What a neat explanation of long division… so clear and easy to see now why it works. You’re absolutely right, a valid conceptual framework is necessary for scientific progress and an invalid framework will lead to eventual stagnation.
Cool video! I noticed that the algorithm as presented in the end resembled some variation on a binary search algorithm (make a guess, adjust higher if too low or lower if too high, repeat until the answer is found), which I thought was neat. Although I can't recall struggling with long division myself (the first memory I have of using long division was finding the decimal expansion of 1/7th) I found this video quite enlightening. I tend to find many mathematical topics, at least ones relating to algebra, functions, and set theory, to be very intuitive, while many of the people around me struggle, and because it's intuitive to me (and I ramble a lot) I find it very difficult to explain to someone who finds it less intuitive. So I think it's valuable for me to see things being explained in a manner other than the book's (which honestly just shows how rather than why) or just "it just makes sense, idk" (mine), so that I can perhaps help other people develop _their_ understanding. I also just think it's fascinating to see how other people's brains work, cause mine clearly ain't normal XD Semi-unrelated, I do remember having _some_ problems learning division at school: When they introduce it at first, they used cookies as examples, so if they asked "what's seven cookies divided by three people", they'd expect an answer of two with one left over (two res one or just 2r1). I had difficulty understanding why you wouldn't just cut the remaining cookie into smaller pieces and get an answer of two and a third, I mean, why waste a cookie? XD
Thank you for your kind words. There are indeed many different ways to skin this cat, and I think I also came up with a few alternatives when I was young, which is why I resisted this algorithm which I did not understand.
I'm working on a research project about roman numeral arithmetic right now actually! Very cool video. Im assuming that this story is entirely apocryphal, but on the off chance it isn't, do you have any sources?
That’s cool! What’s the aim of your project? The idea of these stories is that for the proof to truly be a proof, it must be a set of reasoning steps that would have been possible to people who have made the inductions of the videos so far: only then do we know that the prior knowledge is sufficient for a proof of the idea being proven.
Yes! That’s an excellent idea! In the meantime, you can get a copy of my theory of induction by going to patron.com/inductica and becoming a member! That book explains all my whole theory, MQIC being only the first chapter.
I really like your content. Is it possible to clarify complex topics by mentioning what they exactly refer to in reality. I am trying to do the same on my end some are easier than others - Clinical psychology examples do help somewhat. E.G. Normal curve, effect size, factors, deviance, variance, etc. Regards.
I have briefly surveyed your work and appreciate your dedication to induction. I have not yet had the time to dedicate to your work to give it the feedback it deserves, so thank you for reminding me. Part of my aim is to start an inductive revolution in all the sciences!
What a neat explanation of long division… so clear and easy to see now why it works.
You’re absolutely right, a valid conceptual framework is necessary for scientific progress and an invalid framework will lead to eventual stagnation.
Thanks!
Cool video!
I noticed that the algorithm as presented in the end resembled some variation on a binary search algorithm (make a guess, adjust higher if too low or lower if too high, repeat until the answer is found), which I thought was neat.
Although I can't recall struggling with long division myself (the first memory I have of using long division was finding the decimal expansion of 1/7th) I found this video quite enlightening. I tend to find many mathematical topics, at least ones relating to algebra, functions, and set theory, to be very intuitive, while many of the people around me struggle, and because it's intuitive to me (and I ramble a lot) I find it very difficult to explain to someone who finds it less intuitive. So I think it's valuable for me to see things being explained in a manner other than the book's (which honestly just shows how rather than why) or just "it just makes sense, idk" (mine), so that I can perhaps help other people develop _their_ understanding.
I also just think it's fascinating to see how other people's brains work, cause mine clearly ain't normal XD
Semi-unrelated, I do remember having _some_ problems learning division at school: When they introduce it at first, they used cookies as examples, so if they asked "what's seven cookies divided by three people", they'd expect an answer of two with one left over (two res one or just 2r1). I had difficulty understanding why you wouldn't just cut the remaining cookie into smaller pieces and get an answer of two and a third, I mean, why waste a cookie? XD
Thank you for your kind words. There are indeed many different ways to skin this cat, and I think I also came up with a few alternatives when I was young, which is why I resisted this algorithm which I did not understand.
I'm working on a research project about roman numeral arithmetic right now actually! Very cool video. Im assuming that this story is entirely apocryphal, but on the off chance it isn't, do you have any sources?
That’s cool! What’s the aim of your project?
The idea of these stories is that for the proof to truly be a proof, it must be a set of reasoning steps that would have been possible to people who have made the inductions of the videos so far: only then do we know that the prior knowledge is sufficient for a proof of the idea being proven.
The algorithm pitched this to me. Very interesting concept and question, worthwhile to pursue. Thanks for the hard work, pursue your passion.
Thanks for the encouragement!
Also can you make a specific video on how to learn a subject inductively ? Your approach. Motivation, Investigation, Questions, Conclusion.
Yes! That’s an excellent idea! In the meantime, you can get a copy of my theory of induction by going to patron.com/inductica and becoming a member! That book explains all my whole theory, MQIC being only the first chapter.
I never learnt short division.. short division makes no sense to me..
I really like your content. Is it possible to clarify complex topics by mentioning what they exactly refer to in reality. I am trying to do the same on my end some are easier than others - Clinical psychology examples do help somewhat.
E.G. Normal curve, effect size, factors, deviance, variance, etc.
Regards.
I have briefly surveyed your work and appreciate your dedication to induction. I have not yet had the time to dedicate to your work to give it the feedback it deserves, so thank you for reminding me. Part of my aim is to start an inductive revolution in all the sciences!