@transmathematica This is the first time I looked at the description of your channel😅 What do you mean you accidentally "discovered" how to divide by zero? Like, you failed your experiment and the idea of transreal arithmetic just fell to your head out of nowhere?
@@i-like-dogs.lets-play I was doing an experiment in computer vision in which I wrote a program to fit a geometrical prototype of an object to photographs of differently sized and shaped objects of the same general form. The experiment failed to calculate any significant bits in a 4 x 4 matrix of 64 bit numbers. That is 1 k bits that were completely wrong! This is an astronomical error and really should not happen. I traced the error and fixed it by adapting some Ancient Greek geometry to calculate rational angles. This solved my problem and I published a paper on computer vision. Then I looked closely at what I had done. When my adapted formula is used in projective geometry it has the side effect of describing the position and properties of the numbers plus infinity, minus infinity, and nullity. I did not intend this outcome but, by fixing a computer bug, I had "accidentally" discovered how to divide by zero. Would you like me to make a video about this?
@transmathematica Absolutely! But why didn't you make a video about that in the first place? If I were you, I would make a video about how did I discover how to divide by zero and after THAT everything else, because people that watch my channel would possibly begin to ask themselves: "Should I trust him?" Believe it or not: That happened to me! You were firstly a very interesting person with a very interesting RUclips channel, but without a proof that division by zero should be defined that way, I stopped watching your channel and started watching some other mathematical concepts of division by zero (for example singularity numbers, that can solve the equation x/x = -1). But then, I came back to you and this is what happened!
@ Um, with more than 25 years of scientific publications on division by zero, a machine proof of the consistency of my arithmetic, and half a dozen human constructive proofs of consistency, and extensions of real and complex calculus, and criticism of IEEE floating-point arithmetic, and extending Newton’s Laws of Motion to work at singularities, and extending Boolean logic, unifying paraconsitent logics, doing a whole bunch of other stuff I have mostly forgotten about, setting up a series of international conferences and a scientific journal, it didn’t cross my mind that anyone would doubt my credentials. I suppose I should have told you folks! I’ll make an intro video after a technical video on the non-finite angle.
This is part of the playlist “It’s infinite, Jim, but not as we know it.”
ruclips.net/p/PL2qvIMkhqXu0t6bZjo3PS9SZAoY0tcAxh&si=8BIRKMbgGwvrND8W
Can you find all x's in equation x/x = -1 using ONLY transreal numbers?
@@i-like-dogs.lets-play Yes, easily. I can also find all the solutions with a boiled cabbage. There are none.
@transmathematica This is the first time I looked at the description of your channel😅 What do you mean you accidentally "discovered" how to divide by zero? Like, you failed your experiment and the idea of transreal arithmetic just fell to your head out of nowhere?
@@i-like-dogs.lets-play I was doing an experiment in computer vision in which I wrote a program to fit a geometrical prototype of an object to photographs of differently sized and shaped objects of the same general form.
The experiment failed to calculate any significant bits in a 4 x 4 matrix of 64 bit numbers. That is 1 k bits that were completely wrong! This is an astronomical error and really should not happen.
I traced the error and fixed it by adapting some Ancient Greek geometry to calculate rational angles. This solved my problem and I published a paper on computer vision.
Then I looked closely at what I had done. When my adapted formula is used in projective geometry it has the side effect of describing the position and properties of the numbers plus infinity, minus infinity, and nullity. I did not intend this outcome but, by fixing a computer bug, I had "accidentally" discovered how to divide by zero.
Would you like me to make a video about this?
@transmathematica Absolutely! But why didn't you make a video about that in the first place? If I were you, I would make a video about how did I discover how to divide by zero and after THAT everything else, because people that watch my channel would possibly begin to ask themselves: "Should I trust him?" Believe it or not: That happened to me! You were firstly a very interesting person with a very interesting RUclips channel, but without a proof that division by zero should be defined that way, I stopped watching your channel and started watching some other mathematical concepts of division by zero (for example singularity numbers, that can solve the equation x/x = -1). But then, I came back to you and this is what happened!
@ Um, with more than 25 years of scientific publications on division by zero, a machine proof of the consistency of my arithmetic, and half a dozen human constructive proofs of consistency, and extensions of real and complex calculus, and criticism of IEEE floating-point arithmetic, and extending Newton’s Laws of Motion to work at singularities, and extending Boolean logic, unifying paraconsitent logics, doing a whole bunch of other stuff I have mostly forgotten about, setting up a series of international conferences and a scientific journal, it didn’t cross my mind that anyone would doubt my credentials. I suppose I should have told you folks!
I’ll make an intro video after a technical video on the non-finite angle.