 169)

    We don't pretend that there are infinitely many integers, because there are infinitely many integers. That's how integers work. And they work that way not just in this or that mind, but as an activity performed by our community.Banno

    The solution to this is to say that there are potentially infinitely many integers. Once the logic of iteration is in place, there are potentially infinitely many integers just because there is no inherent logical limit to iteration.
  • The Blind Spot of Science and the Neglect of Lived Experience
    This was made unavoidably obvious by the observer or measurement problem in quantum physics. Although that is a special case of a far wider issue, which is also a subject in philosophy of science.Wayfarer

    Firstly, in QM the so-called "observer problem" is not recognized uncontroversially as entailing that human consciousness is paradigmatically the observer.
    Secondly, it is not at all controversial that science begins with observation. How else could it possibly begin? Seems like clutching at straws.
  • How can one know the ultimate truth about reality?
    If anything is said to be good, we can always ask on what grounds is it deemed to be good. If someone claims there is an unconditional good, then you might ask "can that be more than a mere opinion?" or "what grounds do you have for claiming that there is an unconditional good?"
  • Mathematical platonism
    Are you saying divisibility cannot be "divided up" and/or sets displaying "evenness" cannot be divided up? For example, the set of even numbers can be divided up into those even numbers having exactly two 2s.jgill

    I'm not sure what led you to think I was saying anything like that. It seems to me that arithmetic has its genesis in playing around with groups of actual things and inducing the basic concepts of adding dividing, subtracting and multiplying. Once we have generalized and abstracted those notions and represented them symbolically and formulated the rules that govern them, then all of the elaboraqtions of mathematics become possible.,

    In my opinion none of math exists in some Platonic realm independent of human brains. These are ideas, not physical objects.jgill

    Totally agree.

    The irony in all this is that I sort of am a fan of hierarchical notions of "being," if by hierarchy we just mean structure or grounding. My idea, not to belabor it to death, is that we'll do a better job by dropping the word "being" to the extent that we can.J

    I also am fine with the notion of hierarchy in the sense of structure or grounding—I just reject the spiritualist notion of degrees of being—you know, the idea that humans are at a higher degree of being than animals, and angels at a higher degree of being than humans, and so on. The "great chain of being" idea I reject.

    For me the word 'being' just means, if taken as a noun 'existent' or 'existence' and if taken as a verb, 'existing'.

    I'm sorry, I can't resist a good typo. Yes, I too find small numbers to be prim, even reticent. But then there's π, which is small but goes on and on forever .J

    :lol: Nice!

    :up: I like the article, since it is saying just what I have been. It's the middle ground between Platonism and nominalism.

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  • How can one know the ultimate truth about reality?
    I wasn't equating the 'elements' of the verses with the five elements. I never had that in mind at all.
  • Mathematical platonism
    I'm not saying mathematical proofs are empirical. Divisibility, and thus oddness, evenness and the primeness of small numbers can be directly observed in the ways groups of things can and cannot be divided up. From there abstract rules are formulated. Remember, calculations used to be done on an abacus.
  • Mathematical platonism
    Not deduced. it is induced by what is discovered in what is observed.
  • Mathematical platonism
    . Does it make more sense -- is it more conducive to good thinking -- to speak of "justice" or "instances of justice"? A good question! "Do rocks exist in a superior way to justice?" Not a good question!J

    Right, I wasn't asking the second question. I don't think in terms of superior ways of existence—I am not a fan of hierarchical notions of being.

    Rocks and justice exist in different ways—rocks are spatiotemproally existent and justice like goodness is conceptually existent. So, depending on circumstance you could have good and bad rocks—if you are trying to build a certain kind of ashlar wall, for example.

    If numbers are just abstractions, how do you distinguish "3" from "The second even prime". The first "exists", the second doesn't. What distinguishes these two abstractions?

    Second, how do you account for numeric laws? If numbers were all in the head, how are laws discovered that were most certainly not in anyone's head until they were discovered?
    hypericin

    Primeness, evenness and oddness can be observed in the ways that groups of objects can and cannort be divided up.
  • How can one know the ultimate truth about reality?
    Then what did you want to refer to by 'elements'?Arcane Sandwich

    Man, Earth, Heaven, Tao and Nature—the five 'elements' of the verse.

    Politely, kindly, genuinely, candidly, honestly, I ask you: who is to be faulted, for your lack of sureness (or degree of certainty) in where I am going with the rest of my post?Arcane Sandwich

    I don't know. Must it be somebody's fault?
  • How can one know the ultimate truth about reality?
    In Wuxing (Chinese philosophy), there are five elements: Fire, Water, Wood, Metal, and Earth.Arcane Sandwich

    Right I was aware of that, but it wasn't what I wanted to refer to by 'elements' and nor did I want to draw any analogy.

    Not sure where you are going with rest of your post.
  • How can one know the ultimate truth about reality?
    Of course you're right. There are five 'elements'. I guess the difference I see is that there is no difference between any of those and thus to follow any one is really to follow all the others. And that seems to follow from the way the text is set out, too: to follow Man is to follow Earth, to follow Earth is to follow Heaven, to follow Heaven if to follow Tao and to follow Tao is to follow Nature. Perhaps we could continue: to follow Nature is to follow Man.........

    I do understand the Tao and nature as being the most general or universal or overarching, though. Still, I nonetheless can't see the way (Tao) as something different from nature or the way of nature as different from nature. Maybe it's a pedantic point. I am no Dao De Ching scholar and i can only guess at the intentions of the author.
  • How can one know the ultimate truth about reality?
    OK, as I understand Hegel the idea is that consciousness evolves according to a dialectic which is so rationally or logically constrained that it serves as a kind of telos. I never understood the logic of his idea of the end of history and the advent of absolute knowledge, though, since I see the process of the evolution of understanding as having no end in both senses: as not having a final goal and as never being finished.
  • Mathematical platonism
    I always aim to be charitable towards others' interpretations. But no matter how comprehensive explanations are from both sides the possibility of diagreement remians. Doesn't mean one is right and the other wrong of course.

    Language is not a thoroughbred, though, but a mongrel.
    — Janus

    Ok... Can you explain that?
    Arcane Sandwich

    I mean language usage has evolved not in an ordered and planned (selective breeding) way, but in an ad hoc (free for all mating) manner.
  • Mathematical platonism
    Yes, if I thought there was a hope of ever settling it. But using the "existence" terminology to do so just doesn't seem to get anywhere. Instead, let's talk about the ways that rocks show up in our lives, and what we can say about them -- also the ways that justice shows up in our lives, and what we can say about that -- and whether there might be various grounding relations obtaining between physical things and values -- but do it all without trying to award the Grand Prize of Existence to anything.J

    Is it justice that shows up or merely actions that are deemed to be just or not? It is common parlance to speak of injustices, but we don't generally speak of justices, which is itself a little strange, and speaks to the inconsistency of language usages.

    In any case instances of both justice and injustice do appear, and that seems somewhat disanalogous with rocks since we don't speak of instances of rock showing up. Language is not a thoroughbred, though, but a mongrel.

    I'm comfortable with saying that rocks exist and that ideas and instances of justice exist.
  • How can one know the ultimate truth about reality?
    The third premise is that one follows the Tao if one follows heaven. The fourth premise is that if the Tao follows what is natural then one follows what is natural. This all seems to me to suggest non-duality. Man, The Earth, Heaven, the Tao and nature are all one, so I can't see how saying one follows something that is not the Tao follows from saying that one follows what is natural.

    Are you suggesting that what is natural is over and above and something thus different than the Tao (and by implication over and above and different from Man, the Earth and Heaven?
  • How can one know the ultimate truth about reality?
    Ok, do you have a moment, then? I could explain it to you, but it's just my point of view. It has errors, I'm sure of it. But it's not without merit, if I may say such a thing.Arcane Sandwich

    I'd be happy to get some more explanation. We all have different points of view, and all with some merit, no doubt.
  • How can one know the ultimate truth about reality?
    I still don't know what you are talking about.
  • How can one know the ultimate truth about reality?
    It was not an "appeal to the stone" I simply don't understand what you are trying to say by translating the verse into propositional logic.
  • How can one know the ultimate truth about reality?
    Thanks, but the translation into propositional logic made no sense to me. I understand the way of the Tao to be the way of nature, pure and simple.
  • How can one know the ultimate truth about reality?
    So, if you "believe" in the Tao, you must, at the very least on logical grounds (to say nothing of moral grounds) follow what is natural, instead of following the Tao, because the Tao itself follows what is natural.Arcane Sandwich

    I have never read it that way. "Tao (the way) follows what is natural" means the way is just natural, in other words nothing over and above nature itself. So it is not following the natural "instead of following the Tao".
  • How can one know the ultimate truth about reality?
    – ergo reality is necessarily more-than-subjective.180 Proof

    :up: Right there must be something we subjects are being subjected to.

    Which is why, if someone were to prove that the evil demon argument leads to a contradiction, then such a person would have also demonstrated that it is not possible to doubt logic. And whoever demonstrates that, deserves the Fields medal. Well, maybe I'm being too extreme in my judgement, but it would certainly be a monumental achievement to prove that logic cannot be doubted.Arcane Sandwich

    The only thing going for the 'evil demon' is that he is not a logical contradiction. Just as it is impossible to prove the existence of anything by logic alone, so it is also impossible to logically prove the non-existence of anything.

    If we attempted to doubt logic, what would we be using but logic? Logic is merely a formal procedure. There is no reason to entertain the idea of the evil demon or the brain in a vat or the flying teacup at the other end of the universe. They are all logical possibilities, though.
  • Mathematical platonism
    If there are no perfect circles in nature, then I guess Pi does not exist out there as an actual ratio—I mean it is an idealised ratio. Maybe the same for infinitesimals and the square roots of negative numbers, even negative numbers themselves as well as imaginary numbers.

    I don't know—I could be talking shit.
  • Mathematical platonism
    Are they "out there", like apples and trees are? That's the actual "existence debate",Arcane Sandwich

    "Apples and trees"—a number of apples and trees—how many? So of course, number is out there if apples and trees are. So, number is out there—are numbers out there? That's a different question, no? Is 5 out there over and above all the collections of five objects? Is 5 out there in the sense that digits and numerals are—as written or spken?
  • The Mind-Created World
    I didn't mean those conditions specifically. I just used them as things that are sometimes very different from one person to another. You and I are not always simply interpreting things differently.Patterner

    We have much in common physiologically speaking. I seems to me that the greatest divergence consists in the ways we each interpret the general nature of experience.
  • The Blind Spot of Science and the Neglect of Lived Experience
    As you mention Wittgenstein you might be interested in this snippet:Wayfarer

    Quite in keeping with the theme of the original post, I would have thought.Wayfarer

    I'm not seeing the relevance.

    The self, as Wittgenstein understands it here, is a metaphysical subject, not a physical or psychological entity. This self is the necessary precondition for the world to appear but is not itself a part of the world.Wayfarer

    If you are going to cite, I'd suggest you would do better to cite the original source.

    Anyway, I'll leave you to your interminable search for authority.
  • The Blind Spot of Science and the Neglect of Lived Experience
    You're trying to sell them, but their poor quality ensures that only the addicted are buying.
  • The Blind Spot of Science and the Neglect of Lived Experience
    What do you make of that?Arcane Sandwich

    The agnostic part makes sense. As someone with materialist leanings I acknowledge that I cannot be absolutely sure that idealism is not the case; that there is not a cosmic consciousness that holds every little invariant detail that we experience in place. Idealism just seems to me the less plausible of the options. But it is a part of intellectual integrity to admit the defeasible nature of all our theories, even scientific theories.

    I don't buy the kinds of arguments like @Wayfarer makes; that we cannot coherently speak of things existing in the absence of percipients. I think such arguments are tendentious at best and profoundly mistaken at worst. I agree with Meillassoux that correlationism is incompatible with the conceptual coherence of thought about the Arche fossil, which is to say it undermines the coherence of paleontology and cosmology.

    It's a long time since I read After Finitude, though. so it seems a bit vague to me now, and I never got the idea of the necessity of contingency.
  • The Mind-Created World
    This isn't the first time our conversation has made me think of things like aphantasia and anaduralia. I don't know which of us lacks this or that ability that the other has, but we experience life very differently.Patterner

    I don't think it has anything to do with those conditions. It's just different interpretations is all.
  • The Blind Spot of Science and the Neglect of Lived Experience
    My point in that other thread is simply that it is meaningless to say that of anything that it exists outside of or independently of any perspective, which I don’t think your patiently-explained butterfly effect (forgive the conceit) actually addresses. Outside any perspective, there is….well, you can’t say. That’s the point, and it’s a simple one.Wayfarer

    It's a simplistic point, not a simple one. We can perfectly coherently say that things existed before human beings existed and will exist after they are extinct. You can say that we can't know what that existence is, because all we know of things existing is via perception, but that would be to conflate our knowing something to exist with its actual existence.

    You can stipulate something like 'to exist is to stand out for a percipient' and of course on that definition nothing can exist absent percipients, which is basically what you are doing insisting: on your stipulated definition being the only "true" one. But that is a trivial tautology, and it is also not in accordance with the common usage of 'exist'. So, in Wittgenstein's terms, you are taking language on holiday.
  • The Blind Spot of Science and the Neglect of Lived Experience
    Why would you think that it would be exempt?Metaphysician Undercover

    Exempt from what?

    This is in stark contrast to the attempt to hide the subjective influence which results from the aforementioned attitudinal illness.Metaphysician Undercover

    I doubt anyone with a sensible attitude wants to deny that science relies on the senses or that perception is conceptually mediated or that scientists, being human, may have their biases. What else do you think the "subjective influence" consists in?