On 31 January 2014 04:43, Bruno Marchal <[email protected]> wrote: > > On 30 Jan 2014, at 00:07, LizR wrote: > > On 30 January 2014 12:11, Russell Standish <[email protected]> wrote: > >> Yes. Pity the poor blighters at high school if someone tried to teach >> them this stuff. I remember someone once showed me the definition of >> continuity in year 11 (with all the upside down As and back to frount >> Es), and it nearly did my head in. Of course, that is part and parcel >> of the 2nd year introduction to analysis course :). >> > > My son (15) is rather keen on summing infinite series now, after I showed > him the -1/12 demonstration. I am wondering whether to introduce him to > modal logic and the other things Bruno is trying to teach me (then he can > do the exercises :) > > Why not? >
Just a joke. Actually if he understood it as well we would both learn much more quickly, I think. I have given him "Godel Escher Bach" to read :) Although if anything needs a Kindle edition it's that... > > "Teaching math" is the best way to learn math. *you* will learn, not just > your son. But logic, the branch of math, is the most difficult branch of > math, in the beginning. In my opinion. > > Even that remark is not obvious. Attempting to explain could add > confusion. To do logic you have to abstract from your understanding. You > have to understand what you have to not understand. > > You have to understand that > > "We say that '(A & B) is true if 'A is true and 'B is true" > > is no more circular than > > "the output of an "and" gate will be on if its two inputs are on. > > For a simple example. > > Logic might be a bit abstract for a kid, but as Smullyan illustrates it > can also be fun. It is also a question of taste, and then logic appears as > wide its taste spectrum, like most branch of math. > We shall see. > > Bruno > > > -- > You received this message because you are subscribed to the Google Groups > "Everything List" group. > To unsubscribe from this group and stop receiving emails from it, send an > email to [email protected]. > To post to this group, send email to [email protected]. > Visit this group at http://groups.google.com/group/everything-list. > For more options, visit https://groups.google.com/groups/opt_out. > > > http://iridia.ulb.ac.be/~marchal/ > > > > -- > You received this message because you are subscribed to the Google Groups > "Everything List" group. > To unsubscribe from this group and stop receiving emails from it, send an > email to [email protected]. > To post to this group, send email to [email protected]. > Visit this group at http://groups.google.com/group/everything-list. > For more options, visit https://groups.google.com/groups/opt_out. > -- You received this message because you are subscribed to the Google Groups "Everything List" group. To unsubscribe from this group and stop receiving emails from it, send an email to [email protected]. To post to this group, send email to [email protected]. Visit this group at http://groups.google.com/group/everything-list. For more options, visit https://groups.google.com/groups/opt_out.

