Which infinity is the biggest infinity?

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    • #186148
      Anonymous
      Guest

      >Some infinities are bigger than other infinities
      But which one is the biggest infinity?

    • #186149
      Anonymous
      Guest

      the number when your mom steps on the scale

    • #186150
      Anonymous
      Guest

      ∞^∞

    • #186151
      Anonymous
      Guest

      The Lord.

      • #186153
        Anonymous
        Guest

        1/0
        Correct. He doesn’t exist.

      • #186159
        Anonymous
        Guest

        woke af church kleene ordinal

        • #186170
          Anonymous
          Guest

          What about the Church Kleene ordinal relativized to [math]0^{sharp}[/math]?

      • #186291
        Anonymous
        Guest

        >faithful remilia poster
        Bless you.

    • #186152
      Anonymous
      Guest

      the set of all infinities

      • #186212
        Anonymous
        Guest

        […]

        You can still +1 on the bigger one. It doesn’t exist, same as the smallest number.

        • #186284
          Anonymous
          Guest

          but that set will by definition include all those.

    • #186162
      Anonymous
      Guest

      There is no biggest infinity, in the same way that there is no biggest natural number.
      You can go with aleph(aleph(aleph(aleph(aleph(…))))) forever.

    • #186163
      Anonymous
      Guest

      feet

    • #186165
      Anonymous
      Guest

      >>Some infinities are bigger than other infinities
      Nope.

      • #186166
        Anonymous
        Guest

        >>Some infinities are bigger than other infinities
        Yup.
        >>What is mafs

      • #186172
        Anonymous
        Guest

        yes, scrotebrain. Imagine two signals, just recurring beeps, that go on forever. One beeps every minute forever, one beeps every second forever. They’re both infinite but the latter is clearly many times more beeps.

        • #186175
          Anonymous
          Guest

          You are literally wrong. The number of natural numbers divisible by 60 is equal to the number of natural numbers.
          X = {x | x = 60n for n e N}
          It’s not hard to see how this is a bijection, and therefore proves that X and N have the same cardinality.

        • #186176
          Anonymous
          Guest

          >steel is heavier than feathers

          • #186177
            Anonymous
            Guest

            Is an infinite amount of steel heavier then an infinite amount of feathers?

            • #186186
              Anonymous
              Guest

              No

    • #186171
      Anonymous
      Guest
    • #186174
      Anonymous
      Guest

      My infinity is bigger than your infinity, true for all (you’s)

    • #186178
      Anonymous
      Guest

      "Some infinites are bigger than other infinites".

      That’s false.

      What sense does it make to say one infinity is larger than another? To be infinite is to have no maximum. There is no larger "No maximum".

      Lets pretend we have two bags that can hold infinitely many objects. You’ve somehow managed to convince yourself that you can fill up one of those bags then empty it and fail to fill up the second bag with the emptied objects. That’s not how ‘infinite’ works.

      • #186179
        Anonymous
        Guest

        imagine all the counting numbers-1, 2, 3, 4, etc. that’s infinity type one Imagine a bag that can hold all of them.

        now let’s imagine infinity type 2-that’s all the fractions between all the numbers. using only the fractions between 0 and 1, i can fill up that first bag of type one infinity, and still have all the other infinite fractions between the other numbers to go.

        • #186182
          Anonymous
          Guest

          You can’t "fill up" a bag that has no maximum of how much it can hold. If you’re claiming to have "filled up" the bag then the implication is that there was a "last" piece of space that got filled and there’s not. What you’re doing is dishonest manipulation of words.

          There is ALWAYS space left over in bag that has no maximum of how much it can hold. You can always fit more in.

          • #186183
            Anonymous
            Guest

            you’re clinging to the semantics of this thought experiment very tightly right now and it’s not a great look-the fact is that i can match every single number in the naturals with a fraction between 0 and 1. The "bag" is clearly not a real thing, it’s just a metaphor I went ahead and invoked since you brought it up.

            Do you think that the cardinality of all the fractions is the same as the naturals? Because ot me that seems totally nonsensical given how simple the matching counter-example is.

            • #186185
              Anonymous
              Guest

              Lets imagine you pick a random number from the set of real numbers and one from the natrual numbers and swap them. The implication is that you’ll "run out" of natrual numbers before you’re able to swap the two sets.

              Ask yourself: " Does this make sense? "

              The answer is no.

              There is always another natrual number.

              You can’t "run out"

              • #186187
                Anonymous
                Guest

                can i match every single natural number with a fraction between 0 and 1?

                • #186191
                  Anonymous
                  Guest

                  This is the bullshit trickery i’m talking about. You can manipulate how you "match" numbers. Can i "match" fractions between 0 and 1 with only natrual numbers that start and end with one with only zeros between them?

                  101 1001 10001 then 202 2002 20002 then 3 and so on.

                  You can contruct infinitely many "unique" natural numbers using words and "match" them however you want.

                  • #186192
                    Anonymous
                    Guest

                    you haven’t answered the question though

                    • #186195
                      Anonymous
                      Guest

                      I did. I said you can contruct infinitely many sets of unique natural numbers and match them however you want.

                      You can match fractions from 0 to 1 with 1234… or 10,1001… or 12012, 120012.. or 707,7007… or 121,1221.. etc. So what?

              • #186189
                Anonymous
                Guest

                >"run out"
                hand waving intensifies

      • #186181
        Anonymous
        Guest
      • #186184
        Anonymous
        Guest
      • #186188
        Anonymous
        Guest
      • #186190
        Anonymous
        Guest

        >To be infinite is to have no maximum. There is no larger "No maximum"
        >To be a banana is to be yellow. There is no larger "Yellow"

        • #186193
          Anonymous
          Guest

          >To be a banana is to be yellow. There is no larger "Yellow"

          Incoherent babble

          • #186194
            Anonymous
            Guest

            just as
            >To be infinite is to have no maximum. There is no larger "No maximum"

            • #186196
              Anonymous
              Guest

              Is there a maximum natrual number.

              I only want a yes or no.

              • #186197
                Anonymous
                Guest

                No

                • #186198
                  Anonymous
                  Guest

                  So there is "no maximum"? Right?

                  • #186199
                    Anonymous
                    Guest

                    maximum of what?

                    • #186200
                      Anonymous
                      Guest

                      Maximum number of times you will take the bait.

                    • #186202
                      Anonymous
                      Guest

                      There is not "last" element you bafoon.

                      You can’t "run out" of natural numbers.

                      You can create infinitely many sets of unique natrual numbers and then create more unique natural numbers with that set then infinitely many more with the new sets

                      • #186203
                        Anonymous
                        Guest

                        so?

                      • #186204
                        Anonymous
                        Guest

                        "So?"

                        Huh?

                      • #186205
                        Anonymous
                        Guest

                        how is that relevant to some infinities being larger than other infinities

                      • #186206
                        Anonymous
                        Guest

                        Because some infinites aren’t larger than other infinities otherwise they’re not really infinite.

                      • #186207
                        Anonymous
                        Guest

                        Lol. Then why can’t you map the reals onto the integers, you giant scrote?

                      • #186209
                        Anonymous
                        Guest

                        I don’t have to map shit you freaking idiot.

                        Infinite is infinite. It doesn’t if you can play wome word games that lead to confusion.

                      • #186210
                        Anonymous
                        Guest

                        >I don’t have to map shit
                        Yes, you do. If we’re talking about identical amounts, there is a one-to-one mapping.

                      • #186211
                        Anonymous
                        Guest

                        >I don’t have to map shit
                        how else would you compare two amounts?

                      • #186213
                        Anonymous
                        Guest

                        We’re not comparing " 2 amounts" we’re comparing infinities.

                        With just 101,1001, i can create infitley many sets of infinite natrual numbers. Where the fuck do you "run out"?

                        101 then leads to 1010101, 10100101, then 1010010010100101 and so on. You literally can’t run out. The numbers inbetween can literally be any number. You’d have to be a complete moron to think there are somehow "less" natrual numbers than real numbers.

                      • #186214
                        Anonymous
                        Guest

                        >We’re not comparing " 2 amounts" we’re comparing infinities.
                        Since you reject the normal method of comparison, by what token can you compare infinities, you scrote?

                      • #186215
                        Anonymous
                        Guest

                        You can’t "compare" infinites you freaking moron. You can’t ask " these two bags have no maximum item limit, which one has a higher maximum limit?

                        Imagine we stack cubes. For every natrual number we add one cube and the same for every real number. The implication is the one tower will be taller than the other.

                      • #186216
                        Anonymous
                        Guest

                        >You can’t "compare" infinites
                        Then why are you telling me all infinities are the same?

                      • #186217
                        Anonymous
                        Guest

                        Because something is the same as itself you scrotebrain.

                        Is 5 the same as 5? Are there 5s that are bigger than other 5s?

                      • #186218
                        Anonymous
                        Guest

                        How do you know the size of the set of the natural numbers, and the size of the set of the real numbers, is the same? Calling both of them "infinity" doesn’t prove it, scrotelord.

                      • #186220
                        Anonymous
                        Guest

                        Does how you "choose" to "map" infinites
                        Affect the results you get?

                      • #186221
                        Anonymous
                        Guest

                        Why are you deflecting? I asked you a question: how do you know the size of the set of the natural numbers, and the size of the set of the real numbers, is the same? By what rule do you determine their equality?

                      • #186222
                        Anonymous
                        Guest

                        By the fact that you can’t "run out" of natrual numbers. Either you can run out of them or can’t. Which is it?

                        You can’t run out of natrual numbers and tou can’t run out of real numbers therefore there’s not "more" of one than the other.

                      • #186224
                        Anonymous
                        Guest

                        >By the fact that you can’t "run out" of natrual numbers
                        I didn’t say anything about "running out" of anything.

                        >You can’t run out of natrual numbers and tou can’t run out of real numbers
                        So what? Why does that constitute "equality"?

                      • #186226
                        Anonymous
                        Guest

                        what sense does it make to ask about the equality of objects that can have no end?

                        Answer my question and i’ll be done. Is a tower stacked with natural numbers "shorter" than a tower stacked with real numbers? One block for every element in the sets.

                      • #186229
                        Anonymous
                        Guest

                        >what sense does it make to ask about the equality of objects that can have no end?
                        So are you saying the sizes of infinite sets can’t be compared at all, or that the sizes of all infinite sets are equal?

                      • #186231
                        Anonymous
                        Guest

                        Yes

                      • #186232
                        Anonymous
                        Guest

                        So which one is it, scrote? Are they equal, or are they incomparable? These two positions are mutually exclusive by definition.

                      • #186233
                        Anonymous
                        Guest

                        I answer aftwr you answer my question

                        >Is a tower stacked with natural numbers "shorter" than a tower stacked with real numbers? One block for every element in the sets.

                        Answer

                      • #186235
                        Anonymous
                        Guest

                        The answer is a trivial ‘no’. What does it have to do with anything? No one is defining equality in terms of the heights of towers of blocks, scrotelord.

                      • #186237
                        Anonymous
                        Guest

                        >no

                        There you go.

                        I’m done here

                      • #186238
                        Anonymous
                        Guest

                        Yes, you’ve proven that comparing the heights of blocks of towers doesn’t work when the height is undefined. Well-done refuting your own scrotebrained idea.

                      • #186239
                        Anonymous
                        Guest

                        Yes, it’s shorter.

                      • #186240
                        Anonymous
                        Guest

                        Sounds like you’re every bit as scrotebrained as him.

                      • #186241
                        Anonymous
                        Guest

                        >I have no argument

                      • #186242
                        Anonymous
                        Guest

                        >comparing the sums of divergent series

                      • #186243
                        Anonymous
                        Guest

                        who is comparing sums of divergent series?

                      • #186244
                        Anonymous
                        Guest

                        scrotebrains talking about the heights of towers made up from infinite blocks.

                      • #186245
                        Anonymous
                        Guest

                        the heights are not well defined, but one can say that the real number tower is higher than the natural number tower

                      • #186249
                        Anonymous
                        Guest

                        >divergent series have no defined sums, but we can say that the sum of one divergent series is larger than the sum of another

                      • #186250
                        Anonymous
                        Guest

                        why are you still talking about divergent series?

                      • #186252
                        Anonymous
                        Guest

                        scrotebrains talking about the heights of towers made up from infinite blocks. You’re clearly mentally ill.

                      • #186253
                        Anonymous
                        Guest

                        I’ve told you. The heights are not well defined, but that doesn’t mean one cannot says that one tower is higher.

                      • #186254
                        Anonymous
                        Guest

                        >The heights are not well defined
                        Then what do your imaginary comparisons have to do with mathematics?

                      • #186255
                        Anonymous
                        Guest

                        Everything

                      • #186256
                        Anonymous
                        Guest

                        Mathematics doesn’t deal with things that are "not well defined". Sorry.

                      • #186257
                        Anonymous
                        Guest

                        That’s what I’ve said. The height is not well defined.

                      • #186258
                        Anonymous
                        Guest

                        >my infinite towers analogies have nothing to do with mathematics
                        Okay. Glad we have that settled.

                      • #186259
                        Anonymous
                        Guest

                        yes, it does. one tower is higher than the other.

                      • #186260
                        Anonymous
                        Guest

                        >one tower is higher than the other in my imaginary schizo universe that has nothing to do with mathematics
                        Yes, glad we agree on everything.

                      • #186261
                        Anonymous
                        Guest

                        no, one tower is higher than the other in a perfectly valid mathematical sense.

                      • #186262
                        Anonymous
                        Guest

                        >i’m a mouth-breathing imbecile
                        Yes, that’s exactly what I’m saying. Thanks. We can end this discussion here.

                      • #186263
                        Anonymous
                        Guest

                        why are you resorting to insults?

                      • #186264
                        Anonymous
                        Guest

                        Not an argument.

                      • #186265
                        Anonymous
                        Guest

                        >>i’m a mouth-breathing imbecile
                        >Yes, that’s exactly what I’m saying. Thanks. We can end this discussion here.
                        is an argument?

                      • #186266
                        Anonymous
                        Guest

                        Still not an argument. Sorry. Can you come up with a decent argument next time?

                      • #186267
                        Anonymous
                        Guest

                        I have plenty of arguments. it’s impossible to present them when you keep shoving words into my mouth though.

                      • #186268
                        Anonymous
                        Guest

                        Nope, that was still not an argument. I guess you just don’t want to have a courteous and civilized discussion.

                      • #186269
                        Anonymous
                        Guest

                        >I guess you just don’t want to have a courteous and civilized discussion.

                        >Sounds like you’re every bit as scrotebrained as him.
                        >You’re clearly mentally ill
                        >>i’m a mouth-breathing imbecile
                        :^)

                      • #186270
                        Anonymous
                        Guest

                        Was that an argument? I don’t think so. Too bad, I really wanted to have a civilized discussion with you.

                      • #186271
                        Anonymous
                        Guest

                        then why did you insult me without any reason?

                      • #186272
                        Anonymous
                        Guest

                        Nope, that’s not an argument, either. I’ll be here when you’re ready to engage in the discussion like a big boy instead of indulging in personal drama.

                      • #186273
                        Anonymous
                        Guest

                        I am. just stop insulting me and shoving words into my mouth.

                      • #186274
                        Anonymous
                        Guest

                        That was not an argument, nonny.

                      • #186275
                        Anonymous
                        Guest

                        of course not. why should I give you any argument when you clearly don’t want to hear it?

                      • #186276
                        Anonymous
                        Guest

                        >why should I give you any argument
                        See? You’re not a rational or civilized person at all.

                      • #186277
                        Anonymous
                        Guest

                        >You’re a rational or civilized person
                        thank you 🙂

                      • #186278
                        Anonymous
                        Guest

                        That’s not an argument, either.

                      • #186279
                        Anonymous
                        Guest

                        >That’s an argument
                        I don’t think it is, but thanks for finally agreeing with me

                      • #186281
                        Anonymous
                        Guest

                        Nope. Still not an argument.

                      • #186282
                        Anonymous
                        Guest

                        >Yes. Still an argument.
                        stop it, you’ve already acknowledged that you were wrong

                      • #186283
                        Anonymous
                        Guest

                        >i’ve already acknowledged that i breathe through my mouth
                        ok

                      • #186285
                        Anonymous
                        Guest

                        >ok
                        thanks

                      • #186225
                        Anonymous
                        Guest

                        do you compare numbers by the fact that you can run out? 4=5 because both run out?

                      • #186227
                        Anonymous
                        Guest

                        You could say that x>y if you "run out" of y first, x<y if you "run out" of x first, and x=y if you "run out" of both simultaneously. Unfortunately, that doesn’t work for infinite sets, because you don’t run out of anything and the guy is a giant scrote.

                      • #186228
                        Anonymous
                        Guest

                        Yes. The fact that they run out is very important. I can ask if i can run out of one before the other to compare them. If i run out of one before the other i know its ‘less’

                      • #186230
                        Anonymous
                        Guest

                        That’s nice, but how do I know they’re equal using your "running out" system, scrotelord?

                      • #186236
                        Anonymous
                        Guest

                        >. I can ask if i can run out of one before the other to compare them. If i run out of one before the other i know its ‘less’
                        this is extra condition. why do you not allow extra conditions for infinite sets?

                      • #186223
                        Anonymous
                        Guest

                        >I’m gonna pretend the quantification is universal instead of existential to derive contradiction

                      • #186219
                        Anonymous
                        Guest

                        infinity is an amount

                      • #186208
                        Anonymous
                        Guest

                        prove it

    • #186180
      Anonymous
      Guest

      100

    • #186201
      Anonymous
      Guest

      Are there any practical uses of infinity? I know you can use algebra, trigonometry, calculus in the real world for calculations but what would you use infinity for?

    • #186234
      Anonymous
      Guest

      Real numbers were a mistake, take the wildberger pill.

      • #186247
        Anonymous
        Guest

        woke af

    • #186246
      Anonymous
      Guest

      […]

      This deserves special attention because Cantor is the biggest meme on the planet. Mathematicians really wanted real numbers to work out so they listened to a literal schizo. Here is a quote from him:
      """
      I have never proceeded from any Genus supremum of the actual infinite. Quite the contrary, I have rigorously proved that there is absolutely no Genus supremum of the actual infinite. What surpasses all that is finite and transfinite is no Genus; it is the single, completely individual unity in which everything is included, which includes the Absolute, incomprehensible to the human understanding. This is the Actus Purissimus, which by many is called God.
      I am so in favor of the actual infinite that instead of admitting that Nature abhors it, as is commonly said, I hold that Nature makes frequent use of it everywhere, in order to show more effectively the perfections of its Author. Thus I believe that there is no part of matter which is not — I do not say divisible — but actually divisible; and consequently the least particle ought to be considered as a world full of an infinity of different creatures.
      """

      This is clearly not from a man who is mentally well. Even with 21st century technology, nature doesn’t really have an infinities we can definitely prove. Meanwhile, this lunatic in the 19th century was claiming that there is infinity everywhere in nature.
      Aristotle was correct; there are only potential infinities, not """actual infinities""".

      • #186289
        Anonymous
        Guest

        npc’s fingers wrote this.

        • #186292
          Anonymous
          Guest

          >uses the most generic wojak on the planet
          >calls someone else an npc
          this is pure, undiluted cope. also, an npc believes whatever else everyone else believes. since most mathematicians (and I’d even say most lay people), consider the set of natural numbers to be a valid mathematical object, your response doesn’t even make sense.

      • #186290
        Anonymous
        Guest

        >Aristotle was correct; there are only potential infinities, not """actual infinities""".
        this is like Einstein’s quote about either everything being a miracle or nothing being a miracle

    • #186248
      Anonymous
      Guest

      […]

      woke af

    • #186251
      Anonymous
      Guest
    • #186280
      Anonymous
      Guest

      […]

      […]
      This deserves special attention because Cantor is the biggest meme on the planet. Mathematicians really wanted real numbers to work out so they listened to a literal schizo. Here is a quote from him:
      """
      I have never proceeded from any Genus supremum of the actual infinite. Quite the contrary, I have rigorously proved that there is absolutely no Genus supremum of the actual infinite. What surpasses all that is finite and transfinite is no Genus; it is the single, completely individual unity in which everything is included, which includes the Absolute, incomprehensible to the human understanding. This is the Actus Purissimus, which by many is called God.
      I am so in favor of the actual infinite that instead of admitting that Nature abhors it, as is commonly said, I hold that Nature makes frequent use of it everywhere, in order to show more effectively the perfections of its Author. Thus I believe that there is no part of matter which is not — I do not say divisible — but actually divisible; and consequently the least particle ought to be considered as a world full of an infinity of different creatures.
      """

      This is clearly not from a man who is mentally well. Even with 21st century technology, nature doesn’t really have an infinities we can definitely prove. Meanwhile, this lunatic in the 19th century was claiming that there is infinity everywhere in nature.
      Aristotle was correct; there are only potential infinities, not """actual infinities""".

      Blow it out your ass Wildberger cuck.

      • #186286
        Anonymous
        Guest

        seething

    • #186287
      El Arcón
      Guest

      I am the biggest one.

      • #186288
        Anonymous
        Guest

        The question wasn’t who the biggest scrote ITT is.

    • #186293
      Anonymous
      Guest

      >>Some infinities are bigger than other infinities
      complete and utter schizophrenia.
      Hitomi theory solves all of this.

    • #186294
      Anonymous
      Guest

      […]

      woke af and Cantor-Schroder-Bernsteinpilled, also witnessed

    • #186295
      Anonymous
      Guest
    • #186296
      Anonymous
      Guest

      >all the screeching wildbergers itt
      get a life fucktards

    • #186297
      Anonymous
      Guest

      >Some infinities are bigger than other infinities
      this is false, there is only one infinity
      if you subtract infinity by 1 it’s not infinity anymore, it’s "infinity minus 1"
      if you add 1 to infinity it’s not infinity anymore, it’s "infinity plus 1"

      • #186298
        Anonymous
        Guest

        Are three infinities bigger than two infinities? What about infinite infinities?

        • #186299
          Anonymous
          Guest

          If [math]infty := frac{1}{0}[/math] then [math]+infty = -infty[/math]
          From there it can trivially be shown that [math]2*infty = infty + infty = infty – infty = 0[/math]
          Likewise, [math]3 * infty = 2( infty) + 1 ( infty) = 0 + infty = infty[/math], meaning odd multiples of infinity are infinity and even multiples are zero.

          Since [math]infty[/math] is even, [math]infty * infty = 0[/math]
          This is irrefutable.

    • #186300
      Anonymous
      Guest

      >the biggest infinity?
      tRump’s lies

    • #186301
      theonemirror reflectsitself
      Guest

      Since a subset of an infinite set is infinite:
      Let the subset be human consciousness:
      therefore, freewill exists

      Infinite choice offers infinite chosen, even if the choice is predetermined

    • #186302
      Anonymous
      Guest

      The fifth one

    • #186303
      Anonymous
      Guest

      Isn’t the positive infinite bigger than the negative infinite due to the fact that zero is part of the positive infinite? In case I might be wrong correct me.

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