@freemo In none of those examples are you doing integer addition.
The first two examples are collision, not addition. The third is procreation, not addition.
One electron added to one positron is two physical things... until they collide, which kicks off annihilation (which is also not addition).
For water, your quantity is not "1", but rather "blob". So, yes, blob+blob=blob, but none of those are integers. When they combine, it's not the math that changes, but rather the means by which you measure it. In different units, such as one gallon plus one gallon, the math holds true.
These universal truths I describe are often incredibly narrowly defined, by necessity. I believe very few things are truly absolute, but there are a few.
> In none of those examples are you doing integer addition.
The first two examples are collision, not addition. The third is procreation, not addition.
I never said addition was collision. Addition is "the combination of two things into one".. 2 is not one and one seperately, it is only when you take one and **combine** it with another 1 that it becomes 2.
The nature of how you "Combine" then is again open to definition. You can put them in the same basket or within some bounded space.
In the case of antimatter I picked electrons because they are point-like when manifest, so two electrons can **never** collide. It is only when they are near proximity (within the same energy level and region) that they combine and annihilate.
But again its all definitions. But it is important to note that addition is the combining of things, and is **not** the same as counting, which is an ordered set you are iterating through.
As for integers, again just a play on definitions. If i am adding ducks, is a conjoined twin duck two ducks or one? What if it has two heads vs 4 legs and one head? Or do we count the atoms that make up a duck. Why is a glass of water some real number thing (the volume) and not a single integer "one blob of water".. afterall ducks can be of various sizes and configuration and made up of constituent parts, so why cant we treat water the same?
Again the point here is all of this is you relying on arbitrary definitions to make any of this work. There is no "reality" to it and is very much a debatable "fact".
But again if the fact that "1+1=2" is true or not isnt relevant. Because even if it is a concept thatis absolutely and objectively true, since we can (and are) disagreeing on that it is only your **opinion** that it is fact, it is my opinion it is not fact. One of us might be true but there is no way to prove which of us is true in an infallable way, ergo regardless of its underlying truth it is still an opinion that it is true.
@LouisIngenthron Oh to answer your last question...
> such definitions describe concepts that would seem to be universally constant, that are independently and repeatably verifiable regardless of perspective. If we don't call those "facts", what do we call them?
Such a thing doesnt exist. Perspective will change what is true. A person tripping on acid or said to be hallucinating from their perspective they will see a very different reality and from their perspection they think their "facts" are objectively and repeatably true and you look like the crazy person (usually).
So you are really asking "What if something I and most people I talk to all agree we get the same results almost every time we do the experiment"... we would call that "An opinion of fact that we have high confidence in"... for the sake of linguistic simplicity we simply call that a "fact" but we must be aware that what we are always saying when we say fact is just an opinion you hold in high confidence.
@freemo I feel like you're unnecessarily equating labels with their underlying concepts here.
The concept of two is still two whether we write it as "2" in base-10 or as "10" in base-2.
Likewise, the concept of integer addition is distinct from the addition symbol "+" which is also used to denote many similar-yet-distinct concepts (such as the ones you describe). While those may be referred to as "addition", they aren't the concept of integer addition that I'm specifically referring to.
These are, as you initially described them, effectively "definitions" that prove themselves circularly, but a tiny subset of such definitions describe concepts that would seem to be universally constant, that are independently and repeatably verifiable regardless of perspective. If we don't call those "facts", what do we call them?
@freemo Idk about that. If you met someone from 100 years ago, you'd sure seem like an oracle to them. I imagine that's largely true going back through human history. As a species, we seek to define and understand the world around us, and the only way we can truly do that is by finding these universal truths and using them as lenses. I don't think we've found many yet, but we're working hard on finding more.
I don't need confirmation from an omniscient oracle to confirm a fact as true. I just need to be reasonably certain that even totally foreign beings who experience life in a way that's unfathomable to me would still inevitably and independently come to the same conclusion, and I believe that to be true of "1+1=2".
> Idk about that. If you met someone from 100 years ago, you'd sure seem like an oracle to them.
So if someone a 100 years ago thought of a random number and asked this seeming oracle to tell them what number they are thinking of, would they be right 100% of the time? No. Therefore even to a critical thinker 100 years ago it would be trivial to prove you are not an oracle (a person who can determine what is fact without any chance of being wrong or not knowing).
> As a species, we seek to define and understand the world around us, and the only way we can truly do that is by finding these universal truths and using them as lenses. I don't think we've found many yet, but we're working hard on finding more.
Nothing wrong with trying to refine your opinion and your certainty of it based ont he evidence and your own logic. Also nothing wrong with communally sharing that so we all have a collection of opinions that are educated and well thought out.
But no matter how much you explore objective truth you can never state a thing to be absolute truth beyond it being your **opinion** that it is an absolute truth. Sure it may or may not be actually an objective truth, but with no oracle capable of determining that it will always be your opinion. The only thing that changes with evidence (and should) is the confidence you have int hat opinion. It will never stop being an opinion.
@LouisIngenthron also to address your otherpoint.. my argument is not that there isnt an objective truth, only that no oracle exists as to what is and is not an objective truth. So even if something is, in reality an objective truth, the fact that it is so is still just your opinion of it.
Troglodite thinking:
Opinion - Something you believe to be true based on no or limited evidence.
Fact - A thing you believe to be true that is objectively true.
Enlightened thinking:
Opinion: Anything I believe to be true whether it is true or not and no matter what level of evidence I believe I have.
Fact - A thing which an oracle could, would know is objectively true, but since oracles dont exist we can never exert with certainty that something is or is not fact. It is at best an abstract concept.
Not sure who needs to hear this. But all utterances are opinions. The ones you **Beleive to be facts** may be correct or not, but even if it happens to be correct it is still only your OPINION that it is a fact.
We should and do utter things as if they are facts because since all things are opinions without exception this is just linguistically easier. But if your criticizing something for a distinction between opinion and fact your probably already misunderstanding the idea. All utterances are opinion, full stop.
@freemo People ask daily what kind of dog Violet is. I'm tempted to tell them she's an Esperanto Eelhound.
My best life advice:... Figure out that thing that scares you to death, and dont just face it, conquer it, destroy it. Then when you finish, find the next greatest thing you fear.
Its remarkably freeing to have things that used to be fears for me being source of joy (SCUBA, heights, and at a young age, talking to women and even just people would all fit the bill).
Fuck You -- Ceelo Green
I have to say, he really does her dirty in this song (about a woman who cheats on him)... This is my kind of trolling, I love it!
The fact that third-party vote pisses off both democrats AND republicans is a good enough reason on its own!
How many years will it be until we are capable of time travel into the past?
Assume humans dont go extinct first.
You couldn't pay me enough to vote for trump. There's not enough money in the world.
That orange pos, thanks to man, is way ahead in the polls. Biden needs to drop out now and let someone run who can beat trump. At this point, almost anyone else would be good.
Biden's ego is going to get us trump. Just like Hilary's did
Jeffrey Phillips Freeman
Innovator & Entrepreneur in Machine Learning, Evolutionary Computing & Big Data. Avid SCUBA diver, Open-source developer, HAM radio operator, astrophotographer, and anything nerdy.
Born and raised in Philadelphia, PA, USA, currently living in Utrecht, Netherlands, USA, and Thailand. Was also living in Israel, but left.
Pronouns: Sir / Mister
(Above pronouns are not intended to mock, i will respect any persons pronouns and only wish pronouns to show respect be used with me as well. These are called neopronouns, see an example of the word "frog" used as a neopronoun here: http://tinyurl.com/44hhej89 )
A proud member of the Penobscot Native American tribe, as well as a Mayflower passenger descendant. I sometimes post about my genealogical history.
My stance on various issues:
Education: Free to PhD, tax paid
Abortion: Protected, tax paid, limited time-frame
Welfare: Yes, no one should starve
UBI: No, use welfare
Racism: is real
Guns: Shall not be infringed
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Trump: Moron, evil
Biden: Senile, racist
Police: ACAB
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