tag:blogger.com,1999:blog-2523717176107026683.post3561269691944237393..comments2019-11-10T07:53:45.443-05:00Comments on The Biblical World: Is that God speaking or last night's pizza?John Byronhttp://www.blogger.com/profile/10089065553061533090noreply@blogger.comBlogger12125tag:blogger.com,1999:blog-2523717176107026683.post-56341811703811691502011-09-22T20:45:53.053-04:002011-09-22T20:45:53.053-04:00DRT,
You are a genius! Not arrogant at all. THAN...DRT, <br /><br />You are a genius! Not arrogant at all. THANK YOU. Now I get it. I had got to the point where I was going to start counting out change to figure it out. <br /><br /><br />But it does help explain the way intuition works. I think the editors of Live Science could have explained it better.The Biblical Worldhttps://www.blogger.com/profile/10089065553061533090noreply@blogger.comtag:blogger.com,1999:blog-2523717176107026683.post-23236004322096194002011-09-22T19:17:48.457-04:002011-09-22T19:17:48.457-04:00Brilliant answers James and DRT. I really apprecia...Brilliant answers James and DRT. I really appreciated the explanation of an intuitive approach. As far as business I concur, I do not use as much analytic skill there as intuition.Arcaemedehttps://www.blogger.com/profile/16956587158893191459noreply@blogger.comtag:blogger.com,1999:blog-2523717176107026683.post-49190175382464419952011-09-22T16:44:06.135-04:002011-09-22T16:44:06.135-04:00I want to clarify a bit too. What you are looking...I want to clarify a bit too. What you are looking for is why your answer is not correct. Many people think that way, but that is not the way people trained in science, engineering and math typically think. They get stuck in the opposite paradigm, that is, trying to think why their answer has to make sense. In the business world many analytical types have a difficult time because many of the decisions are not a question of determining a precise answer, but in determining a good enough answer. Analyticals definitely check the answer because that is the proof. In other words, they typically don't ask the question as to why their guess was not right, they assume their guess is wrong and determine how wrong it is so that they can guess better.DRThttp://lostcodex.comnoreply@blogger.comtag:blogger.com,1999:blog-2523717176107026683.post-1253470489951312352011-09-22T16:36:58.352-04:002011-09-22T16:36:58.352-04:00James is getting close. The intuitive answer is m...James is getting close. The intuitive answer is more like this.<br /><br />You have to add the price of the ball plus the price of the bat, right?<br /><br />If the ball is 10 cents then add a dollar and that makes the bat 1.10, adding together makes the total 1.20, too much.<br /><br />So if the ball is 5 cents, that makes the bat 1.05, so the total is 1.10. See?<br /><br />The key for someone who thinks like you do is to make sure you take your conclusion and see if it really works in the problem. A better way to say that is that you have to guess at the answer and then see if it works. Just guessing is not right.<br /><br />In differential equations there is a method for solving that is called the method of judicious guessing. I think this should be taught to everyone who is not going to have to use math in their work. Basically you understand the concept of the way numbers work, and you take a stab at the answer, that is what you did. But you need to see if it is right. If you had done that you would have realized that it produces to high of an outcome and would have thought about it a bit differently knowing that the right answer had to be lower.<br /><br />So try the problem again, use your method and guess 10 cents and use the concept I just discussed and honestly see where it takes you <br /><br />(this is either going to result in me being called a genius or arrogant...)DRThttp://lostcodex.comnoreply@blogger.comtag:blogger.com,1999:blog-2523717176107026683.post-52990636557504807722011-09-22T15:54:01.087-04:002011-09-22T15:54:01.087-04:00James, yes, I think so, but let me show my ignoran...James, yes, I think so, but let me show my ignorance. The problem says $1.10, so I am not sure how we got to $1.05? Does someone owe me 5 cents.<br /><br />I guess you all now know where my lowest score was on the GRE.The Biblical Worldhttps://www.blogger.com/profile/10089065553061533090noreply@blogger.comtag:blogger.com,1999:blog-2523717176107026683.post-42342318233602064032011-09-22T14:50:21.725-04:002011-09-22T14:50:21.725-04:00I think John is looking for the opposite, for this...I think John is looking for the opposite, for this to be explained in words and not formulas.<br /><br />A dollar is not a dollar more than ten cents - it is 90 cents more than 10 cents. $1.05 is $1.00 more than $.05.<br /><br />Does that help?James F. McGrathhttps://www.blogger.com/profile/02561146722461747647noreply@blogger.comtag:blogger.com,1999:blog-2523717176107026683.post-52718574983988100002011-09-22T09:05:45.350-04:002011-09-22T09:05:45.350-04:00I was always good with math equations when symbols...I was always good with math equations when symbols were used instead of words. So the question stumped me as well until I saw it translated into symbolic form then I understood it. <br />So I think the math question given, only proves that a person has some training in math equations; I don't see how this has anything to do with intuition. <br />I remember having an intuition moment at college when one Monday morning a student was not in that day. Briefly after I realized he was dead the teacher announced that he had died in a motorcycle accident. Why did I not think he was just sick? Intuition!Anonymousnoreply@blogger.comtag:blogger.com,1999:blog-2523717176107026683.post-85433787767757655382011-09-22T08:53:35.275-04:002011-09-22T08:53:35.275-04:00Hmm, apparently there are more mathematicians read...Hmm, apparently there are more mathematicians reading my blog than I realized!The Biblical Worldhttps://www.blogger.com/profile/10089065553061533090noreply@blogger.comtag:blogger.com,1999:blog-2523717176107026683.post-51744777803529126632011-09-22T08:27:25.149-04:002011-09-22T08:27:25.149-04:00(x - y) ÷ 2 = z where x = combined cost of bat and...(x - y) ÷ 2 = z where x = combined cost of bat and ball; and y = required cost differential between bat and ball; and z is the answer required <br /><br />Thus: 1.10 - 1.00 ÷ 2 = z <br /> = 0.10 ÷ 2 = z <br /> = 0.05 = z<br /><br />I believe this works for all calculations of this kind?Anonymousnoreply@blogger.comtag:blogger.com,1999:blog-2523717176107026683.post-29032019390179383182011-09-22T08:08:22.329-04:002011-09-22T08:08:22.329-04:00Well Arcaedeme and Tomas, you clearly have better ...Well Arcaedeme and Tomas, you clearly have better math skills than me. I haven't touched algebra since high school, except for a few months as I prepared for the GRE. I won't lie and say I understand the answer. I guess I will ask my wife! :)The Biblical Worldhttps://www.blogger.com/profile/10089065553061533090noreply@blogger.comtag:blogger.com,1999:blog-2523717176107026683.post-24878142253322059472011-09-22T04:16:34.035-04:002011-09-22T04:16:34.035-04:00I in computer science research, so I have had some...I in computer science research, so I have had some training. I also did ball = 1.1 - 1 = 0.1, but I am trained to check that the result is consistent with the preconditions: the difference bewteen bat and ball is then 1 - 0.1 = 0.9, which is not 1. So I had to find another answer... which happened to be 1.05 and 0.05. Which I also used intuition to compute, no explicit equations.Tomas Olssonnoreply@blogger.comtag:blogger.com,1999:blog-2523717176107026683.post-72520044942385664532011-09-22T01:04:27.002-04:002011-09-22T01:04:27.002-04:00Problem gives you a couple different equations to ...Problem gives you a couple different equations to work from:<br /><br />bat + ball = 1.10<br />bat = ball + 1.00<br /><br />If you combine those, you get<br /><br />ball + 1.00 + ball = 1.10<br /><br />Simplify:<br /><br />2 * ball = 0.10<br /><br />Solve for ball ..<br /><br />ball = 0.05<br /><br />PS. I also have intuitive experiences, but when you get trained to solve algebra problems you usually exclude them from your "intuitive" methodology. That said, I had problems in advanced physics that I used intuition to solve correctly (but also using a more reductionist type of thinking in addition to intuitive).Arcaemedehttps://www.blogger.com/profile/16956587158893191459noreply@blogger.com