What did they do before calculus?
>>16817838They had sex. The amount of sexhaving in any given country negatively correlates with how much calculus is done.
>>16817838Precalculus
>>16817838A lot of infinite series stuff.
Was calculus invented or discovered?
>>16817893Yes
>>16817893Discovered. 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 mathMsth is a human invention.
>>16817903God's invention, but I agree.
>>16817880so succubus
>>16817838>before calculus?pre calculus
>>16817893Neither. It's fake.
I only do postcalculus
>>16817838wonders.calculus has people questioning whether they can when before calculus they just did
>>16817899what about dark energy thats math too
>>16817893Is a pattern discovered? Or is is made?
>>16817893what's the difference between invention and discovery? can you define it?
>>16818145something needs to be invented for it to be discovered
>>16817880They 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 meantimeFor 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. :^)
>>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.
>>16818413thats like saying leibniz invented integrals and derivatives over newton because we use his notation
>>16818460No, 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.
>>16818470Formalization is a chore. Intuition is a gotcha. Notice that he got the correct formula.
>>16818569What I notice is that almost everyone here is indeed fucking retarded.
>>16818571How long did it take you to notice that everyone was indeed fucking you?
>How long did it take you to notice that everyone was indeed fucking you?
>>16817887spbp
>>16817838Calculus 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
>>16818145A 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.
>>16818698Valves, painkillers, dishwashers, car engines.
>>16818711>Valves, painkillers, dishwashers, car engines.>They don't exist in natureThen what alternate metaphysical realm do they exist in?
>>16818727Stop 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.
>>16818680Oh 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
>>16817893>Was calculus invented or discovered?Was "invented or discovered" invented or discovered?
>>16818411That wasn't Archimedes, it was Eudoxus of Knidos building on the prior work of Bryson of Herakleia and Antiphon of Athens.>>16818413>>16818470The 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?
>>16817893In 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 exhaustionIf 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.
>>16819186You'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.
>X matches the definition of a limit for Y sequences>that means it's the definition of a limitHis mother's cunt really should have been sterilized by the state. No two ways about it. Eugenics is moral, rational, necessary and coming soon.
>>16819215Hard 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 limitsHis 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.
>>16819236You're out of your depth here, /pol/monkey.
>>16819278Completely 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/threadRealizing 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.
>>16817838Recurrence relations. Calculus < Recurrencebefore 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.
>>16817838calculate velocity by hand
>>16818711>Valvesyour heart & sphincter would like a word with you
>>16818470So 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.
>>16817838Algerbra and geometry.
>>16817838
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 furtherThats 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
>>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?
>>16820304It'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!
>>16819281r u serious. /thread
>>16820316Yeah, I'm serious. Most of you lack basic metacognition and are probably confused by what that even means.
>>16820322dubsgay
already chipping away at it with infinitesmals
>>16817838Guessus
>>16818571you lost tranny
>>16818757test tube status is gdpr protected information
>>16817893Depends 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 discoveredIt was invented.
>>16818093discovered its basically how we use MR IRL
>>16818210i 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.