View Poll Results: Is 0.999... exactly equal to one?

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  • Yes, they are equal.

    40 56.34%
  • No, they are not equal.

    31 43.66%
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Thread: Is 0.999... equal to one?

  1. #4981
    Senior Member john_gabriel's Avatar
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    Default Cantor's Delusions - Part 4: Cantor discovers EQUAL infinities!

    I love pictures that literally speak 1000 words. Since most of the morons on this site don't understand English, I thought it might be useful to draw some pictures.

    In the following JPEG, our delusional mathematician Cantor discovers equal infinities.

    The red, orange and blue lines in the following jpeg, have length.

    Delusion4.jpg

    Written as intervals:

    (0, l_1)
    (0, l_2)
    (0, l_3)

    and none of the lengths are equal.

    Cantor tells us that all these intervals (sets) are equipollent in terms of cardinality.

    Eureka! I have discovered equal infinities! - Georg Cantoredes.



    I realize that a lot of you are extremely dim, so I'll provide a guide in the form of questions for you:

    1. Do you think that the "number of points" is a meaningful idea in any non-finite context?
    2. The points correspond to magnitudes. Can we say that the longer lines contain more magnitudes that can be measured?
    3. Do all the points actually have a one-to-one correspondence from one line to the others?
    4. Cardinality of finite sets is well defined. Can infinity be a cardinal number?
    5. Since we can say nothing about infinite sets, it follows that we can deduce much regarding the cardinality of the infinite sets. This is sophistry. True or False?

    Assess your level of intelligence:

    0 correct answers: Dunce (or Cantor!)
    1 correct answer: Moron
    2 correct answers: Primate
    3 correct answers: Average
    4 correct answers: Promising
    5 correct answers: John Gabriel is impressed!

    Keep an eye open for the next exciting lesson on Cantor's delusions!
    Last edited by john_gabriel; 01-26-2014 at 07:08 AM.
    The more I publish the truth, the more society hates me.
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  2. #4982
    Senior Member john_gabriel's Avatar
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    Default Cantor's Delusions - Part 5: God reveals the transfinite numbers to Cantor!

    I love pictures that literally speak 1000 words. Since most of the morons on this site don't understand English, I thought it might be useful to draw some pictures.

    In the following JPEG, our delusional mathematician Cantor claims a revelation about the absolute infinite from which he is led to discover the transfinite numbers.

    Cantor concludes there is only one countable infinity, that is, aleph0, but uncountably many countably infinite ordinals, viz. w, w+1, w+2, ...

    He declares aleph0 (standard infinity) to be the first transfinite number.

    Definition of Absolute Infinity:
    Absolute Infinity is Georg Cantor's idiotic concept of an "infinity" that transcends the transfinite numbers. Cantor equated the Absolute Infinite with God.

    The transfinites are the pinnacle of Cantor's delusions. Cantor arrives at a conclusion regarding finite power sets, and erroneously applies the conclusion to infinite sets that don't exist!

    Delusion5.jpg

    I realize that a lot of you are extremely dim, so I'll provide a guide in the form of questions for you:

    1. An infinite set cannot be reified, therefore it is logical to conclude that it exists. True or False?
    2. The power set of a set with 2 elements has less members than the power set of a set with 9 elements. Does this mean that the power sets of smaller infinite sets will be smaller than those power sets of larger infinite sets?
    3. It is perfectly logical in mathematics to define Absolute Infinity as a sound mathematical concept depending on a non-verifiable object that Cantor called "God". True or False?
    4. Is infinity plus 1 well defined in any context?
    5. It took Cantor 20 years until God revealed the transfinite numbers to him. Was this an excuse to influence those zealous theists of his day that Cantor's delusions are true?

    Assess your level of intelligence:

    0 correct answers: Dunce (or Cantor!)
    1 correct answer: Moron
    2 correct answers: Primate
    3 correct answers: Average
    4 correct answers: Promising
    5 correct answers: John Gabriel is impressed!

    This was the final in a series of 5 parts on Cantor's delusions. I trust you have enjoyed the lessons!
    The more I publish the truth, the more society hates me.
    There is no sympathy for those who oppose mainstream ideas - true or not.

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  3. #4983
    Senior Member john_gabriel's Avatar
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    Default Epilogue on Cantor's Delusions.

    The Wikipedia Moronica has this to say:

    Cantor's theory of transfinite numbers was originally regarded as so counter-intuitive – even shocking – that it encountered resistance from mathematical contemporaries such as Leopold Kronecker and Henri Poincaré and later from Hermann Weyl and L. E. J. Brouwer, while Ludwig Wittgenstein raised philosophical objections.

    Kronecker and Poincaré were both respectable mathematicians of their time. Well, I don't know if they were mathematicians for certain, because in my opinion, possessing a PhD in mathematics does not entitle one to be called a mathematician. Anyway, this is what they had to say:

    Poincaré: Cantor's ideas are a "grave disease" infecting the discipline of mathematics.

    Kronecker(Jewish): Cantor is a "scientific charlatan", a "renegade" and a "corrupter of youth."

    Wittgenstein (philosophy PhD and most qualified to judge Cantor's anti-mathematical rot): ... lamented that mathematics is "ridden through and through with the pernicious idioms of set theory," which he dismissed as "utter nonsense" that is "laughable" and "wrong".

    Mathematicians such as Brouwer and especially Poincaré adopted an intuitionist stance against Cantor's work. Citing the paradoxes of set theory as an example of its fundamentally flawed nature, Poincaré held that "most of the ideas of Cantorian set theory should be banished from mathematics once and for all."


    Poincaré was correct. It's too bad that idiots the likes of Hilbert decided to do exactly the opposite.

    What I would really like to do now, is not remove the morons from Cantor's delusional paradise, I would like to shove them all in as far as one can, lock the gate, and throw the key away! Let them stay in their delusions.

    But for the sake of future generations, we need to deCantorize mathematics. Cantor's delusional ideas are the MIV (Mathematics immunity virus).

    If I had a dollar for each worthless dissertation on number and set theory today, I would be a multi-millionaire.

    While finite sets are useful, these ideas did not originate with Cantor. I am so weary of anything Cantor, that I would want to erase his name and memory entirely from mathematics where it never belonged.

    I don't have anything personal against Cantor's memory, but I absolutely loathe what his ideas have done to mathematics. Rot in its purest form are the theories of Cantor.
    The more I publish the truth, the more society hates me.
    There is no sympathy for those who oppose mainstream ideas - true or not.

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    Default Re: ACTA Mathematica turns down offer to publish my papers. - 2012.

    Quote Originally Posted by astrotech View Post
    Maybe he should submit to a Chinese math journal? Surely they won't repress non jewish math.
    It wouldn't have to be Chinese, just the right sort of journal.

  5. #4985
    Senior Member caper's Avatar
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    Default Re: ACTA Mathematica turns down offer to publish my papers. - 2012.

    Quote Originally Posted by john_gabriel View Post
    you must be one of the academic clique.
    You bet. If you aren't in "the club" ... just like every other organization, sports teams, etc...
    john_gabriel likes this.
    "I'm trying to free your mind, Neo. But I can only show you the door. You're the one that has to walk through it. " -Morpheus

  6. #4986
    Senior Member john_gabriel's Avatar
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    Default Re: ACTA Mathematica turns down offer to publish my papers. - 2012.

    Quote Originally Posted by Yuspoov View Post
    It wouldn't have to be Chinese, just the right sort of journal.
    I see you managed to crank out 5 comments since you joined. So far, none of them are related to the thread topic. A friend of astrodunce? Yep. More idiots donating their off-topic two cents worth.
    The more I publish the truth, the more society hates me.
    There is no sympathy for those who oppose mainstream ideas - true or not.

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  7. #4987
    Senior Member caper's Avatar
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    Default Re: ACTA Mathematica turns down offer to publish my papers. - 2012.

    clearly an alias to troll under. "The obvious troll is obvious"
    john_gabriel likes this.
    "I'm trying to free your mind, Neo. But I can only show you the door. You're the one that has to walk through it. " -Morpheus

  8. #4988
    Senior Member john_gabriel's Avatar
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    Default The end of the matter.

    Let's take a few steps back and think about this entire debate. In my mind there was never any doubt the equality is false, but being open minded as I am, I always left a tiny escape hatchet. After all, I did not wish to find myself among that group who had the wool pulled over their eyes.

    Since 2000, I have debated the topic on some very large forums. You will find a major Wikipedia Moronica debate in its archives (I was participating as an Anon then because I had not made up my mind) between a user called Rasmus (Norwegian I think?) and me.

    That debate revolved around complex mathematics that included inequalities, real numbers and the Archimedean property. I tired of the debate in the end, after I had repeatedly refuted their wrong assertions and left, leaving them to their ignorance. What I learned from that debate was that Wikipedia is run by their math gods (Arthur Rubin and Michael Hardy - both math PhDs). Bias in knowledge is very real.

    I decided not to participate in a debate on this topic again, until I had irrefutable proof. Although my arguments in the Moronica debate were sound, they were not mathematical "enough" for the academic bourgeoisie. I spent more time developing the New Calculus because I was convinced that Newton, Leibniz and Cauchy are wrong. I told myself that if I could formulate calculus without limits, infinitesimals or any other ill-formed concepts, I would accomplish what no one else could in the history of man. So my efforts were focused on undoing the damage of the past 300 years. Impossible is not a word in my vocabulary. But the expressions well-defined and well-formed are at the core of my ideas.

    Knowledge must essentially be so simple that even an idiot can understand it. My first encounter with calculus convinced me that it was flawed.

    But before I stray too much off the topic, I decided to debate it one last time here on STATU. One should ask oneself why it is that this topic still rages on. It is far from settled or established knowledge. In this debate I have produced overwhelming evidence that the idea is wrong. I have shown beyond doubt that the Eulerian blunder is the original source of this fallacy. To be sure, quite a few ignorant mathematicians helped lead Euler to this flawed definition and incoherent way of thinking.

    This thread is a model for those wanting to debunk all the purported "proofs" surrounding the fallacy that 0.999... and 1 are the same. But there is much, much more knowledge in this thread that can dispel many of the wrong concepts you were taught by your ignorant and incompetent "educators".
    astromark and caper like this.
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    There is no sympathy for those who oppose mainstream ideas - true or not.

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  9. #4989
    Senior Member john_gabriel's Avatar
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    Default Cantor's Diagonal Argument a fraud.

    In this comment I lay to rest Cantor's diagonal argument for good.

    In my debate with Mark Chu Carroll, I was banned before I could even get this far.

    There is not a single proof that the Diagonal Argument is in fact true. Nowhere on the internet or anywhere else.

    The argument originally states that the set of "real" numbers in the interval (0,1) could not be listed. There was no mention of a one-to-one correspondence (bijection).

    This statement is very quickly dismissed in the following diagram which lists (represents) every single one of the numbers in the interval (0,1):

    diagonal.jpg

    But mainstream baboons did not stop here. They reinterpreted Cantor's rot in the context of a one to one correspondence between the "real" numbers in the interval (0,1) and the natural numbers, that is, an enumeration.

    I shall demonstrate now that we can place these "real" numbers in a one-to-one correspondence with a unique sequence which we'll call the index.

    Every index sequence will be preceded by either +, - or *.

    For example,

    The number 0.3 has an index sequence of +3
    0.03 has an index sequence of +03
    0.(3) has an index sequence of -3
    0.0(3) has an index sequence of -03
    0.(15) has an index sequence of -15
    0.26 has an index sequence of +26
    0.14159... has an index sequence of *14159... (fractional part of pi)
    0.391 has an index sequence of +391

    As you can see, every index sequence is unique. What I have done is placed the "real" numbers in the interval (0,1) in correspondence with a unique index sequence, that is, I have created a bijection! In this scheme I have ENUMERATED the numbers in the interval (0,1). The decimal tree represents the numbers and the unique sequence index enumerates the same.

    Now, if a bijection exists, then by mainstream theory, the interval must be countable, which is contrary to Cantor's claims.

    So, provided one accepts that all the numbers in the interval (0,1) can be represented as decimals, then the "real" numbers are indeed countable.

    This is the simplest proof that Cantor was a delusional idiot.


    Disclaimer: I do not agree the "real" numbers are countable because one can't count a set containing non-existent objects. My tree in fact, only contains rational numbers, but moron academics think it contains all the "real" numbers in the interval (0,1).

    Webster's entry for enumerate is:

    enu·mer·ate transitive verb \i-ˈn(y)ü-mə-ˌrāt\

    : to name (things) one after another in a list

    I include this Webster definition here, in case any of you morons object to the use of +, - or * in my unique sequence index.
    Last edited by john_gabriel; 01-29-2014 at 02:06 PM.
    The more I publish the truth, the more society hates me.
    There is no sympathy for those who oppose mainstream ideas - true or not.

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  10. #4990
    Senior Member grapes's Avatar
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    Default Re: Cantor's Diagonal Argument a fraud.

    Quote Originally Posted by john_gabriel View Post
    In this comment I lay to rest Cantor's diagonal argument for good.

    In my debate with Mark Chu Carroll, I was banned before I could even get this far.

    There is not a single proof that the Diagonal Argument is in fact true. Nowhere on the internet or anywhere else.

    The argument originally states that the set of "real" numbers in the interval (0,1) could not be listed. There was no mention of a one-to-one correspondence (bijection).

    This statement is very quickly dismissed in the following diagram which lists (represents) every single one of the numbers in the interval (0,1):

    Attachment 637

    But mainstream baboons did not stop here. They reinterpreted Cantor's rot in the context of a one to one correspondence between the "real" numbers in the interval (0,1) and the natural numbers, that is, an enumeration.

    I shall demonstrate now that we can place these "real" numbers in a one-to-one correspondence with a unique sequence which we'll call the index.

    Every index sequence will be preceded by either +, - or *.

    For example,

    The number 0.3 has an index sequence of +3
    0.03 has an index sequence of +03
    0.(3) has an index sequence of -3
    0.0(3) has an index sequence of -03
    0.(15) has an index sequence of -15
    0.26 has an index sequence of +26
    0.14159 has an index sequence of *14159 (fractional part of pi)
    0.391 has an index sequence of +391

    As you can see, every index sequence is unique. What I have done is placed the "real" numbers in the interval (0,1) in correspondence with a unique index sequence, that is, I have created a bijection! In this scheme I have ENUMERATED the numbers in the interval (0,1). The decimal tree represents the numbers and the unique sequence index enumerates the same.

    Now, if a bijection exists, then by mainstream theory, the interval must be countable, which is contrary to Cantor's claims.

    So, provided one accepts that all the numbers in the interval (0,1) can be represented as decimals, then the "real" numbers are indeed countable.

    This is the simplest proof that Cantor was a delusional idiot.


    Disclaimer: I do not agree the "real" numbers are countable because one can't count a set containing non-existent objects. My tree in fact, only contains rational numbers, but moron academics think it contains all the "real" numbers in the interval (0,1).
    So, you say you've created a bijection between the rational numbers and your list. Cantor was able to do that.

    Why would academics think that your tree contains all real numbers, if it only has the rational numbers?

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