June 29th, 2014, 11:34 AM  #31  
Senior Member Joined: Jul 2013 From: United Kingdom Posts: 471 Thanks: 40  Quote:
Your actions today may seem sound, but tomorrow those actions may lead to unforeseen and undesirable results. Humans will make mistakes as problems are mostly multidimensional  not linear. The fact that we deceive ourselves and tend to judge books by their covers is not very surprising. We like to use phrases such as should've, could've, would've and what if  but they're probably not as useful as we think they are. Hindsight is something that we experience after ourselves or others have made mistakes, but unfortunately  it can't change the past. We seem to be passengers on this journey through life. We usually behave differently after making mistakes. That is why the best mode of reasoning is to question ourselves and our beliefs, ask questions and constantly revise the methods we use to solve problems. The scientific method allows us to do this. Logic is useful, but it should be used under the framework of the scientific method. Last edited by perfect_world; June 29th, 2014 at 11:50 AM.  
June 29th, 2014, 12:07 PM  #32 
Senior Member Joined: Jul 2013 From: United Kingdom Posts: 471 Thanks: 40 
If someone were to tell me they understand mathematics, I'd have to ask them what sort of mathematics they understand. They'd have to be more specific. Let's say they claimed to understand basic mathematics up to GCSE level... What I'd do is ask them to provide me with evidence to back up those claims. To consider the evidence I'd have to be competent at doing basic mathematics up to GCSE level myself. If I were to give them challenging GCSE questions to answer, I'd have to be able to answer those challenging questions with a high degree of accuracy. If I were to ask them for evidence in the form of a qualification certificate, I'd have to know what an original education certificate looks like. I'd also have to make sure that they are who they really say they are. It would be very hard for someone to convince me that they understand something that they truly don't understand. There would be so many ways to figure out whether they were telling the truth or not. I won't believe claims until I'm given the evidence that back up those claims  especially when trying to make important decisions. The more weight there is to a piece of evidence, the more believable it can become. Last edited by perfect_world; June 29th, 2014 at 12:12 PM. 
June 29th, 2014, 12:25 PM  #33 
Senior Member Joined: Jul 2013 From: United Kingdom Posts: 471 Thanks: 40 
On the other hand, if someone were to tell me they were a chemical engineer  and let's say I knew nothing about chemical engineering, I wouldn't be in the position to figure out whether they were telling the truth or not. Reliable sources would have to help me figure out whether that person was being honest or not. At first I would not reach any conclusions and I would keep my mind open to the possibility that the person was lying or maybe telling the truth. I wouldn't jump to any rash conclusions. 
July 5th, 2014, 06:36 AM  #34 
Banned Camp Joined: Feb 2013 Posts: 224 Thanks: 6  
July 5th, 2014, 06:46 AM  #35 
Global Moderator Joined: Nov 2006 From: UTC 5 Posts: 16,046 Thanks: 938 Math Focus: Number theory, computational mathematics, combinatorics, FOM, symbolic logic, TCS, algorithms  Since this is a math forum I feel obliged to point out that multidimensional is orthogonal to linear: you can be multidimensional and linear, multidimensional and nonlinear, singledimensional and linear, or singledimensional and nonlinear.


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