I don't know. What's "real stipulation"? Does that mean "arbitrary"? — Srap Tasmaner

If I stipulate that zero can be positive or negative, I'm inviting you to agree that we will talk about it that way. The agreement is the basis of the way we speak, not some intuition that we share.

Where we share intuitions, I shouldn't have to stipulate anything. Those intuitions ground our language use.

There's choice in axioms at least in the sense that we can select which of our intuitions to build on. — Srap Tasmaner

Then there's no real stipulation going on. The mathematician is guided by which of his intuitions he wants to explore. That's the only choice involved. Is that what you're saying?

They clearly are a matter of choice or there wouldn't be non-Euclidean geometry. — Srap Tasmaner

I guess we aren't on the same page here. :victory:

But Euclid had axioms. — Srap Tasmaner

Those aren't a matter of our choices though. They reflect cognitive imperatives.

That was our question: Do mathematicians stipulate like the architects of artificial games? Or do they follow imperatives that we all share?

We have some basic intuitions about collecting and counting, about geometry, and so on, and we build mathematics out of those by making choices, our axioms, and then those axioms have logical consequences. — Srap Tasmaner

If you're talking about the axioms that protect set theory from paradoxes, you're right. There's nothing intuitive about those axioms. It's debatable whether math really needs set theory as a foundation, though. That's the danger of fiat. Once you're free of any rudder, anything goes.

You're the one who seems to be insisting that the rules you've mentioned have no use even within the realm of math itself.

Interesting.

Then I take it you don't recognize pure math as having meaning — Real Gone Cat

If what you're saying is meaningful, there should be some use somewhere.

I take it you know of no practical use, but maybe there are non-practical "pure math" uses. If not, then what you're saying is mumbo jumbo.

What are you aiming at? — Real Gone Cat

Meaning is use.

I was addressing the idea that 0 cannot be across from itself. Now you want applications? I don't get you at all. — Real Gone Cat

I'll take that as a "no"

The current situation looks dire. — Manuel

Lots of death, yes.

frank

No, I was thinking more fundamental mathematical principles, or how mathematics as a system works. Things like harmony, symmetry, orthogonality, duality, that kind of stuff. — Srap Tasmaner

Aren't those things features of how the human mind works?

So, let the domain be the number line and replace A with 0. Clearly each negative number is the image of its corresponding positive value under a reflection in 0 (and vice versa). Now here's the kicker : 0 is a reflection of itself. I.e., 0 is opposite (across from) itself. — Real Gone Cat

Do you know of any practical use for this information?

Let's set aside what caused Putin to invade, it matters less now, because the war is going on. The important question now, is what are the next steps that could be taken to end this war as quickly as possible. — Manuel

I think this is a good idea. Our assessments of how we got here won't agree. You can criticize the West for supporting Ukraine, but that's not going to stop as long as Biden is in office. The situation is pretty entrenched at this point. More caskets will be filled.

If you need to say every integer has a sign (for whatever reason) then you'll need 0 to have a sign. Which one? That strikes me as a deep question, in the sense that your reason for giving it a sign is probably not powerful enough to dictate which sign; you'll need some other reason for saying which, and that reason is likely to be "deeper" if you see what I mean. — Srap Tasmaner

Deeper into what? Cognitive imperatives?

I'd forgotten Dennis Ritchie talks about that, but computer scientists (not coders) spend a fair amount of time thinking about semantics. When Jim Backus and his team at IBM invented the first high-level programming language, they had to simultaneously figure out what such a thing would be, and also invented a formal way of specifying its grammar, the Backus-Naur Form still used today. — Srap Tasmaner

I once made a program in machine language and burned it into proms. I'm guessing the higher level syntax would follow necessity to some extent? The purpose was to speed things up so that bigger, more elaborate programs could be written. There's stipulation in that, I guess, with necessity as a rudder.

What is math's rudder? What necessity would inspire us to talk in terms of +0?

The trouble comes of what fills the role of stipulation in everyday usage of a natural language. — Srap Tasmaner

I don't know. There are jargons everywhere, in sports, in the law, in engineering, in medicine, etc. But I don't think there's much stipulation going on.

The original creator of C-language spent most of the introduction of his book complaining that C is not a language because "language" refers to the use of the tongue, and your tongue is useless in computer programming. He was already subject to a jargon that developed somewhat organically.

"Zero has an inverse" is true IFF zero has an inverse.

Problem solved.

In other words, zero is across from (opposite to) itself. — Real Gone Cat

If that perspective is valuable to you, then great. It wouldn't be valuable in say, electronic engineering, where zero volts or ground is neutral. You really can't have it that zero volts is also positively or negatively charged.

I think that same situation will hold in most of the ways we use "zero.".

If the domain of mathematics has some other use for the word, I wonder what it could be.

and that's the point made by Austin's strategy. Until you have a term with which to contrast it, "real" has no meaning, does nothing except perhaps misguide. — Banno

I see.

Indeed and so we might arrive back at idealism - what criteria do we use to demonstrate that the physical world is real other than intersubjective agreement? Not sure kicking a rock Dr Johnson style will cut it. Do you have an approach to this? — Tom Storm

At one time, my greatest fear was of not being able to tell reality from fiction. When I began to realize there is no criteria for that, I headed into a crisis.

I decided that my explanations for what I experience will always be in flux. My anchor is the content of my experience. It's kind of like a deal I made with myself. It works. Plus I'm no longer afraid of being insane. That helps.

Sure. So here an unreal idea would be an hallucination? A dissociation? Again other words set the issue out with greater clarity. — Banno

I don't know what an unreal idea is. They guy thought he was a character in a video game. That was an idea which he took for reality.

Since you have no criteria for determining if you're presently on Ketamine, you don't know if the world you think of as real is just an idea.

I first noticed that when I was about 16. It's not bad philosophy. It's just part of being human.

Sometimes people confuse their ideas with reality, as with the Ketamine use I was describing. A person thought he was a character in a video game.

Were you thinking that we can't see the effects of quantum weirdness with our own eyes?

And let's face it: if Putin would get an armstice or a frozen conflict on these frontlines at present, he could say the war has had been a great success. — ssu

It doesn't look like the Ukrainians are in the mood. The war crimes just keep rolling out day after day.

There's the realism/antirealism of ontology, — Banno

Per Chalmers, ontological realism just says that statements of idealism or materialism are truth apt. Ontological anti-realism denies this.

It's probably best to give a quick definition of the kind of realism you want to talk about.

The idea of there being one true belief, and the concomitant persecution of heretics, seems to be something for which we can thank Christianity. — Banno

Sadly, Aquinas' justification for executing heretics, referred to by Catholics during the inquisitions, was a passage from Plato.

Presumably, Islam ("{submission") borrowed the idea in spreading acceptance of its teachings. — Banno

"Islam" was originally a term for an aspect of the Arabian economy. Traveling merchants could pay the local bandits to allow them to pass through the desert unmolested. This pact was called islam, and the one who paid this fee was a muslim (one who submits).

When Muhammad joined all the Arabian tribes together, a problem arose stemming from the fact that raiding was part of the economy, and now nobody was raiding anybody else. This led to the eruption of Arabs out into the Iranian world. At first, the Muslims wouldn't allow Iranians to convert to Islam. Eventually there was a revolt, and the Iranians took back their territory, as Muslims. Now former Christians, Buddhists, and Zoroastrians were the Muslim elite. This is why, for the most part, Islam was spread in the Persian language, not Arabic.

There are scholarly viewpoints on both Plato and the gospels.

Sometimes Christians decide they have special knowledge about how to properly interpret the Bible. Apparently the same thing can happen with Plato. The former gives rise to a new Christian sect. I have no idea what the latter view, clearly opposed to scholarship, becomes.

Come now. I've been a lawyer for a long time. I recognize a cross-examination of a very friendly witness; I've done more than a few. In the case of Plato and his sock-puppet Socrates (I don't think it's believed by anyone that Plato was a stenographer, faithfully recording questions asked of the real Socrates and answers given by him), Plato isn't even examining such a witness; he's asking questions he's contrived and answering them as he pleases. He has points to make and uses dialogue as a rhetorical device to make them. — Ciceronianus

:up: Plato clearly believed in a divinity of some sort.

But Plato was an advocate of certain political and philosophical positions, not merely engaged in an academic enterprise. — Ciceronianus

He was profoundly disillusioned by the behavior of the Athenians around the time of Socrates' execution.

As I noted, that is the subject of this thread. — T Clark

Okey dokey.

That's the subject of this discussion. — T Clark

You stated that what is usually considered to be reality may be distinct from reality as viewed from a philosophical perspective.

Can you not articulate what the potential difference is?

What is generally accepted as reality" is not necessarily the same as reality as viewed from a philosophical perspective. — T Clark

What's the difference?

Aren't delusions unreal by definition?
— frank

That's one of the questions on the table. — T Clark

Delusion:

"An idiosyncratic belief or impression that is firmly maintained despite being contradicted by what is generally accepted as reality or rational argument."

What about the definition are you questioning?

An alternative philosophical question - to what extent is the delusion real? — T Clark

Aren't delusions unreal by definition?

I fairly regularly get to standby when a person's been given Ketamine for some painful procedure. That drug puts people under so they don't feel pain or move, but as they're coming out of it, they usually go into a dissociative state that's terrifying.

There was one person who screamed over and over that he wasn't real. Turned out, he'd been convinced that he was a character in a video game, which just the kind of bizarre shit Katamine produces.

So of course, the philosophical question that comes to one is: how do I know I'm not on Ketamine? What criteria would I use to determine that?

Yes, Biden and Obama are in opposite sides of the Democratic party spectrum. That's normal. Presidential candidates usually try to pick someone who complements them to appeal to more voters.

This is why Obama wouldn't have picked someone like Sanders as a running mate: the ticket would have leaned too progressive to win.

Trump is a wildcard in terms of foreign policy. He knew next to nothing about global politics and cared less, except for his grudge against China for its biased trading demands. A lot of people thought it was time for China-American trade to become more fair to Americans. Biden was expected to thaw relations with China, but maintain the trade war.

As for Russia, while campaigning, Biden couldn't have made it more clear that he planned to punish Putin in some way for interfering in American elections. Putin handed him the means to do so.

Omg, that's so sad. Russian unemployment rate:

It kind of looks like he's trying to lower the unemployment rate in Russia by killing off men.

People would first need to shed statism as they did religion. — NOS4A2

They do shed statism when the state system collapses as it did at the end of the Bronze Age and when Rome fell. What follows is a dark age where warlords roam around destroying everything and paying for allegiance with loot.

The possibility of creating technology, universities, science, artists, philosophers, etc. only opens up when people adapt to the emergence of states again.

Western Rationality is relentlessly undermined by all forms of media determined to condemn all things Russia and all things Putin into Dante's 9th circle of hell. The myriad articles, opinion pieces, dramatic images, accompanied by stirring music is all a powerful psychedelic that warps otherwise normal people, who care nothing about geopolitics nor have any real interest in the matter, now spontaneously tell you how Putin is literally evil. — yebiga

You've got to stop dropping acid before you read the newspaper.

Will the war have the effect of cementing Putin's control over Russia? Or loosen it?

The problem with saying Russia was threatened, so we should have seen this coming, is that no one saw it coming. Biden was ridiculed across the globe for warning that Putin was about to invade. Nobody believed it even in Russia and Ukraine.