Art of Computer Programming

Why u dont pray to this monument does AoCP not sound cool enough?

>>1
AoCP requires Ph.D in mathematics to read.
SICP, on the other hand, uses plain english, like Bible.

>>2
JEWS

>>2
SICP uses Lisp, like a faggot.

>>4
Lisp has no prequisites.

>>5
Except for being a faggot.

faggot faggot faggot!!???

>>7
LISP LISP LISP

>>2

AoCP requires Ph.D in mathematics to read.

Which pages have Ph.D.-level mathematics on them?

>>9
The ones looking like "R = {X | ...}" with a bunch of /\ and \/ symbols.

^{:GJS1M 67dcbdbce4a0b67c4b48e86a6ae29205a95e4b83024a9d947213d1231800e8d9
:31 048641a6526b4c18273fe254aea4bf98
:1309516339 1309530183}
>>3
dubz

>>10
That was terrible and you should feel bad about it.

>>12
"terrible" is using a /\ b instead of (and a b)

>>13
infix operators are so much better than your jewishly normalized prefix notation

>>14
your mom is much better.

>>10
Set builder notation considered difficult!

>>16
what is "set"? can't find definition anywhere...

>>17
Most mathematicians use 'set' to mean a collection of distinct things (the 'things' can be anything, even unrelated items) where ordering does not matter. You might be confused because in a lot of books on set theory (or books that use set theory), they leave a set as an undefined concept, which sounds nice and formal, but in reality there is an intuitive motivation behind the concept of a set they just assume everyone shares. Hope that helps, if not, feel free to ask.

Also, IHBT.

>>18
Why can't they use cons-pairs instead?

>>18
where ordering does not matter.
But ordering always matter! If you write two values to memory, one of values would always get higher address.

>>18
in reality there is an intuitive motivation behind the concept of a set they just assume everyone shares.
So, http://en.wikipedia.org/wiki/Axiom_of_infinity is "intuitive"?

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:1309516339 1309534023}

>>21
dubz

>>21
http://i.imgur.com/kR0p2.jpg

>>23
http://i.imgur.com/kR0p2.jpg
You should increase photo exposure, before taking photos, because your cat's color looks really washy.

>>24
Thats not mine,its a reaction cat.

>>23
If you expose to the left (but not to the point of clipping the shadows) then push up the image exposure in RAW then you get a much more vibrant image.

>>25
$ ls -l /etc/alternatives/cat
lrwxrwxrwx 1 root root 17 2011-01-01 00:00 /etc/alternatives/cat -> /bin/reaction-cat
$

>>25
His expression is like "I am tired of this bullshit"

>>19
You technically could. But when you're using a set in math, you only care about the abstraction that the set provides, not how it would be implemented on a machine. It would be hilarious and irrelevant if, in the middle of a Topology paper, you said "By the way, our use of 'set' in this paper is understood to be implemented by a linked list."

I hate to do this, but the preface to the first edition of SICP explains it well:

Mathematics provides a framework for dealing precisely with notions of ``what is.'' Computation provides a framework for dealing precisely with notions of ``how to.''

>>20
I was talking about the mathematical abstraction, but I understand the point you're making. Sure, if you write that S = {4, 9, 2, 1}, there obviously is an 'order' there, which looks different than T = {1, 2, 4, 9}. Still, in a normal set, S = T, despite the fact that they look different. They only have to contain the same distinct elements to be equal. Why? Because it's the abstraction that is useful.

As far as the data structure goes: in, for example, Common Lisp, when you use a function that operates on a 'set' (this actually is just a cons pair), it obviously writes things somewhere in memory in a specific order. It's just that there's no guarantee that the order you specified or expected will be preserved in the result of the function. It's an abstraction built on a normal list (for the record, I've never found it to be terribly useful when writing code).

>>21
Not really, but an axiom of set theory (about a particular kind of set) is different than the general, intuitive 'idea' of a set itself. I hope you realize this. Is your goal in this to prove that mathematics is useless because it is 'based' on shaky foundations? That's not a sarcastic question.

>>23
I type out a nice, long response. For the record, however, I like yours better.

>>29
It would be hilarious and irrelevant if, in the middle of a Topology paper, you said "By the way, our use of 'set' in this paper is understood to be implemented by a linked list."
That is the problem with mathematics.It has no connections with reality.

Today's scientists have substituted mathematics for experiments, and they wander off through equation after equation, and eventually build a structure which has no relation to reality. -- Nikola Tesla

Mathematics provides a framework for dealing precisely with notions of ``what is.''
So, what is "infinity"?

Why? Because it's the abstraction that is useful.
Why not use ASSOC lits instead? It would be much easier to think about, than some abstract mumbo-jumbo requiring PhD to understand.

>>29
Mathematics provides a framework for dealing precisely with notions of ``what is.'' Computation provides a framework for dealing precisely with notions of ``how to.''
You can have ["how to" determine "what is"], but you can't have ["what is" "how to"].

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:1309516339 1309536314}

>>31
dubz

>>32
Meaning "what is" is a special case of "how to".

>>31

That is the problem with mathematics.It has no connections with reality.

This is true, but I think you feel this way for the wrong reason. Math gives us models, which can then be applied to physical situations. Math is not a description of the physical situation itself, it's a framework to measure some quantitative aspect of the situation. Math often isn't connected to reality in the sense that some models don't apply to anything in the 'real world', or don't give us a useful answer.

Today's scientists have substituted mathematics for experiments, and they wander off through equation after equation, and eventually build a structure which has no relation to reality. -- Nikola Tesla

This is, again, very true, but you still need math. For example, good luck quantitatively describing the magnetic field without vector calculus. You just always have to make sure that the 'correct' math you're doing actually applies to the given situation.

So, what is "infinity"?
A vague notion of 'something without boundary' that is useful when building some mathematical models (the Calculus), accurately describes properties on things like the real number line, but is hard to visualize in real life.

Why not use ASSOC lits instead? It would be much easier to think about, than some abstract mumbo-jumbo requiring PhD to understand.

Unless you build something on top of an ASSOC list that has the same properties as a set, what you're saying is nonsensical.

If it does have the same properties, then every time you see the word 'set', just think of your data structure (I personally don't understand why you'd use an assoc-list...). In fact, I would encourage you to bash out some mathematical ideas you don't find grounded in reality in SLIME. If you do that, you should post your code. I'd be interested in seeing it. I think there was actually a book that did this (in Lisp, even) a while back. I don't know if it was any good or not, because I didn't read it, because I tend to regard the 'foundations of mathematics' stuff as quixotic bat-shittery (okay, Google confirms it was Meta Math! The Quest for Omega).

>>32

This is a tired philosophical argument, but I sort of agree (although I think you're oversimplifying). You can name a 'thing', but not necessarily find a way to represent/create that thing. On the other hand, if you create a process or description that makes something, you've created a 'thing' with the structure you built (although note that the structure is not the 'thing').

>>35
Unless you build something on top of an ASSOC list that has the same properties as a set, what you're saying is nonsensical.
Please, show us a physical entity, for description of which Lisp's list aren't flexble enough.

but you still need math. For example, good luck quantitatively describing the magnetic field without vector calculus.
Can you present us a physical experiment, which would prove that magnetic fields are infinite and continuous?

Math gives us models, which can then be applied to physical situations.
"can be" doesnt mean "should be". One can apply Biblical creation theory to physical situations.

Math is not a description of the physical situation itself, it's a framework to measure some quantitative aspect of the situation.
It is a language. And, as language, it could be replaced by some easier and less vague language. Lisp, for example.

Math often isn't connected to reality in the sense that some models don't apply to anything in the 'real world', or don't give us a useful answer.
Actually, most of math is fantasy. When one says that reality is "continuous", one talks about his beliefs, not what one really knows.


A vague notion of 'something without boundary'
And the whole modern science is build on a vague concept?

that is useful when building some mathematical models (the Calculus), accurately describes properties on things like the real number line, but is
Why can't one go some other way, and devise Calculus without infinity? You don't need infinity to count physical quantities.

>>16
Set builder notation considered difficult!
It requires to much tacit knowledge to work with.
(remove-if-not prediacate? universe) is an order of magnitude clearer. And it explicitly mentions `universe` - a list of all objects.

>>36
I'm tired of responding to you. Your posts are a textbook example of the 'moving goalpost' fallacy, because you know that you're full of shit, and your only hope is to be so ridiculous that I can't answer you, so you can then use your backwards logic to feel that your entire line of argument is valid. I've tried to be civil and polite, but you're apparently just another textboard retard (or a troll).

Please, show us a physical entity, for description of which Lisp's list aren't flexble enough.

I am sick of you babbling about representing math with Lisp. Nobody cares. 

Can you present us a physical experiment, which would prove that magnetic fields are infinite and continuous?

http://i.imgur.com/uLgRq.jpg

"can be" doesnt mean "should be". One can apply Biblical creation theory to physical situations.

Good luck getting anything useful out of that.

It is a language.

The symbols have meaning, and it's the meaning that's important. Anyone who doesn't realize this hasn't studied much math, and is therefore inadequate to judge math. If I write, "Hey, retard, that dog is going to bite you", which do you care about with respect to the word dog: your understanding of the implication of the word (a certain type of animal) or what the word looks like? Math notation is what it is because it's what other mathematicians use, and the running standard seems to be 'perversely concise.' LOL GROUPTHINK CONSPIRACY OMGGGGGGGG^GGGGGGGG.

And, as language, it could be replaced by some easier and less vague language. Lisp, for example.

Sure, but you're still going to have to invent concepts in your language of choice to describe the situation. Unless you find something besides mathematical concepts to model the physical world, all you're going to do is change the syntax. Woohoo.

Actually, most of math is fantasy. When one says that reality is "continuous", one talks about his beliefs, not what one really knows.

I have no idea what you're saying or what point you're trying to get across.

And the whole modern science is build on a vague concept?

Yes. It's a giant conspiracy. All of science is wrong, and you are right. Science has secretly been plotting in the background, hoping you wouldn't notice. The electricity you're using to post doesn't actually exist, the chemicals used to make your the case of your computer are actually the bi-products of witchcraft, and if you look at a cellphone's '9' key on a rainy Saturday at 0613 GMT, you'll see a pentagram with an infinity symbol inside. This is symbolic of Nancy Grace's vagina, a.k.a The House of Nergal, a.k.a. Hell.

Why can't one go some other way, and devise Calculus without infinity? You don't need infinity to count physical quantities.

I'm fairly certain you actually can . Since you obsess over lame semantic bullshit, I'm surprised you didn't notice that I said 'useful', not 'necessary.'

>>38
Your whole post is an ad hominem. Arguing with you would be a waste of my time.

>>38
Seeing >>39, YHBT even more than I usually am. Congratulations.

Most people are bad at math. They just can't feel it's all encompassing Infinite God.

Programmer, when he misunderstands or dislikes some language, can pick an alternative, as there is a great choice of different languages, from Haskell to Smalltalk.

No so with math, which forcely holds evil monopoly on decscription of declarative knowledge.

What we really need now is a mathematical revolution and the fragmentation of the whole science body into language sects. Science needs its own PlayStation, Nintendo and X-Box fanboys.

>>41
Stop forcing your evil jewish math on programming.

>>42
Why? Are you afraid that God won't illuminate your path to mathematical knowledge?

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:1309516339 1309547112}

>>29
<-- check my doubles

>>39
...but it's alright, a-a-alright

                                                                                                   
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>>39,42



 _____                  __            __                                             
/\___ \                /\ \__        /\ \                                            
\/__/\ \  __  __   ____\ \ ,_\       \_\ \     __      ___     ___     __            
   _\ \ \/\ \/\ \ /',__\\ \ \/       /'_` \  /'__`\  /' _ `\  /'___\ /'__`\          
  /\ \_\ \ \ \_\ \\__, `\\ \ \_     /\ \L\ \/\ \L\.\_/\ \/\ \/\ \__//\  __/ __       
  \ \____/\ \____//\____/ \ \__\    \ \___,_\ \__/.\_\ \_\ \_\ \____\ \____\\ \      
   \/___/  \/___/ \/___/   \/__/     \/__,_ /\/__/\/_/\/_/\/_/\/____/\/____/ \/      
                                                                            \/       
                                                                                     

 ______   __    __   ___   ___       __                         __                         __    
/\__  _\ /\ \__/\ \ /\_ \ /\_ \     /\ \                       /\ \                       /\ \   
\/_/\ \/ \ \ ,_\ \/ \//\ \\//\ \    \ \ \____    __         ___\ \ \/'\      __     __  __\ \ \  
   \ \ \  \ \ \/\/    \ \ \ \ \ \    \ \ '__`\ /'__`\      / __`\ \ , <    /'__`\  /\ \/\ \\ \ \ 
    \_\ \__\ \ \_      \_\ \_\_\ \_   \ \ \L\ \\  __/     /\ \L\ \ \ \\`\ /\ \L\.\_\ \ \_\ \\ \_\
    /\_____\\ \__\     /\____\\____\   \ \_,__/ \____\    \ \____/\ \_\ \_\ \__/.\_\\/`____ \\/\_\
    \/_____/ \/__/     \/____//____/    \/___/ \/____/     \/___/  \/_/\/_/\/__/\/_/ `/___/> \\/_/
                                                                                        /\___/   
                                                                                        \/__/