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Topic: A Point on Understanding
Replies: 66   Last Post: Jan 6, 2013 11:07 PM

 Messages: [ Previous | Next ]
 GS Chandy Posts: 8,307 From: Hyderabad, Mumbai/Bangalore, India Registered: 9/29/05
Re: A Point on Understanding
Posted: Jan 1, 2013 1:22 AM

Robert Hansen (RH) posted Jan 1, 2013 9:41 AM:
>
> On Dec 31, 2012, at 1:11 AM, GS Chandy
> <gs_chandy@yahoo.com> wrote:
>

> > Of course, that student must arrive at a clear
> understanding just how those repeating decimals 'go
> to' the fractions 1/3 and 1/1 respectively. Given
> this, the rest of RH's argument makes no sense at all
> to me.
>
> That's because you didn't view the video.
>
> Bob Hansen
>

I have subsequently succeeded in viewing the video. I re-iterate my earlier argument.

To go by the evidence of my own case, the understanding of how a repeating decimal 'goes towards' infinity is a subtle idea that takes time to 'simmer' in the mind and 'come to a boil' - the 'moment of understanding of "infinity" as a concept' is almost an "EUREKA" moment (if I recall rightly). That 'moment' also goes on forever.

(I'm of course NOT claiming that I now understand infinity *fully*, or even as well as the best modern researchers into the subject - but I do know how to think about it so my head doesn't go into an impossible whirl.

(I also know how to use 'infinity' reasonably effectively in math, physics, etc; and to understand how others are using it.

(And also how to draw useful analogies and metaphors from it as and when needed.

(Of course, there is still an 'infinite amount' to learn).

GSC

Message was edited by: GS Chandy

Date Subject Author
12/15/12 Robert Hansen
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12/27/12 Robert Hansen
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12/30/12 kirby urner
12/30/12 Louis Talman
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12/30/12 kirby urner
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12/30/12 Paul A. Tanner III
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12/27/12 Domenico Rosa
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12/27/12 Richard Strausz
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12/30/12 Joe Niederberger
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12/30/12 Robert Hansen
12/30/12 Joe Niederberger
12/31/12 Robert Hansen
1/2/13 kirby urner
12/30/12 Joe Niederberger
1/1/13 Paul A. Tanner III
12/31/12 GS Chandy
12/31/12 Robert Hansen
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12/31/12 Robert Hansen
12/31/12 Joe Niederberger
1/1/13 Robert Hansen
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1/1/13 GS Chandy
1/1/13 GS Chandy
1/1/13 Robert Hansen
1/1/13 Haim
1/1/13 Joe Niederberger
1/1/13 Joe Niederberger
1/1/13 Paul A. Tanner III
1/1/13 Louis Talman
1/2/13 Paul A. Tanner III
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1/2/13 Joe Niederberger
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