Prove that 0 ≠ 1 for natural numbers 0 and 1.
Prove that you cannot prove that 0 = 1.**
0 is the identity of addition for natural numbers while 1 is not the identity of addition for natural numbers. This means that 0 has a property that 1 has not. Therefore 0 cannot equal 1. QED
>>8423582
How do you know 1 is not the identity for addition? If 0 = 1, it would be.
Also, even if you answer the first exercise (hint: define a natural number), can you do the second?
X + 0 = X
X + 1 ≠ X
how did we go from this...
To what?
The air of suspense is suffocating.
to THIS
this is where it all went downhill
The probe Russia sent to Mars 7 months ago on 14 March just landed on Mars today. If they haven't lost contact for goof, it will be the first probe on Mars that wasn't sent by NASA. Fingers crossed for alien footage :^)
http://www.bbc.com/news/science-environment-37707776
http://exploration.esa.int/mars/47852-entry-descent-and-landing-demonstrator-module/
>>8423514
>for goof
Probably did lose contact.
The Russians build nothing but shit lately.
At least the Soviets tried, despite byzantine methods.
>>8423514
The hell are you smoking OP, the probe is european and they out contact before landing.
>>8423514
>Russia
>European Space Agency
Posting in a troll thread
Also, the probe esplode
Let's say I have a 1 foot long piece of work hardened aluminum.
A 2 inch section at center of the piece has been annealed from welding.
If I apply a force to each end of that piece with me hands - will it bend where the weaker annealed section meets the stronger section or will it bend in the middle of the annealed section (center of the piece)?
And what is this called so I can look it up? I watched a video on bending moment but it was not helpful.
pic: Does it bend at point A or point B?
>>8423493
Also what if the center section was hypothetically stronger, then where?
>>8423493
OP you need to look up "Heat Affected Zones" (HAZ) during welding and the associated microstructural changes that occur within them
Your question is right to point out the edge regions which border the central weld as these areas are tempered by the heat (HAZ) but don't actually melt, whereas the middle section is completely molten and then recrystallised during cooling.
The answer depends on how fast the weld pool was cooled after melting as this affects grain growth and strength, but also whether any defects were introduced during welding.
>tl;dr
not enough information given
>>8423498
actually same place I guess, because there is a shear stress where the weak and strong metal meets, yes? is that the right term?
will things of different strengths always bend where they meet due to shear stress?
white ppl pls help
Why do normal people have their brains turn off when confronted by math above arithmetic?
>>8423485
The same reason an English speakers brain turns off when they look at Russian writing
>>8423485
The same reason human brains turn off when faced with machine code
>>8423485
They can't handle the truth.
challenge: explain what calculus is in ten words or less
pic unrelated
how much one thing changes when another thing changes
>>8423314
Rates of change
>>8423314
a spook
What do you think? Is he right? Should we really be so concerned about the dangers of AI?
https://www.youtube.com/watch?v=8nt3edWLgIg
>>8423249
Pseudo-intellectual bullshit, moving on.
>doesn't work in AI
That's like a lawyer telling a doctor how to do his job. Learn how to stay in your expertise.
I watched the entire and I was left with the impression "what is intelligence." I realize that's not the sort of impression that will be popular on sci, but nonetheless it was hard to decide whether I agreed with his portent of doom since I couldn't decide how plausible it was without knowing better exactly what it is he's so certain we could create. I personally don't believe AI can be created but then again my justification for that is Godel incompleteness theorems. Still I'm no expert so I don't regard my opinion as useful.
Is there any correlation between attractiveness and raw intelligence? I have a theory that the uglier you are, the smarter you can be. This isn't because I myself am ugly, either. Unfortunately, I'm objectively attractive. But think of a man like Socrates, who was notoriously ugly and arguably one of the smartest people to ever live, (if he did in fact exist). Thoughts?
Hmm, I think you may be into something here, OP...
>some guy who just asked circular questions about the meaning of a word to seem profound
>smartest man ever
I think it's just due to the odds of winning the genetic lottery in every department.
Same reason most facially attractive men have small penises, while guys with donkey dicks are almost always ugly as sin.
>Be HS me 2 years ago
>Watching numberphile high as fuck
>Some nigga talking about how there are infinite convex regular polytopes in 2 dimensions, 5 in 3 dimensions, 6 in 4 dimensions and 3 in all dimensions higher than that
>Lol shit nigga dis weed good.
>I wonder about how they even prove that there are exactly that many for a dimension
>Be math major today
>Start studying convex polyhedra in 3-space in class
>Professor says we will be proving how there are only 5 convex polyhedra
>Sheeeiiiiiiiiiit nigga
Can anyone here tell me a single reason why studying mathematics is not like smoking a pound of weed and then looking at your roof until you see some crazy shit?
>>8423124
actually that's exactly what it's like, except that 'looking at your roof' actually has specific rules that you to have to follow so that you can be sure you are 'seeing some crazy shit'...
>c.f. non-Euclidean geometry
This is a nice thread. i dont exactly understand the point of it but thats a good story.
>>8423124
I feel kind of bad for admitting this, but I didn't really understand topology until I got high as fuck and started reading General Topology by Kelley. 15 year old me was never the same again dude weed lmao
Does free will exist?
>>8422998
define "free"
>>8423023
Presented with choices A and B, you can go either way.
>>8423040
By that definition. A machine which does everything based on a random coin toss can be said to have free will.
>Fahrenheit
>Not using Romer
Fucking plebs on this board.
Fahrenheit is more useful in a real world basis
0 = cold
100 = hot.
Meanwhile Celcius:
0 = kinda cold
100 = dead
Imperial is retarded, though.
>>8422762
Amerilard detected
Is it a meme for brainlets without real IQ or a real thing?
>>8422697
Why can't it be both?
>>8422697
IQ is a meme for brainlets without actual intelligence
>>8423086
>cant even solve an IQ test
>I-Im actually smart guys
we know who the brainlet is alright
What is your favourite brain teaser/logic problem? No boring lateral thinking/riddles pls
stuff like pic related
nigga that's a paradox
>>8422672
yeah I know it has no solution, but still, in order to know it's a paradox you have to use logic
Here are two more problems that are similar to what I'm looking for
1) A. The number of false statements here is one.
B. The number of false statements here is two.
C. The number of false statements here is three.
D. The number of false statements here is four.
Which of the above statements is true?
2)
If the puzzle you solved before you solved the puzzle you solved after you solved the puzzle you solved before you solved this one, was harder than the puzzle you solved after you solved the puzzle you solved before you solved this one, was the puzzle you solved before you solved this one harder than this one?
>>8422672
The goal is to prove that it is a paradox
Currently in my second year of college. I aiming for a Bachelors degree in CompSci. Did i just fall for a meme, or it is what one should do?
What about Quantum, how different is it from CompSci?
i would of thought here at /sci/ someone would truly have some type of insight, rather than reddit...
>>8422636
The only person who knows what you should do is you. If you are getting into STEM just to get a meme career then you aren't STEM material. If something in STEM interests you then pursue that degree, don't just do it for the memes. There is no one answer to everyone's life problems.
>>8423132
no problem, rather know what i am getting into. If everyone is jumping on the CompSci wagon, then the demand wouldn't be so demanding. That is the answer i am looking for, as from the ones who are in the field, or better yet ones that jumped from going into CS and went into quantum
What would happen to you if you ate a gram of resiniferatoxin?
it would be extremely painful
>>8422412
You're a big guy.
>>8422414
UU
UU