[a / b / c / d / e / f / g / gif / h / hr / k / m / o / p / r / s / t / u / v / vg / vm / vmg / vr / vrpg / vst / w / wg] [i / ic] [r9k / s4s / vip] [cm / hm / lgbt / y] [3 / aco / adv / an / bant / biz / cgl / ck / co / diy / fa / fit / gd / hc / his / int / jp / lit / mlp / mu / n / news / out / po / pol / pw / qst / sci / soc / sp / tg / toy / trv / tv / vp / vt / wsg / wsr / x / xs] [Settings] [Search] [Mobile] [Home]
Board
Settings Mobile Home
/sci/ - Science & Math

Name
Options
Comment
Verification
4chan Pass users can bypass this verification. [Learn More] [Login]
File
  • Please read the Rules and FAQ before posting.
  • Additional supported file types are: PDF
  • Use with [math] tags for inline and [eqn] tags for block equations.
  • Right-click equations to view the source.

08/21/20New boards added: /vrpg/, /vmg/, /vst/ and /vm/
05/04/17New trial board added: /bant/ - International/Random
10/04/16New board for 4chan Pass users: /vip/ - Very Important Posts
[Hide] [Show All]


[Advertise on 4chan]


File: 1731533669027392.jpg (64 KB, 660x603)
64 KB
64 KB JPG
What did they do before calculus?
>>
>>16817838
They had sex. The amount of sexhaving in any given country negatively correlates with how much calculus is done.
>>
>>16817838
Precalculus
>>
>>16817838
A lot of infinite series stuff.
>>
Was calculus invented or discovered?
>>
>>16817893
Yes
>>
>>16817893

Discovered. It's math. No hemming and hawing about this, please, no trying to have it both ways by referring to axioms, notations, etc. All that math does is to reveal and explain logical states of affairs which are the case, and which persist in being the case independently of observation or appreciation by subjects.
>>
>>16817899
>Discovered. It's math
Msth is a human invention.
>>
>>16817903
God's invention, but I agree.
>>
>>16817880
so succubus
>>
>>16817838
>before calculus?
pre calculus
>>
>>16817893
Neither. It's fake.
>>
File: 1750370477348231.gif (435 KB, 220x257)
435 KB
435 KB GIF
I only do postcalculus
>>
File: IMG_3687.jpg (157 KB, 750x500)
157 KB
157 KB JPG
>>16817838
wonders.
calculus has people questioning whether they can when before calculus they just did
>>
>>16817899
what about dark energy thats math too
>>
>>16817893
Is a pattern discovered? Or is is made?
>>
>>16817893
what's the difference between invention and discovery? can you define it?
>>
>>16818145
something needs to be invented for it to be discovered
>>
>>16817880
They probably played with their wangs before calc took off.
When calc did take off they still chocked the chicken. But now also did some calculus in the meantime
For those engaged in intercourse, the matter of calculus being a thing was neither here or there
>>
I don't know any calculus. I play with my wang a lot.
>>
>>16817899
>All that math does is to reveal and explain logical states of affairs which are the case, and which persist in being the case independently of observation or appreciation by subjects.
Surely you have some mathematical proof of this fantasy of yours about some "independent state of affairs". Otherwise your statement is contingent upon your invention of such a thing. :^)
>>
File: archimed.png (246 KB, 1920x2080)
246 KB
246 KB PNG
>>16817838
>What did they do before calculus?
Calculus existed extremely early. When Archimedes calculated area of a circle, he used (and probably invented) the idea of limit. Which makes me think similar ideas could exist even before.
>>
>>16818411
>When Archimedes calculated area of a circle, he used (and probably invented) the idea of limit.
Not really. He just applied the intuition of a limit.
>>
>>16818413
thats like saying leibniz invented integrals and derivatives over newton because we use his notation
>>
>>16818460
No, it's like saying there's a difference between applying some intuition to a specific mathematical problem and actually formalizing the intuition to establish it as a mathematical concept.

The average IQ of 4chan is 80. There's no two ways about this. It's unusable.
>>
>>16818470
Formalization is a chore. Intuition is a gotcha. Notice that he got the correct formula.
>>
>>16818569
What I notice is that almost everyone here is indeed fucking retarded.
>>
>>16818571
How long did it take you to notice that everyone was indeed fucking you?
>>
File: brainlet-cube.png (185 KB, 567x502)
185 KB
185 KB PNG
>How long did it take you to notice that everyone was indeed fucking you?
>>
>>16817887
spbp
>>
File: 1737894668341056.jpg (146 KB, 600x748)
146 KB
146 KB JPG
>>16817838
Calculus might derive from the word for "small rocks" (calcs?).
So possibly the tradition before that was to use big rocks, or as I've taken to calling it: Rockalus, or sometimes, Rock n' Roll
>>
>>16818145
A discovery is something that exists in nature that is observed. An invention is something that is produced to either explain or measure the natural world (i.e. calculus) or to make our lives easier (i.e. valves).
>>
>>16818689
*eg, not i.e.
>>
>>16818689
>A discovery is something that exists in nature that is observed.
Name a (real) invention that doesn't exist in nature or hasn't been observed.
>>
>>16818698
Valves, painkillers, dishwashers, car engines.
>>
>>16818711
>Valves, painkillers, dishwashers, car engines.
>They don't exist in nature
Then what alternate metaphysical realm do they exist in?
>>
>>16818727
Stop with the chronic pedantry. They exist as a result of human ingenuity, not a naturally occurring phenomena.
Do you come onto /sci/ to willfully misinterpret things?
>>
>>16818739
>They exist as a result of human ingenuity, not a naturally occurring phenomena.
Name a human who wasn't a naturally occurring phenomenon and the invented something.
>>
>>16818680
Oh that's why there's always a stack of rocks on calculus books
>>
>>16818470
>the greeks invented pi because they made a symbol with 3 squiggly lines to represent it
>ketchup invented the red condiment because we associate their name with it
>>
File: 1760676733951.jpg (60 KB, 576x489)
60 KB
60 KB JPG
>>16817893
>Was calculus invented or discovered?
Was "invented or discovered" invented or discovered?
>>
>>16818411
That wasn't Archimedes, it was Eudoxus of Knidos building on the prior work of Bryson of Herakleia and Antiphon of Athens.
>>16818413
>>16818470
The method of exhaustion absolutely was formal, you stupid nigger. Why are you spouting shit on here when you have no clue what you're talking about?
>>
>>16817893
In essence, discovered. But the actual formalism around it was invented. Whether you want to formalize it the standard way, or through nonstandard analysis, or through any other formalism is up to you.
>>
>>16819054
>The method of exhaustion
If we're talking about a limit (as he did) that's an application of the intuition behind limits to solve a particular kind of problem. Just like I said. Either way, it's very clear that your mother should have been sterilized. The Feeble-minded Question demands an answer.
>>
>>16819186
You're a complete retard. Eudoxus constructed two monotonic sequences, one increasing which is bounded above, one decreasing which is bounded below, and showed by contradiction that they converge to the same number. This is a definition of a limit for those sequences.
Again, you evidently have no clue about any of this, so just fuck off back to whichever containment board you belong to.
>>
File: nobrain-niggermonkey.jpg (20 KB, 768x576)
20 KB
20 KB JPG
>X matches the definition of a limit for Y sequences
>that means it's the definition of a limit
His mother's cunt really should have been sterilized by the state. No two ways about it. Eugenics is moral, rational, necessary and coming soon.
>>
>>16819215
Hard to believe you're actually this deficient, but yes, restriction of a definition to a subclass is indeed a definition.
How frequently were you dropped as a child?
>>
>uhhhm sweaty?
>it's a definition
>therefore it's a definition of limits
His mother's cunt really should have been sterilized by the state. No two ways about it. Eugenics is moral, rational, necessary and coming soon.
>>
>>16819054
>That wasn't Archimedes, it was Eudoxus of Knidos building on the prior work of Bryson of Herakleia and Antiphon of Athens.
Amazing

>>16818571
>What I notice is that almost everyone here is indeed fucking retarded.
Yes, especially irritating their habit to randomly abuse surrounding people, induced by total misunderstanding of human behavior and increased by absence of impulse control.
>>
>>16819236
You're out of your depth here, /pol/monkey.
>>
>>16819278
Completely obvious projection.
>>
>>16818470
>there's a difference between applying some intuition to a specific mathematical problem and actually formalizing the intuition to establish it as a mathematical concept
/thread
Realizing this requires some basic theory of mind and metacognition, which the LARPing white trash here lacks. They can't tell that they're reading a modern abstraction into what becomes a specific instance of it only in retrospect. The instance just "is" the abstraction to them.
>>
>>16817838
Recurrence relations.
Calculus < Recurrence

before limit derivative was difference operator.
before limit integral was just a sum.
before differential equations there was difference equations.
Combination of discrete and continuous time dynamics is ultimate life form.
either Integro-Difference equations or delay differential equations.
>>
>>16817838
calculate velocity by hand
>>
>>16818711
>Valves
your heart & sphincter would like a word with you
>>
>>16818470
So unless your write an exhaustive thesis statement on your idea, you didn't come up with it?
>>
>Smoothbrains ITT think Newton and Leibniz made formal definitions of a limit despite the real numbers not yet having been defined.
>>
>>16817838
Algerbra and geometry.
>>
File: mathematics trench.jpg (235 KB, 1100x3300)
235 KB
235 KB JPG
>>16817838
>>
File: spuelbecken.jpg (38 KB, 728x491)
38 KB
38 KB JPG
Early methods of calculus-esque mathematics were all over the place and a thing, but it was just applied to very specific occasion and they never dug deeper and went on developing a formula for general cases as they didn't seem to care to explore it further

Thats just it, thats why it took us longer to "discover" calculus, though, humans already used early forms of integrals and early forms of limit-like differentiation of geometrical applications
>>
File: 1739170933546152.jpg (100 KB, 620x700)
100 KB
100 KB JPG
>>16817838
>What did they do before calculus?
Well that's just the crazy thing about it, Jerry. They didn't.
>>
>>16819530
>So unless your write an exhaustive thesis statement on your idea, you didn't come up with it?
Those early mathematicians did write "exhaustive" (or at least elaborate) theses about their ideas. The ideas just weren't nearly as general as the modern idea of a limit. It took a lot of groundwork to make the common intuition behind an assortment of limit-like mathematical arguments into a mathematical concept in and of itself. How are you retards getting filtered by this?
>>
>>16820304
It's the same kind of problem when you try to explain to a 90 IQ /pol/ intellectual why (e.g.) Aristotelian logic was a major intellectual leap and he'll keeps looping points like:
>ack-chually, I didn't need Aristotle to tell me that I either did or didn't eat breakfast!
>>
>>16819281
r u serious.
/thread
>>
>>16820316
Yeah, I'm serious. Most of you lack basic metacognition and are probably confused by what that even means.
>>
>>16820322
dubs
gay
>>
already chipping away at it with infinitesmals
>>
>>16817838
Guessus
>>
>>16818571
you lost tranny
>>
>>16818757
test tube status is gdpr protected information
>>
>>16817893
Depends on what you're referring to. Was the word "discovery" invented or discovered? The literal string of characters was obviously invented but the platonic form of "discovery" was discovered (or the mental processes describing it, if that's how you roll).
>>
>>16820449
>Was the word "discovery" invented or discovered
It was invented.
>>
>>16818093
discovered

its basically how we use MR IRL
>>
>>16818210
i can conceptualize up till linear algebra and calc 3 programmatically and know how to prompt what i need to solve non linear problems but if you gave me a problem i couldnt do squat im a vibe mathematician lol
>>
>>16820449
>The literal string of characters was obviously invented but the platonic form of "discovery" was discovered (or the mental processes describing it, if that's how you roll).
A concept is neither invented nor discovered. It forms gradually in the mind and solidifies through the very act of reflection.



[Advertise on 4chan]

Delete Post: [File Only] Style:
[Disable Mobile View / Use Desktop Site]

[Enable Mobile View / Use Mobile Site]

All trademarks and copyrights on this page are owned by their respective parties. Images uploaded are the responsibility of the Poster. Comments are owned by the Poster.