In my view this is implausible. — ChrisH

Why?

It's OK. The general notion is that not only is Abraham under consideration, but the very same act of Abraham is under consideration -- so you could say that this is the same aspect of Abraham. Silentio never resolves the conflict, but goes back and forth between judging Abraham a moral monster or a knight of a faith and seems to hold both beliefs simultaneously.

Now, I don't think we have to be quite as intense as Kierkegaard makes his namesake in our own attachments -- it was just something that came to mind that demonstrates how we can feel seemingly opposing emotions towards the very same thing.

Have you ever had the (dis)pleasure of reading Fear and Trembling?

Silentio's account of the knight of faith and Abraham comes pretty close to a plausible account that is far better than anything I've cooked up.

I suspect that I'm not quite in the culture you describe, just to be up front about that. Or perhaps I'm like an adopted son who still has memories of another family -- so I'm just trying to wrap my mind around the difficulty that perhaps I do not quite feel, but trying to remain sensitive to too.

Here's something about that though -- perhaps your culture is not the only culture that sees itself as a culture. There is a kind of thought that I think I can empathize with in that there are people who don't see their own culture. But I think I'd posit that this is the case in all cultures -- that there are people who don't have a kind of self-awareness of their milieu, and there are people who do have that self-awareness. As early as Herodotus we have people who began to recognize that mores are relative to one's culture. Not everyone, and not even on the whole given what evidence we have ,but it was not unheard of either.

The real horn of your dilemma comes from not just recognizing oneself as a culture, but as you put it wanting both weak cultural relativism and rejecting radical cultural relativism and nihilism. Perhaps this conflict couldn't come about without an awareness of oneself as culturally conditioned, though, so perhaps that aspect is distinctive to your culture -- in that there are more people who are reflexively aware of themselves as inhabiting a culture.

What if what is good for us is not what is good for them? In which case we are not radical relativists, but perhaps our absolute moral propositions are context-sensitive.

The point here, to get back to the OP, is that moral realism is appealing because it explains why it is we can feel desire for something while simultaneously thinking that something is morally wrong. If there is a fact to the matter, if our feelings don't dictate right and wrong but only direct our actions, then it makes sense to say that I like such-and-such but I believe that it is wrong.

. I said that it doesn't make sense to not dislike x but to feel that x is immoral where we're not equivocating. — Terrapin Station

Is "not disliking" different from "Liking"? The double negative confuses me. I'd say it's quite possible to like something you believe is immoral. Not sure about "not disliking".

When you divide up a referent into its aspects I'd say that doesn't quite get at the structure of desire very well. Our desires are often in conflict. Saying "I love and hate such and such" makes more sense than to say "I like this part of such and such and hate this part of such and such" -- not because of the logic, but because these two sentences don't say the very same thing and the first sentence references a real phenomena -- a love-hate relationship. It's the sort of relationship where you simultaneously feel conflicting emotions about so and so or such and such, and isn't about dividing up someone or something into various aspects.

Temptation is similar to a love-hate relationship, except that there is a moral dimension whereas that is not necessarily the case with a love-hate relationship. Isn't this why the moralists among us are actually more driven to stamp out the things they find morally disgusting? Because they also feel called by them?

Not always, but certainly some of the time.

@ChrisH -- this is still farily general, but more specific. Does this help?

For example, you might have temptation to eat a piece of cake. You like the taste, you'd love eating it, but you don't like the calories (maybe you're trying to lose weight), the health issues (maybe you're worried about or you have diabetes), etc. — Terrapin Station

That is a pretty light form of temptation, I'd say. Plus it's quite rational.

Substance abuse comes closer to what I have in mind, or strong beliefs about sexual mores. These aren't exactly rational attachments, and so desires can compete and be at odds with one another with respect to the very same object.

Let's try a positive formulation.

I'd say it is possible to desire X, and to desire the abolition of X. One can be simultaneously attracted to and repulsed by the same object of desire -- this is because allure and repulsion are separate emotions and gets around the logical possibility of "X ^ ~X"

Is the paradox that yours is a culture which allows nativism in other cultures in the name of diversity, but disallows nativism with respect to itself?

I'm just trying to restate what you're getting at succinctly and clearly.

What's the difference? I'd say that this is exactly what temptation looks like -- to object to something yet want it.

I'd say that your statement makes sense. Isn't this the structure of temptation? To like something which one objects to?

Who gets to speak for the fetus in that case? And that was the point I am making, are you 100% sure it deserves no moral standing in the discussion? — Rank Amateur

The mother does. In some ideal sense I'd say the father too, but it's too idealistic to the practical realities of birth and who shoulders the costs of birth.

It's not that the fetus has no moral standing -- it's that the mother is the one in the best position to make that judgment, more than any other person, and in terms of universal prescriptions at least, the mother's worth is infinitely greater than what is effectively an organ.

Worthless? Surely not. But by my estimation the mother is clearly a person, and the fetus clearly is not, so there isn't really any basis of comparison.

I think that some moral considerations are not black and white, and that abortion is the sort of action that falls in that category. The best way to proceed, in such cases, is to allow people to make the decision on their own because the complexity of the situation is too great for a universal prescriptive rule.

Some actions are just straightforwardly wrong, and it would be inappropriate to have that much permissiveness in those cases -- like murder or slavery.

But abortion is not clear cut. I think that mostly stems from the fact that there are multiple things we care about in conflict with one another, plus the (relatively recent) history of equating abortion to murder to intensify those emotions.

Agree, and in the actual argument marquis address it. But the argument is not about any future, it is about a future, like ours. — Rank Amateur

Marquis did, but I think his argument is a bit different from yours. At least if we're thinking of the same paper that he's famous for. Maybe he's made modifications that I'm unaware of.

I was wondering how your argument might deal with this.

I have addressed this issue in the argument, and it is about non-justified killing. Hopping not to run off into a side argument, I ask we don't spend time arguing what is or is not justified. — Rank Amateur

Sure, that's fine. I was mostly supplying this to say that my theory is able to match yours, since you claimed that one of the benefits of the FOV argument is its ability to account for why murder is wrong -- so I was just displaying that personhood can also function like this. We don't need to get into what I agree would be tangential about which is better at representing the ethics of killing.

The entire purpose of the FOV argument is to avoid the personhood issue.

In short form it is quite simple and intuitively true.

Despite the coffee shop philosophy, we - people like you and me have a future that we value.
A significant harm of killing us is the loss of that future — Rank Amateur

I don't think I quite see how it avoids the personhood issue, though. That's at least my failing in reading you. If it does I'm not understanding how it does so -- when I read you saying "people like you and me have a future that we value" and "A significant harm of killing us is the loss of that future" I cannot help but think -- well, yes, people like you and me do value our future. This is true.

And then wonder how we count "People like you and me" -- and that's where it seems to me personhood is assumed by yourself, or I'm just not understanding what it is about the future that is not personhood that makes it valuable.

Now the biology

About 2 weeks after conception there is a unique human organism

You, me and every human on the planet can directly trace our existence in time and space as a biological entity to such a unique organism that could only have been us.

What you moliere are living right now was the future of that one unique organism at one time.

The argument is it is wrong to unjustifiably deny a human future of value, like ours at anytime in our unique development

The argument is based mostly on pure biology, one inference that futures such as ours are valuable, and an application of ideal desire to the fetus

The argument has holes, mostly around the issue of ideal desire. But it had lasted 30 years because to a very high degree the premise is true and the logic is sound.

I think it's just the best contender in town that at least claims to not rely upon theological premises, so it lasts because there is nothing else. But that's just me :D

The thing that I always find ironic in these discussions is how so many folks, who value science so greatly in the theist, atheist discussions abandoned it in a heart beat in the personhood issue.

And the same folks how value reason so greatly in the theist,atheist discussions, are willing all kinds of twists of reason when it comes to the personhood issue, as below

Hrrmmm? Have we talked about a/theism and science before? I honestly don't remember.

FWIW, I try to be consistent. Obviously I fail at times.

The fetus is not a person because it does not have trait X
But there are all kinds of things we are happy to call persons that don't have trait X

Ok, let me modify trait X so it only applies to a fetus

Which just make the argument a fetus is not a person because the fetus is not a person

As your, it is not sentience, it is the history of sentience that is important, There is only one kind of human without a history of sentience, a fetus at some stage. Take out all the parts in the middle and your point is just a fetus is not a person because it’s a fetus

So for yourself it seems like a shell game ,basically. If you come up with one thing that's wrong, then there's something else to put forward. So it seems like the conclusion is just assumed to be true, and the premises are ad hoc, more or less, and so not really a principle worth considering.

I don't think that personhood has a singular trait. It's a morass of traits. And, for whatever it happens to be worth, it was only after reading up on the philosophy of abortion that I believed as I do now -- I used to be more pro-life.

Not that this is to persuade you, or anything, but I'm just letting you know where I am at. I don't think I'm playing a shell game -- so at least I am not doing so intentionally.

Yes! That's exactly what I'm saying -- personhood is not a metaphysical category (though if we are cognitivists then we should supply some criteria by which to make a judgment), but an ethical one.

Technically I wouldn't say a newlyborn has all the qualities of a person, but in the interest of laying down a line that is on the safe side I say birth is a good point because at least at that point there is a separate body.

I just quote this below because I think we've come to a terminus on the other subjects.

What? It's very relevant for anyone who considers personhood to be the key determining factor with regards to value and morality in relation to abortion. Quite a few people here have made it clear that that's what they consider, yourself included it seems. — S

How so?

It seems to me the question of personhood is just when something is considered worthy of such and such a consideration. One could frame this cognitively or non-cognitively, though, so whether our meta-ethical stance is one or the other doesn't seem to bare on the normative question. So if we are non-cognitivists about persons then there would be no real rule, but rather an emotive state, which decides when we treat such and such as a person, whereas if we are cognitivists then we'd set out some criteria to assist in judging this that or the other.

Or if we are somewhere in-between, which I think I'd say I am, then we'd say that our emotions are clearly a determining factor in which rules we follow, but rules are the means by which we discuss moral matters and consider them for revision or change --so you'd have both.

Further, we could frame things in terms of actions instead of in terms of personhood -- so the values we are thinking of are the acts one chooses. But whether we be cognitivists or non-cognitivists on the matter we can make an argument both ways.

It's just the way that I feel. I could try to put into words why I feel that way, but I can't explain it beyond it's emotional foundation. — S

Cool.

That's understandable to some extent. As you know, I haven't posited an equivalence in value. I'm just saying that, the way I judge it, it's valuable enough to warrant, at the very least, more than a careless disregard, as though it's nothing or just some kind of biological waste matter that we can simply dispose of without a second thought. — S

I think we'd actually agree here in all except for where you say "to some extent". For myself it seems foolish to compare the worth of a person to anything else, hence why I say its infinite -- it's not something that's really quantifiable or qualifiable. It's more like a beginning for ethical thinking. So there is no extent about it.

But, yes, I don't think careless disregard is the quite right attitude either. For instance I don't think it would be morally permissable to impregnate yourself in order to sell a developed fetus for stem-cell research. Legally, by my lights, sure -- since I don't think the law and morality are one -- but I'd put that pretty squarely in the "wrong" category as having no respect for human life.

And I don't view an acorn as an oak tree. I wish that people would get out of that mindset. But the value of an acorn obviously relates to the value of an oak tree, even if they're not of equal value, and even if there's quite a difference between them. The crazy thing that some of the people in this discussion seem to be neglecting to properly consider is that, all things being equal, a planted acorn grows into an oak tree. Imagine if someone judged oak trees to be of infinite value, yet, being ignorant and failing to see the value in acorns, when given one, they just throw it out of the window into their garden. Then imagine that they move out and don't return until fifty years later. They look out of their window, and to their surprise, there's an infinitely valuable oak tree! "How did that get there?", they wonder. After it had been explained to them, don't you think that they would think that they had misjudged the value of acorns? — S

Sure, I'd agree with this.

This rules-based approach allows for the cutting out of subjectivity. "If we follow this rule, then it's not of value, so there's nothing to worry about". — S

Heh. I don't want to get too sidetracked -- put this aside for another discussion? It seems to me that it's a bit tangential.

I wouldn't say that it's a grey area. I would judge it on a case-by-case basis, and I would say that some cases are more clearcut than others. — S

Okie dokie. Well, at least you can understand what I'm saying, I think. I judge it to basically fall squarely in the middle insofar as we're talking about prior to birth -- to myself, it's the sort of thing that one has to weigh and judge for themselves more than it is for us to all judge and think about for others -- unlike, say, murder, which is clear cut.

activities, projects, experiences, and enjoyments — Rank Amateur

So in murder these are the future-goods which are deprived, according to your rationale for murder being categorized as wrong.

Now I would say a bird has activities, projects, experiences, and enjoyments -- eating, building a nest, whatever the now feels like to a bird, and the pleasures of birds. Dogs too. Animals of all sorts have a future of this sort. And they also have a value.

But I would say that animals are not as valuable as humans. I don't say this with respect to their biology -- as clearly humans are just animals as all the rest -- but because of the ethical category they fall into.

For myself I would just say murder is the immoral and intentional killing of a person -- immoral because sometimes the killing of person's is warranted, even if it is not praiseworthy. It is permissable -- such as cases of self-defense, in cases of war, and in cases of euthanasia (in order from less to more controversial). Whether a person has a future or not, such as the case where a person does not wake up from a coma, is not relevant to my thoughts -- the person has value regardless of their future.

Now for some they do not acknowledge a moral difference between beasts and persons. I don't know where you fall on that spectrum. But for me, I do -- I don't think it is immoral to own a dog, but I do think it is immoral to own a human regardless of how well treated. I don't think it is immoral to kill a deer for food, but I do think it is immoral to kill a person for food no matter how humanely done. These are some of the advantages, if we believe there is a moral difference between person's and beasts at least, of the personhood approach: it acknowledges that there is something almost infinite in the worth of others and that they, as ourselves, are owed consideration if we are to count our moral tokens (be they actions, thoughts, or character) as good.

Another advantage to this approach is that it is common sensical: Generally speaking we think other people are worthwhile. Why? Well, we can invent any rationale we want, but there isn't as much a why as there is a who or a what. Whether it be because the body has a soul, because love is all there is, because they are ends in themselves, or what-have-you the metaphysical basis for our actions doesn't matter as much as making the judgment about who is treated like this.

To me it seems that your own argument sneaks personhood, of this sort, in by referencing the activities, projects, experiences, and enjoyments -- things which, say, a stone or an apple will not have. It just misses some of the important things that makes us specifically persons, rather than just beasts, and then tries to write off personhood accounts by saying the personhood of such-and-such does not matter, its the future of such-and-such that does. For msyelf the history matters ethically because it's the history of persons -- its not just any future, its the future of persons. But maybe there is some way of construing the future in a way that does not reference activities, projects, experiences, and enjoyments -- or maybe there is some way to differentiate this from animals while at the same time not resembling what most of us mean by persons. But I'm not seeing how.

Funnily enough it actually seems to resemble your argument, @Rank Amateur, only it looks at time in the reverse rather than forward.

Gotta think on that.

I think that's how this works. :D Give a criteria, respond with a counter-example, give a criteria -- and so forth.

It's not an argument for personhood, but it doesn't fall to your criticism either.

I'd have to ask you once you wake up. I'd probably believe whichever you said, with the caveat that you might be confused.

The thought experiment doesn't address the primary notion I highlighted which is the history of a person -- people have a history. The ship of Theseus is the ship of Theseus because of its history, not because of the specific boards that make up the ship -- though without any such boards the ship of Theseus would be no more.

Okay, so it's actually more general than just a straight line. It's just arclength of whatever manifold we're interested in.

I actually own that game. :D I just got to watch the video. It's a great game.

Here is the problem with personhood, in moral/ethical arguments -

The core issue is, is it biology or something else that makes us a moral actor? If biology, the answer is easy. If something else, what. And all criteria expect one fails on begging the question.

Entity A is not a person because it does not have characteristic X
However characteristic X is in entity B and entity B is a person
Then they modify characteristic X so it only applies to entity A

Leaving the logic: entity A is not a person because entity A is not a person

The exception is the embodied mind argument that our personhood has nothing at all to do with biology. We do not exist as persons until we are an embodied mind. Most often agreed to be sometime in early childhood. This argument is logical and persuasive, the only major issue is it allows infanticide, which as to your whole point above people generally reject. — Rank Amateur

Ehhhh... i don't think I agree with your logic here. But let's put that aside, because I think it would be a waste of time since I likely fall into your category of embodied minds.

The thing I tend to think of that really makes a person unique is that they have a body of their own, they have a mind of their own, they have social relationships, and they have a history. It's the history criteria that I think distinguishes between, say, a person in a coma and a fetus. And the fetus' body is contiguous with the mothers prior to birth so as far as I'm concerned drawing the line at birth is laying the line down on the safe side of things.

At least after birth we can say that there is a child with a body of their own, even if they don't have a mind just yet.

But, yeh, I don't think that personhood is strictly biological so I'd probably fall into the embodied mind camp, as you phrase it. It's an ethical category.

Talking about what other people are disagreeing over isn't necessarily relevant to my position and what I've ended up disagreeing with. You'll have to actually go into what I've said, who I've disagreed with, over what, and why. — S

I was using that mostly as a segue to talk about what I believe your position to be. If you want me to go through your posts and comment individually I will, but it seems like an odd request right off the bat when you could just correct my understanding.

But if you want I will. Just say so.

The one and the other don't have to be of equal value. The fetus just has to be valuable enough to prioritise alternatives to abortion in at least some cases, such as giving birth and keeping the baby, or giving birth and handing over control to social services. — S

Alright, fair enough. Then you consider the fact that the fetus can become a human to have enough value to warrant some sort of moral stop on abortion at some point.

But, why? Is it just a brute value for you?

I'm all for discouragement of the less advisable route and encouragement of better options. And I never endorsed intervention except in exceptional circumstances, and intervention doesn't necessarily mean strapping the mother down, completely taking away her freedom, and forcing her to give birth. I certainly wouldn't be in favour of that kind of extreme intervention. Intervention can take many forms. I'm talking about some form of intervention in the case of red flags, like grossly irresponsible behaviour.

See, to me this seems to be less about the value of the fetus, then, and more about the moral worth of the parent's actions in relation to the fetus. So if someone is irresponsibly pregnant then the fetus has more value than the woman's right to choose, whereas if someone is responsibly pregnant then the fetus has less value than the woman's right to choose, perhaps where the fetus is on a sliding scale of value of some sort depending on development and emotional commitment.

Is that a right or wrong way of interpreting you?

I raised the problem from the start about the ambiguity in "control", and there's ambiguity in "freedom", too. We would need to break these concepts down. But no one replied to my original comment and everyone else carried on regardless.

I guess my value is mostly with respect to a person. The woman is a person, which means they have moral autonomy -- they are the one's who weigh and deliberate in their own personal circumstances about what is right and what is wrong, because no one is better suited to the task than the person who is weighing that decision.

Would the choice effect some other person then the sort of infinite value I assign to person's would require some other means of deliberation -- but I really, honestly do not view the fetus as a person in the least. Value, I grant -- but not anything in relation to the value of a person.

Yes, I don't disagree — S

Cool. At least one point of agreement then :D.

I've been arguing that the outcome should be determined based on a valuation which allows for greater subjectivity than basing it on whether the fetus counts as a person, and then arguing over what criteria to go by. That depersonalises the situation, and makes it about rule following. But it's a very personal situation, and should account for feelings, values, desires, and the like. — S

I agree with your conclusion, but not how you get there. I don't think there's an opposition to be had between our emotive and cognitive capacities -- when it comes to judgment they work in tandem, and answering moral questions requires judgment.

Rules are proposed just because they give cognitive content that we can consider. Of course in so considering them we use our emotions, it's just easier to share linguistic expressions -- rules -- than it is to share our base emotions when we are in disagreement (clearly if we are in agreement this isn't as hard!)

It's not my view that it is morally acceptable to get an abortion for any reason whatsoever, no matter how irresponsible the reason, and the legislation here in the UK doesn't legally permit that. — S

Well, that draws the lines then. :D

Do you acknowledge a difference between morally righteous, morally permissive , and morally repugnant? I don't care about what words are used so much, but I do think there is a middle category between good and evil -- and I tend to think a great deal of our actions fall into that middle category, and abortion is one of those. (EDIT: I should add a fourth category, that of the non-moral, where many actions fall -- but it seemed a bit off course)

To find the simplest cases, I shall seek first an expression for manifoldnesses of n - 1 dimensions which are everywhere equidistant from the origin of the linear element; that is, I shall seek a continuous function of position whose values distinguish them from one another. In going outwards from the origin, this must either increase in all directions or decrease in all directions; I assume that it increases in all directions, and therefore has a minimum at that point. If, then, the first and second differential coefficients of this function are finite, its first differential must vanish, and the second differential cannot become negative; I assume that it is always positive. This differential expression, of the second order remains constant when ds remains constant, and increases in the duplicate ratio when the dx, and therefore also ds, increase in the same ratio; it must therefore be ds2 multiplied by a constant, and consequently ds is the square root of an always positive integral homogeneous function of the second order of the quantities dx, in which the coefficients are continuous functions of the quantities x.

Alright, I have a question about this. I thought I was following until the end here.

As I understand it what Reimann is saying is that the displacement of a line does not alter the length of the line -- it's not like the coordinates themselves follow some kind of progression where the space between 1 and 2 is smaller than the space between 3 and 4. The space is equidistant.

In the quoted bit it seemed to me that he was considering a manifold which is a straight line (segment?), and he is trying to establish the rate of change of x with respect to s (or vice versa?). But then I get lost when he is using the 2nd derivative, because by my figuring that would be equal to zero since he was considering a straight line?

The way I see it, I'm leading the race, followed by you, with Banno in his old banger trailing way behind in the distance, — S

Different ethical strokes for different ethical folks?

I see the inverse. :D

As far as I can tell you're saying that the fetus has value. Ok, so what? I don't think anyone has disagreed with you on that. The disagreement was over whether the value of the fetus is equal to the value of a person's autonomy, and I would agree that a person's autonomy has greater value than a fetus.

Many things have value, but we arrange these values into hierarchies or attempt to balance them when they are in conflict. And what both @Banno and @Hanover have done is attempt to provide some way of reasoning through that balance between conflicting values. But I'm not sure where you have done so.

EDIT: Just to be clear, I pretty much thing it is morally permissible to get an abortion at any time prior to birth. My general argument mirror's @Hanover, but my rough criteria make the line of personhood further along in development.

Personally I don't mind. I think at least getting a gist of the math is important for understanding the broader themes.

Yes! :D Reading him reminds me of an old math prof I had, actually -- his mind was so intuitively mathematical that what seemed like not worth mentioning to him was something that was crucially important for me to follow his reasoning.

I'm not giving up or anything. It's just taking time.

I'm mostly just "checking in" here to say I am reading along, but couldn't come up with much last Saturday.

But what about you, Moli? What would you say? — Banno

I don't mean to invoke humpty dumpty, it's just that to myself it seems that the invocation of atomic number is just as arbitrary as color in designating some aspect as a necessary feature.

For myself it does strike me as odd to say that the color of gold is known a priori. There's a sense in which I can make sense of it -- like, now that I think of Gold as golden it seems that I can think of gold in a purely conceptual sense and say that its color is now part of its concept. But, then, it seems to me that gold could have been other than golden.

However, from my perspective, it seems to me that gold could have been other than having 79 protons in its nucleus too. This was something we discovered a posteriori, and is not a necessary feature of gold -- that is, there is a possible world in which gold has more or less protons than 79. Your thought experiment would apply equally well here too -- imagine that we had some substance who retained the same ductility, the same color, the same melting point and freezing point, the same ratio for certain alloys, and in all other ways was the same as the gold we know in our actual world -- save for the number of protons we find in its nucleus.

Wouldn't we call this gold? Or would we call this something else?

To me I think it's similar to your color example. initially I wouldn't call something gold that happened to be red, but I'd say, perhaps, that it is red gold. And if we found some substance with a different number of protons in it then I'd say it is Gold-78 or some such, if I were being precise.

Sort of like how we came to know there are isotopes of various elements with differeing number of neutrons. They were similar in structure, but different in certain respects (and had different properties too because of that).

Yeah. I had to "push through" that one hoping that the latter parts might help. I'll try and tackle it again on Saturday.

You might say that life is indeed meaningless on such massive time scales such as of billions of years. What about the here and now? What about my life? Let's just focus on life right now, and forget what happens in the far distant future. Unfortunately the question of life's meaningfulness still remains. — Purple Pond

It remains -- but does it remain because of the heat death of the universe, or does the heat death of the universe happen to appear significant because the question of life's meaningfulness remains?

My suspicion is the latter. So a person who is not questioning the meaningfulness of their life will look at these facts and shrug, thinking them of no consequence.

And if that's the case then these facts have no bearing on whether life is meaningful or not. So there must be something else.

Setting Sights: Histories and Reflections on Community Armed Self-Defense -- Scott Crow

2+1=3 in all possible worlds. If it did not, we would not be talking about 2,3,+, or =.

Water is H₂O in all possible worlds. If it were not, we would not be discussing water. — Banno

If we can say this of numbers, and water, and even that the atomic number of Gold is 79 and to find something else would simply be to misuse the word "gold" -- why is it that color cannot function in the same way?

You say that it is a secondary characteristic. Perhaps because it just seems plausible that Gold could be some other color, perhaps if our eyes had different cones in them or something along those lines. But it seems to me that another could just insist that you're using the word "Gold" incorrectly if you're referring to something that is not yellow yet has all the other properties of Gold. They could insist that this is not Gold, clearly, because it is not yellow, but should be called Rold.

I mean why not?

Alright, I think I'm tracking now. I wasn't thinking of the line as somehow "fixing" position, and was caught up on thinking about how I'd actually find my position on the line -- sort of thinking about it like it is in a Cartesian coordinate: I know both yourself and @StreetlightX basically said to not do that, but them's where I was.

But the line example is more general than that -- it's not a function, per se, it's just a representation of a manifold which happens to have that shape. So if a manifold were shaped like a sphere, for example, and that sphere is already "given" in the sense that we already know how far each point is from the origin (if we so chose to express it in such and such a coordinate system), then we would only need 2 numbers to find our position on said sphere.

If this sounds right, then I'd say your circle example helped a lot -- I wasn't thinking of it as having already been "fixed" and was stuck on trying to figure out how I'd find where I was on a coordinate system.

A point of clarification for me. I'm trying to wrap my head around the idea that you only need one number to specify your location on a 2-dimensional line.

The only way I can think that this is possible is if, on every point of the line there is a unique value for that line -- so that you really do only need 1 number to specify your location, the arclength (or whatever), since your position cannot be any other position due to every position being unique.

But otherwise I'm not tracking.

I was reading another paper about Reimann online, and from it I gleaned that I was sort of misreading "manifoldness" -- whereas I was sort of analogizing it with a vector before -- which I really only understand to be a magnitude with a direction -- it seemed to make more sense that Reimann is actually talking about the coordinate system itself. So Euclid or Cartesian coordinates are one example of a manifold, but the manifold could differ from these.

That probably should have leapt out as obvious from the beginning, since I know Reimann is associated with notions of space itself bending, but I thought I'd put that out there to see if others agree.

What do you make of the term "specializations" in the very next section?

I wouldn't say that water being H₂O is a priori -- that at least seems a posteriori to me. The oddity here, taking Kripke as correct and comparing to Kant, is that there is such a thing as a posteriori necessary truths. I don't know if it fucks up Kant, but I think it's an interesting query to compare the two.

Guess I'll have to stop being lazy and actually read Naming and Necessity with y'all before I say more.