Readit Newshow do you sustain attention and thoughtfully review radiological scans when 99% of the time you agree with the automated assessment? i'm pretty sure that no matter how well trained the doctor is they will end up just spamming "LGTM" after a while.
(this is an unsolved problem that exists in many domains from long before AI)
1. I engaged with Gemini.
2. I found the results wanting, and pasted them into comment threads elsewhere on the internet, observing that they tended to support the common criticism of LLMs as being "meaning-blind".
3. Later, I went back and viewed the "history" of my "saved" session.
4. My prompts were not changed, but the responses from Gemini were different. Because of the comment threads, it was easy for me to verify that I was remembering the original exchange correctly and Google was indulging in some revision of history.
As a naturally curious person, who reads a lot and looks up a lot of things, I've learned to be cautious when talking to regular people.
While considering buying a house I did extensive research about fires. To do my job, I often read about computer security, data exfiltration, hackers and ransomware.
If I watch a WWI documentary, I'll end up reading about mustard gas and trench foot and how to aim artillery afterwards. If I read a sci-fi novel about a lab leak virus, I'll end up researching how real virus safety works and about bioterrorism. If I listen to a podcast about psychedelic-assisted therapy, I'll end up researching how drugs work and how they were discovered.
If I'm ever accused of a crime, of almost any variety or circumstance, I'm sure that prosecutors would be able to find suspicious searches related to it in my history. And then leaked out to the press or mentioned to the jury as just a vague "suspect had searches related to..."
The average juror, or the average person who's just scrolling past a headline, could pretty trivially be convinced that my search history is nefarious for almost any accusation.
Indeed with the point at infinity you can simplify geometry by dispensing with Euclid's 5th postulate. There are no parallel lines, any two lines intersect at a single point just the same way as any two points are intersected by a single line, and the intersection points of the lines we call "parallel" simply happen to be "at infinity" (outside the set of ordinary finite coordinates).
The vanishing point in a perspective drawing is a point with a value that is literally beyond the finite coordinates of any object. And you don't need to be looking at a drawing to see it.
In a certain regard its an accounting trick. Saying parallel lines meet at infinity is literally like saying "lets schedule this meeting for never", except the mathematicians added an actual box to the calendar for a date called "never" as an accounting hack, but the hack works so well you really have to wonder if it might actually be a real date or if its just an incredibly useful fiction.
Aren't all numbers just incredibly useful fictions?
Why is a date called never / a point at infinity any different?
https://i.pinimg.com/originals/20/7b/ae/207bae64d2488373fd4a...
The prime property of numbers is also very real, a number N is prime if and only if arranging N items on a rectangular, regular grid can only be done if one of the sides of the rectangle is 1. Multiplication and addition are even more simply realized.
The infinity of natural numbers is not as real, if what we mean by that is that we can directly experience it. It's a useful abstraction but there is, according to that abstraction, an infinity of "natural" numbers that mankind will not be able to ever write down, either as a number or as a formula. So infinity will always escape our immediate perception and remain fundamentally an abstraction.
Real numbers are some of the least real of the numbers we deal with in math. They turn out to be a very useful abstraction but we can only observe things that approximate them. A physical circle isn't exactly pi times its diameter up to infinity decimals, if only because there is a limit to the precision of our measurements.
To me the relationship between pi and numbers is not so unnatural but I have to look at a broader set of abstractions to make more sense of it, adding exponentials and complex numbers - in my opinion the fact that e^i.pi = 1 is a profound relationship between pi and natural numbers.
But abstractions get changed all the time. Math as an academic discipline hasn't been around for more than 10,000 years and in that course of time abstractions have changed. It's very likely that the concept of infinity wouldn't have made sense to anyone 5,000 years ago when numbers were primarily used for accounting. Even 500 years ago the concept of a number that is a square root of -1 wouldn't have made sense. Forget aliens from another planet, I'm pretty sure we wouldn't be able to comprehend 100th century math if somehow a textbook time-traveled to us.
I think people want to assign responsibility to the "agent" to wash their hands in various ways. I can't see it working though
Wait is this still about AI?
¹ https://www.amazon.com/Journey-Edge-Reason-Life-G%C3%B6del/d...
Amazingly he still passed.
