Recent content by AllyScientific

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    Getting i^3 = -i using laws of surds

    I suspect that the mathematicians themselves are starting with a false premise, because they are breaking the law of signs. Need I add that they are not infallible? They are breaking their own law, should I not have right to say it ? My point is that we should start with a right premise...
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    Getting i^3 = -i using laws of surds

    -i is negative and +i is positive. (-i)*(-i) = (+i)*(+i) = i^2 =-1 Does it make sense now? A negative number \times a negative number = a negative number.
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    Getting i^3 = -i using laws of surds

    I think Tobias is talking about my recent threads where I showed my resistance to the supposed fact that \sqrt{ab} = \sqrt{a} \sqrt{b} doesn't always hold. If it makes no sense that i is positive in i^2=-1, then i is negative. But does it make sense that a negative number \times a negative...
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    Wolfram Alpha: all 2nd roots of 1

    If it is a mis-proof, it must be proved to be such, just saying it is does not make it a mis-proof. I am myself also trying to prove -1 = 1 false, if I can. We should abandon theology and aim to scientific methodology if possible. In that case, the only possibility is to study the problem...
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    Wolfram Alpha: all 2nd roots of 1

    I don't think anyone can say for certain that proving true the statement 1=-1 will contain an error. It is only a priori hypothesis that the attempt is doomed to failure. It does not prevent someone from finding a proof some day, whatever the result of the proof will be. Of course what I have...
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    Wolfram Alpha: all 2nd roots of 1

    I think a lot a users have vague concepts about the roots of unity. I try to post a link to WolframAlpha, which calculates all the second roots of unity http://www.wolframalpha.com/input/?i=sqrt%281%29 There you can see the input \sqrt{1} and the plot of all roots in the complex plane...
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    Marilyn vos Savant: -1x-1=+1, instead of -1

    I must ask you the same question as about ZeroPivot, did you read what I wrote? I have given a proof that Wikipedia is wrong about proving that √1 = -1 is a mathematical fallacy, while you assume that Wikipedia is correct. Do you know what are the roots of unity? Especially what is the second...
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    Marilyn vos Savant: -1x-1=+1, instead of -1

    It seems to me that you did not even read what I said. I have presented you a proof that: √1 = -1 and the proof is based on the concept of the roots of unity. Do your homework and learn what are the roots of unity. You will find that a second root of unity means the same as the square root of 1...
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    Marilyn vos Savant: -1x-1=+1, instead of -1

    I did a little research about the possibility of i being multivalued, because above is a formula where we can calculate that i=+1 and i=-1 besides the well known i=√-1 . This means that +1 = -1, and we seem to have made a mathematical fallacy if we trust Wikipedia which says that: +1=√1...
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    Marilyn vos Savant: -1x-1=+1, instead of -1

    There is the result (+i)^2 = (-i)^2 = ((-1)x(-1))x((i)x(i)) = (i)x(i) = (1)x(-1) = -1. → i= 1 and i= -1. It could be that there are the values i=1 and i=-1 besides the usual i=√-1, although this may sound a strange idea. At least the usual multiplication rules are then valid...
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    Marilyn vos Savant: -1x-1=+1, instead of -1

    If i is not a negative number, but a positive one ( also the same as +i), then -i is a negative number, and (-i)x(-i) = (+i)x(+i) = i^2 = -1 so we have the result: a negative number times a negative number equals a negative number. And yes, there appears to be a violation of the old rules.
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    Marilyn vos Savant: -1x-1=+1, instead of -1

    Marilyn vos Savant, who claims to be in the Guinness Hall of Fame for “World’s Highest IQ.”, has written the book The World’s Most Famous Math Problem, and here is a direct quote from the book, page 61: The square root of +1 is a real number because +1 × +1 = +1; however, the square root...
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