I don’t think you can use the Intermediate Value Theorem to answer this. If taxonomists can entirely agree on one single path at each and every stage of evolution, the singular point of where an egg is now defined as a chicken egg where the egg that the creature which laid it hatched from is not a chicken egg–or vice versa, where a creature which is now defined as a chicken where its parents are not chickens–cannot be objectively determined. They’re human-defined lines, which makes this entirely a human philosophy problem in the first place.
(EDIT: messed up the formatting of this image) I like this analogy here:
It’s not completely relevant to this discussion, but it has some good points here. We can all agree that, at some point, it stopped being one color and started being another, but any method we use to draw that line would be arbitrary anyway. Maybe you take the hex code and find the point where the blue value is greater than the red value, but where is the text purple? Does purple even exist under this definition? Or maybe the text is red when, say, the hex for red is 80+% the total color value, blue for the opposite case, and purple for the in-between cases? But then, why 80% and not 90%? This is starting to sound really pretentious, but my point here is that in agreement to your last point, there’s no correct scientific answer to this problem.
If a tree falls in the forest and nobody is around to hear it, does it make a sound? Of course it does.
I see what you’re saying, and I agree with it, but the question isn’t asking “Which egg was the first chicken egg?”, it’s asking “Did the egg come before the chicken?” Determining the exact point is a way of answering the question, but is a lot of work that isn’t strictly necessary to do so.
We can use the Theorem because we don’t care when that point actually was, the question doesn’t ask that. We just need to prove that there was such a point, and the Theorem does that.
To use that text as an analogy, we don’t care which is the first purple or blue word, we just know there is one because the gradient starts from red, passes through purple, and ends up blue, so it must have a first purple word and a first blue word.
Sure, but if you’re using the IVT as a proof that there was a point where there was indeed a “first chicken egg”, you still haven’t answered whether the first chicken egg came before the first chicken. Clearly there was a first egg and there was a first chicken, IVT proves this, but which came first? This depends on those definitions. We’d need to find exactly where it “passes over”, which could depend on who you ask.
If you define a chicken as hatching from a chicken egg (“every chicken must have hatched from a chicken egg”), then the egg came first. If you define a chicken egg as an egg that was laid by a chicken (“all chicken eggs must have been laid by chickens”), then the chicken came first. And notice how these definitions are not necessarily mutually exclusive, leading to this whole philosophical issue in the first place.
If, in a much more extremely broad sense, we’re asking which came first, chickens or eggs in general, then I think we could agree that eggs came first, as I believe creatures were laying eggs long before the first “chicken” emerged, for most definitions of “chicken”.
We’d need to find exactly where it “passes over”, which could depend on who you ask.
No, we don’t. It doesn’t matter when that is, because you and I both agree that it’s out there somewhere, and that at the point in time referenced, a non-chicken laid an egg and a chicken hatched out of it. That’s all we need out of that point, and neither of us are disputing that part of it.
If you define a chicken as hatching from a chicken egg (“every chicken must have hatched from a chicken egg”), then the egg came first. If you define a chicken egg as an egg that was laid by a chicken (“all chicken eggs must have been laid by chickens”), then the chicken came first.
Agreed. I, personally, use the broader egg definition you reference in the last paragraph, but a definition of “chicken egg” would put the whole thing to rest, and I propose this: Not every chicken egg contains a viable chicken. We all agree that these eggs are still chicken eggs when we buy them at the supermarket, though, so my proposed definition is that a chicken egg is laid by a chicken. Otherwise, we end up with unclassified eggs in our omelettes, and we can’t have that.
I don’t think you can use the Intermediate Value Theorem to answer this. If taxonomists can entirely agree on one single path at each and every stage of evolution, the singular point of where an egg is now defined as a chicken egg where the egg that the creature which laid it hatched from is not a chicken egg–or vice versa, where a creature which is now defined as a chicken where its parents are not chickens–cannot be objectively determined. They’re human-defined lines, which makes this entirely a human philosophy problem in the first place.
(EDIT: messed up the formatting of this image) I like this analogy here:
It’s not completely relevant to this discussion, but it has some good points here. We can all agree that, at some point, it stopped being one color and started being another, but any method we use to draw that line would be arbitrary anyway. Maybe you take the hex code and find the point where the blue value is greater than the red value, but where is the text purple? Does purple even exist under this definition? Or maybe the text is red when, say, the hex for red is 80+% the total color value, blue for the opposite case, and purple for the in-between cases? But then, why 80% and not 90%? This is starting to sound really pretentious, but my point here is that in agreement to your last point, there’s no correct scientific answer to this problem.
If a tree falls in the forest and nobody is around to hear it, does it make a sound? Of course it does.
I see what you’re saying, and I agree with it, but the question isn’t asking “Which egg was the first chicken egg?”, it’s asking “Did the egg come before the chicken?” Determining the exact point is a way of answering the question, but is a lot of work that isn’t strictly necessary to do so.
We can use the Theorem because we don’t care when that point actually was, the question doesn’t ask that. We just need to prove that there was such a point, and the Theorem does that.
To use that text as an analogy, we don’t care which is the first purple or blue word, we just know there is one because the gradient starts from red, passes through purple, and ends up blue, so it must have a first purple word and a first blue word.
Sure, but if you’re using the IVT as a proof that there was a point where there was indeed a “first chicken egg”, you still haven’t answered whether the first chicken egg came before the first chicken. Clearly there was a first egg and there was a first chicken, IVT proves this, but which came first? This depends on those definitions. We’d need to find exactly where it “passes over”, which could depend on who you ask.
If you define a chicken as hatching from a chicken egg (“every chicken must have hatched from a chicken egg”), then the egg came first. If you define a chicken egg as an egg that was laid by a chicken (“all chicken eggs must have been laid by chickens”), then the chicken came first. And notice how these definitions are not necessarily mutually exclusive, leading to this whole philosophical issue in the first place.
If, in a much more extremely broad sense, we’re asking which came first, chickens or eggs in general, then I think we could agree that eggs came first, as I believe creatures were laying eggs long before the first “chicken” emerged, for most definitions of “chicken”.
No, we don’t. It doesn’t matter when that is, because you and I both agree that it’s out there somewhere, and that at the point in time referenced, a non-chicken laid an egg and a chicken hatched out of it. That’s all we need out of that point, and neither of us are disputing that part of it.
Agreed. I, personally, use the broader egg definition you reference in the last paragraph, but a definition of “chicken egg” would put the whole thing to rest, and I propose this: Not every chicken egg contains a viable chicken. We all agree that these eggs are still chicken eggs when we buy them at the supermarket, though, so my proposed definition is that a chicken egg is laid by a chicken. Otherwise, we end up with unclassified eggs in our omelettes, and we can’t have that.
Thank you both, I really enjoyed reading this and probably learned a few things along the way