> Again, I'm fairly uneducated so I'm not sure how novel his claims are, but so far they mostly seem good. Granted, I'm only 30 pages in; his attitude makes it hard to take him seriously.
I'm surprised that you've taken a serious crack at the book, but from reading the amazon page seeing claims like,
> a multitude of bizarre new operations made possible by unified logic, such as division by zero for example, and that's not even the weirdest example, not even close
just make me wanna cry >:(, first off in any new idea or theory the axioms have to be consistent for something to be considered. Like I swear if we run this against the crackpot index I bet /r/badmathematics will not find the upper bound of what's wrong with this text.
For what it's worth, there's a quite hefty preview on the book's amazon page. The portions I've glanced over so far seem borderline bad philosophy/bad mathematics, but from the table of contents I'm sure it gets into more mathematical territory.
OP I can recommend this book . Read it myself (I consider myself to be someone who’s strength is critical thinking) and I’ve learnt interesting things. Also work with a wonderful designer who struggles with critical thinking and decision making (she’s awesome if she’s given direction and someone else makes decisions but lacking if she has to make them), and it has transformed her approach.
Decision making is a skill, just like any other so practice is what will help and this book gives you frameworks of sorts, like a template for things to consider and ask.
Hope it helps
https://en.wikipedia.org/wiki/Argument_from_authority - a well-known logical fallacy. I suggest you pick this book up and educate yourself on logical fallacies - https://www.amazon.com/Illustrated-Book-Bad-Arguments-ebook/dp/B00M9P7JKI.
As for your particular objection, yes, there are plenty of examples of things worked on by thousands (or millions) of people which make no sense - the scores of "failed" Google projects (Google Wave, Google Code, Google Plus, and now Carbon), the Metaverse, the original AI projects (SHRDLU et al) leading to the original AI winter, Blockchain et al. Too many to list actually.
The things is this - it's a logical issue. Unless one can develop a sentient program (you know, the original idea of AI, not the Compute-based "AI" (deliberately quoted)) that can interact with the customer to get, refine, and update requirements, implement prototypes, write tests and weed out bugs, iterate over features in sprints, work on production issues, and deliver products that satisfy said customer requirements, then it's mind-numbingly obvious that the human element can never be eliminated, or indeed minimised to the extent that it has in certain other industries (manufacturing, for instance).
Good luck even beginning to try defining what "intelligence" or "conscious" is, let alone implementing it. Modern "AI" is fundamentally the same (well, less rich in fact) as it was half a century ago - it's only the computing power that has increased exponentially, but this has its own fixed limits. My personal conjecture is that there is not enough compute in the universe to be able to create a digital analogue (pun intended) of the human consciousness.
You may find the mathematics presented in the God Series of books worthwhile: http://www.amazon.com/The-God-Series-32-book-series/dp/B078NJXRDT?ref=dbs_m_mng_awm_0000_ext
However the books use a pattern that is long form and is attempting to break readers out of their existing thought patterns, which I think you’re already largely seeing beyond. Instead, “what is mathematics - the greatest detective story never told” by the pseudonymous author Dr. Thomas Stark may be a more concise choice.
Or this may not be interesting at all for you. But I think you may be surprised at the true history of mathematics.
Cheers.
It’s powerful stuff. It goes back to the earliest students studying the nature of reality, and follows allegedly an unbroken path of refinement since, it has not sat by and become prone to rumor and misinterpretation like most spiritual traditions. Unfortunately it is highly intellectual and well beyond the average seeker who just wants something fun to play with or to make their life incrementally better, so it hasn’t gotten much traction. I am surprised I can’t find hardly any references to it in the largest chat board in the world, maybe I am looking in the wrong places, or maybe reddit just reflects the world at large.
I specified the name of the series and the author but if it helps to have a specific link - fewer steps, I know I know, imagine 32 starter books and over a hundred more and one can imagine why this is not popular - here: * https://www.amazon.com/The-God-Series-32-book-series/dp/B078NJXRDT/ref=nodl_
Unfortunately, you're probably going to find yourself in deep trouble.
Math is a progressive subject, meaning that mastery of earlier material is normally necessary to understand later material. Indeed, you'll discover that almost everyone - no matter how smart - eventually hits a wall where they just don't understand enough of the foundational material for certain new material to grasp it at more than a fuzzy level.
Moreover, math is much, much easier to learn when you're young. It's like language in that way.
Now, from the standpoint of becoming an educated adult, I'd highly recommend books like How Not to Be Wrong that will give you an overview of mathematical concepts without requiring you to understand the underlying material all that well - you can just take a lot on faith.
But that won't help you pass your general education requirement.
Now, there are two ways to go about this. The first is to spend a lot of effort mastering the material you didn't master the first time.
The second is to just try to get past that one course you need to take in your non-quantitative major. For students in your situation, this is normally the best course of action.
It's also advisable to not take this one course at the college you'll be attending. Instead, check whether you can transfer in credit and try to take the course at a Community College. Normally such schools offer as much grade replacement as you want - you could take the course 20 times until you finally passed - and the grade won't affect your GPA when it's transferred in.
>It’s fun to learn what great minds thought.
Yah. Philosophy is a lot of fun.
Have you read any of Hofstadter's works? You might appreciate it, like I Am A Strange Loop.
I don't, it's a long time since I read an introductory book. This is the first one I googled and it seems like an attractive approach:
Introducing Philosophy: A Graphic Guide
Great question! This is something I'm pretty passionate about.
In undergrad, my senior thesis was a book that would gradually introduce formal proof techniques to curious people with no more than a high school background, tentatively titled "Proof By Numbers". Princeton University Press was interested in helping me bring it to a wider audience, but then I left for grad school and didn't have time to go through their revision process. I plan to revisit that manuscript soon -- if you want to be a "beta" reader, please email with "Proof By Numbers" in the subject line.
In the meantime, I'd recommend How Not to Be Wrong by one of my undergrad mentors, Jordan Ellenberg.
Great question! This is something I'm pretty passionate about.
In undergrad, my senior thesis was a book that would gradually introduce formal proof techniques to curious people with no more than a high school background, tentatively titled "Proof By Numbers". Princeton University Press was interested in helping me bring it to a wider audience, but then I left for grad school and didn't have time to go through their revision process. I plan to revisit that manuscript soon -- if you want to be a "beta" reader, please email with "Proof By Numbers" in the subject line.
In the meantime, I'd recommend How Not to Be Wrong by one of my undergrad mentors, Jordan Ellenberg.
Great question! This is something I'm pretty passionate about.
In undergrad, my senior thesis was a book that would gradually introduce formal proof techniques to curious people with no more than a high school background, tentatively titled "Proof By Numbers". Princeton University Press was interested in helping me bring it to a wider audience, but then I left for grad school and didn't have time to go through their revision process. I plan to revisit that manuscript soon -- if you want to be a "beta" reader, please email with "Proof By Numbers" in the subject line.
In the meantime, I'd recommend How Not to Be Wrong by one of my undergrad mentors, Jordan Ellenberg.
Great question! This is something I'm pretty passionate about.
In undergrad, my senior thesis was a book that would gradually introduce formal proof techniques to curious people with no more than a high school background, tentatively titled "Proof By Numbers". Princeton University Press was interested in helping me bring it to a wider audience, but then I left for grad school and didn't have time to go through their revision process. I plan to revisit that manuscript soon -- if you want to be a "beta" reader, please email with "Proof By Numbers" in the subject line.
In the meantime, I'd recommend How Not to Be Wrong by one of my undergrad mentors, Jordan Ellenberg.
Great question! This is something I'm pretty passionate about.
In undergrad, my senior thesis was a book that would gradually introduce formal proof techniques to curious people with no more than a high school background, tentatively titled "Proof By Numbers". Princeton University Press was interested in helping me bring it to a wider audience, but then I left for grad school and didn't have time to go through their revision process. I plan to revisit that manuscript soon -- if you want to be a "beta" reader, please email with "Proof By Numbers" in the subject line.
In the meantime, I'd recommend How Not to Be Wrong by one of my undergrad mentors, Jordan Ellenberg.
Great question! This is something I'm pretty passionate about.
In undergrad, my senior thesis was a book that would gradually introduce formal proof techniques to curious people with no more than a high school background, tentatively titled "Proof By Numbers". Princeton University Press was interested in helping me bring it to a wider audience, but then I left for grad school and didn't have time to go through their revision process. I plan to revisit that manuscript soon -- if you want to be a "beta" reader, please email with "Proof By Numbers" in the subject line.
In the meantime, I'd recommend How Not to Be Wrong by one of my undergrad mentors, Jordan Ellenberg.
Great question! This is something I'm pretty passionate about.
In undergrad, my senior thesis was a book that would gradually introduce formal proof techniques to curious people with no more than a high school background, tentatively titled "Proof By Numbers". Princeton University Press was interested in helping me bring it to a wider audience, but then I left for grad school and didn't have time to go through their revision process. I plan to revisit that manuscript soon -- if you want to be a "beta" reader, please email with "Proof By Numbers" in the subject line.
In the meantime, I'd recommend How Not to Be Wrong by one of my undergrad mentors, Jordan Ellenberg.
Great question! This is something I'm pretty passionate about.
In undergrad, my senior thesis was a book that would gradually introduce formal proof techniques to curious people with no more than a high school background, tentatively titled "Proof By Numbers". Princeton University Press was interested in helping me bring it to a wider audience, but then I left for grad school and didn't have time to go through their revision process. I plan to revisit that manuscript soon -- if you want to be a "beta" reader, please email with "Proof By Numbers" in the subject line.
In the meantime, I'd recommend How Not to Be Wrong by one of my undergrad mentors, Jordan Ellenberg.
Great question! This is something I'm pretty passionate about.
In undergrad, my senior thesis was a book that would gradually introduce formal proof techniques to curious people with no more than a high school background, tentatively titled "Proof By Numbers". Princeton University Press was interested in helping me bring it to a wider audience, but then I left for grad school and didn't have time to go through their revision process. I plan to revisit that manuscript soon -- if you want to be a "beta" reader, please email with "Proof By Numbers" in the subject line.
In the meantime, I'd recommend How Not to Be Wrong by one of my undergrad mentors, Jordan Ellenberg.
Great question! This is something I'm pretty passionate about.
In undergrad, my senior thesis was a book that would gradually introduce formal proof techniques to curious people with no more than a high school background, tentatively titled "Proof By Numbers". Princeton University Press was interested in helping me bring it to a wider audience, but then I left for grad school and didn't have time to go through their revision process. I plan to revisit that manuscript soon -- if you want to be a "beta" reader, please email with "Proof By Numbers" in the subject line.
In the meantime, I'd recommend How Not to Be Wrong by one of my undergrad mentors, Jordan Ellenberg.
Great question! This is something I'm pretty passionate about.
In undergrad, my senior thesis was a book that would gradually introduce formal proof techniques to curious people with no more than a high school background, tentatively titled "Proof By Numbers". Princeton University Press was interested in helping me bring it to a wider audience, but then I left for grad school and didn't have time to go through their revision process. I plan to revisit that manuscript soon -- if you want to be a "beta" reader, please email with "Proof By Numbers" in the subject line.
In the meantime, I'd recommend How Not to Be Wrong by one of my undergrad mentors, Jordan Ellenberg.
Great question! This is something I'm pretty passionate about.
In undergrad, my senior thesis was a book that would gradually introduce formal proof techniques to curious people with no more than a high school background, tentatively titled "Proof By Numbers". Princeton University Press was interested in helping me bring it to a wider audience, but then I left for grad school and didn't have time to go through their revision process. I plan to revisit that manuscript soon -- if you want to be a "beta" reader, please email with "Proof By Numbers" in the subject line.
In the meantime, I'd recommend How Not to Be Wrong by one of my undergrad mentors, Jordan Ellenberg.
Great question! This is something I'm pretty passionate about.
In undergrad, my senior thesis was a book that would gradually introduce formal proof techniques to curious people with no more than a high school background, tentatively titled "Proof By Numbers". Princeton University Press was interested in helping me bring it to a wider audience, but then I left for grad school and didn't have time to go through their revision process. I plan to revisit that manuscript soon -- if you want to be a "beta" reader, please email with "Proof By Numbers" in the subject line.
In the meantime, I'd recommend How Not to Be Wrong by one of my undergrad mentors, Jordan Ellenberg.
Great question! This is something I'm pretty passionate about.
In undergrad, my senior thesis was a book that would gradually introduce formal proof techniques to curious people with no more than a high school background, tentatively titled "Proof By Numbers". Princeton University Press was interested in helping me bring it to a wider audience, but then I left for grad school and didn't have time to go through their revision process. I plan to revisit that manuscript soon -- if you want to be a "beta" reader, please email with "Proof By Numbers" in the subject line.
In the meantime, I'd recommend How Not to Be Wrong by one of my undergrad mentors, Jordan Ellenberg.
Great question! This is something I'm pretty passionate about.
In undergrad, my senior thesis was a book that would gradually introduce formal proof techniques to curious people with no more than a high school background, tentatively titled "Proof By Numbers". Princeton University Press was interested in helping me bring it to a wider audience, but then I left for grad school and didn't have time to go through their revision process. I plan to revisit that manuscript soon -- if you want to be a "beta" reader, please email with "Proof By Numbers" in the subject line.
In the meantime, I'd recommend How Not to Be Wrong by one of my undergrad mentors, Jordan Ellenberg.
Great question! This is something I'm pretty passionate about.
In undergrad, my senior thesis was a book that would gradually introduce formal proof techniques to curious people with no more than a high school background, tentatively titled "Proof By Numbers". Princeton University Press was interested in helping me bring it to a wider audience, but then I left for grad school and didn't have time to go through their revision process. I plan to revisit that manuscript soon -- if you want to be a "beta" reader, please email with "Proof By Numbers" in the subject line.
In the meantime, I'd recommend How Not to Be Wrong by one of my undergrad mentors, Jordan Ellenberg.
Great question! This is something I'm pretty passionate about.
In undergrad, my senior thesis was a book that would gradually introduce formal proof techniques to curious people with no more than a high school background, tentatively titled "Proof By Numbers". Princeton University Press was interested in helping me bring it to a wider audience, but then I left for grad school and didn't have time to go through their revision process. I plan to revisit that manuscript soon -- if you want to be a "beta" reader, please email with "Proof By Numbers" in the subject line.
In the meantime, I'd recommend How Not to Be Wrong by one of my undergrad mentors, Jordan Ellenberg.
Great question! This is something I'm pretty passionate about.
In undergrad, my senior thesis was a book that would gradually introduce formal proof techniques to curious people with no more than a high school background, tentatively titled "Proof By Numbers". Princeton University Press was interested in helping me bring it to a wider audience, but then I left for grad school and didn't have time to go through their revision process. I plan to revisit that manuscript soon -- if you want to be a "beta" reader, please email with "Proof By Numbers" in the subject line.
In the meantime, I'd recommend How Not to Be Wrong by one of my undergrad mentors, Jordan Ellenberg.
Great question! This is something I'm pretty passionate about.
In undergrad, my senior thesis was a book that would gradually introduce formal proof techniques to curious people with no more than a high school background, tentatively titled "Proof By Numbers". Princeton University Press was interested in helping me bring it to a wider audience, but then I left for grad school and didn't have time to go through their revision process. I plan to revisit that manuscript soon -- if you want to be a "beta" reader, please email with "Proof By Numbers" in the subject line.
In the meantime, I'd recommend How Not to Be Wrong by one of my undergrad mentors, Jordan Ellenberg.
Great question! This is something I'm pretty passionate about.
In undergrad, my senior thesis was a book that would gradually introduce formal proof techniques to curious people with no more than a high school background, tentatively titled "Proof By Numbers". Princeton University Press was interested in helping me bring it to a wider audience, but then I left for grad school and didn't have time to go through their revision process. I plan to revisit that manuscript soon -- if you want to be a "beta" reader, please email with "Proof By Numbers" in the subject line.
In the meantime, I'd recommend How Not to Be Wrong by one of my undergrad mentors, Jordan Ellenberg.
Great question! This is something I'm pretty passionate about.
In undergrad, my senior thesis was a book that would gradually introduce formal proof techniques to curious people with no more than a high school background, tentatively titled "Proof By Numbers". Princeton University Press was interested in helping me bring it to a wider audience, but then I left for grad school and didn't have time to go through their revision process. I plan to revisit that manuscript soon -- if you want to be a "beta" reader, please email with "Proof By Numbers" in the subject line.
In the meantime, I'd recommend How Not to Be Wrong by one of my undergrad mentors, Jordan Ellenberg.