Julian Posted March 10, 2009 Report Share Posted March 10, 2009 Math is a tool that we use daily. However there are some areas of math which dont follow the rules we are accustomed to. Im trying to find an area in which i can talk about that involves TOK and would be a good topic for discussion. I have thought about statistics and how we can never be reallt accurate with our measurment and calculations but other ideas would be helpful. Reply Link to post Share on other sites More sharing options...
moneyfaery Posted March 10, 2009 Report Share Posted March 10, 2009 Talk about mathematical axioms, maybe? e.g. a line joining two points can be both curved and straight. For statistics, it's often not the measurements that are inaccurate but the way they're measured - same with all the sciences, really. Reply Link to post Share on other sites More sharing options...
Tarz Posted March 11, 2009 Report Share Posted March 11, 2009 Calculus? It's gets really abstract... but in the end it miraculously works Reply Link to post Share on other sites More sharing options...
deissi Posted March 11, 2009 Report Share Posted March 11, 2009 Calculus? It's gets really abstract... but in the end it miraculously works No, it doesn't. Integrating only gives you an estimate. Also, using calculus for stuff like velocity and acceleration doesn't work perfectly. Look into the study of quantum physics and stuff like the uncertainty principle if you want to understand it . Reply Link to post Share on other sites More sharing options...
Tarz Posted March 11, 2009 Report Share Posted March 11, 2009 Ohh quantum physics is a good TOK topic! Reply Link to post Share on other sites More sharing options...
SharkSpider Posted March 12, 2009 Report Share Posted March 12, 2009 No, it doesn't. Integrating only gives you an estimate. Also, using calculus for stuff like velocity and acceleration doesn't work perfectly. Look into the study of quantum physics and stuff like the uncertainty principle if you want to understand it .Integrating does not give an estimate. Reply Link to post Share on other sites More sharing options...
LinuxBeta Posted March 12, 2009 Report Share Posted March 12, 2009 No, it doesn't. Integrating only gives you an estimate. Also, using calculus for stuff like velocity and acceleration doesn't work perfectly. Look into the study of quantum physics and stuff like the uncertainty principle if you want to understand it .The whole point of integration is to give you an accurate representation of the area under the curve. It is not an estimate, it is the real deal. If you wanna estimate the area under the curve, use trapezoids We are not accustomed in daily life to use complex numbers. In fact, your probably will never use them, unless you go into Pure Mathematics. As for "rules we aren't accustomed to", find an example where the math is counter-intuitive...there's bound to be a few. Reply Link to post Share on other sites More sharing options...
chokophilia Posted March 14, 2009 Report Share Posted March 14, 2009 How about exploring Maths as a second language? or a world without maths? I'm not sure if this helps but here u go Reply Link to post Share on other sites More sharing options...
Ongfufu Posted March 16, 2009 Report Share Posted March 16, 2009 Math as the universal language of science Reply Link to post Share on other sites More sharing options...
~Lc~ Posted March 17, 2009 Report Share Posted March 17, 2009 Math is a tool that we use daily. However there are some areas of math which dont follow the rules we are accustomed to. Im trying to find an area in which i can talk about that involves TOK and would be a good topic for discussion. I have thought about statistics and how we can never be reallt accurate with our measurment and calculations but other ideas would be helpful.try looking up the golden ratio and seeing to what extent the info in that is valid!I'm not the math expert, but I remember doing the golden ration in math for tok... Reply Link to post Share on other sites More sharing options...
LinuxBeta Posted March 17, 2009 Report Share Posted March 17, 2009 The golden ratio is a lie??? Since when? I don't remember ever talking about math in TOK...besides the reference to the '1+1 = 2' in the knowing exercise. Reply Link to post Share on other sites More sharing options...
Ongfufu Posted March 18, 2009 Report Share Posted March 18, 2009 Pseudoscience, like the proofs which show how 1=2. I used bits of that for my essay. Reply Link to post Share on other sites More sharing options...
narathiel Posted April 8, 2009 Report Share Posted April 8, 2009 How about : is math a language?Or if that is not original enough talk about how we use inductive and deductive logic in maths and try to determine which is more important or just talk about proof using induction and how that can be fallacious and how amthematicians assume it is true.you can also talk about Pi and how it was created and how that ties in with any maths today and relate this to TOK in some way.Or ethics and imaginary numbers could be interesting too. Reply Link to post Share on other sites More sharing options...
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