Hello again I hope to move along through the book at a faster pace over the next while by skimming the surface. We can then perhaps get a general perspective...
Some members of the Klein list may find the following announcement of interest. Lancelot Fletcher list owner "What is the algorithm that runs our Universe?" ...
Hello all I would like to take another step in slow-reading Klein's book on math. I will be reviving the archives for myself and then trying to see if we can ...
HI Ed et al: i would like to start at chapter 5 for various reasons, first: i reviewed the archives for the last couple of flurries and think we discussed at...
Before venturing further into chapter 5, some observations. My ordinary life contains the need for me to count and calculate. (More so than most given that I...
An observation: I am, in a sense, employed to wonder about the teaching of elementary school mathematics and to teach teachers of the same. Plato may well have...
I'm ready for more Klein as well. I found it somewhat tougher to find my bearings in Chapter 4, as compared to the first three. If anyone else is unfamiliar...
Ron Allen
wavelets@...
May 19, 2002 10:25 pm
353
I go along with Bill's suggestion and willget reading on ch5. John On Thu, 16 May 2002 12:05:47 +0000 b oates <OATESBILL1@...> ... John Mayberry ...
I am not convinced that we can profitably spend much time on Ch 5 at this juncture, though we may need to return to it later. The main point seems to be the...
Good. I myself am very much looking fwd to ch6. The material in 10 is very difficult and 11 is the heart of Klein's book. John On Tue, 14 May 2002 12:00:00...
OK, I'll start with the fifth chapter, even if we don't spend a lot of time there. Chapter 5 asks how, writers after Euclid--Nicomachus and Theon, for ...
Ron Allen
wavelets@...
May 21, 2002 3:12 am
357
Ron Thanks for your excellent summary of chapter 5. Although there is some interest in quickly moving through this chapter I would like to linger a bit as...
... [snip] I believe we are suffering here from a tendency to regard the Platonic/Aristotlean mathematics and its subsequent ancient tradition strictly from a...
Kalev ... While that may be so, I am not sure what you are considering to be the modern or the P/A view (as if P&A were in any sense a unity) ... Well this is...
... I am only constrasting the ancients with the moderns, not that Plato and Aristotle are the same, which, of course, they are not. Aristotle is quite the...
kalev snip ... I was thinking about Aristotle and his attempt to find something that was both universal and particular, prior both ontologically and ...
movin on For my part I would like to summarize what I have gleaned from chapter five, the open problems in my reading and, if no further discussion of those ...
Bill Oates writes: [snip] ... What I was thinking about is the problem of perception of the things around us, as well as non-sensory things. Doing this in the...
... A division into fractions. ... A coincidence of form and substance. ... Expensive oil. In any event, the practical mathematics is impossible without the...
hi kalev ... The jump from this statement back to my question is too big a leap for me. But perhaps the problem is in my question being not clear. My question...
Bill Oates writes: [snip] ... That does not disturb me, as an irrational is not meant to have a common measure and it is not a monad. ... We do not need to...
kalev ... No but the point being what of the Platonic Fourfold way. This is presupposing that arithmetic is based on an indivisible monad. Fractions are ...
... [snip] I don't see that fractions are based on any monads. The fractions are based on the relationship of various monads and groups of monads to each...
Hello Bill & chapter 5 readers: Sorry for the delay. I had replied to this message several days ago, but it didn't seem to make it to the group. It could be...
Ron Allen
wavelets@...
May 24, 2002 5:50 am
370
Mr. Klein was able his whole life to become angry about those who happily placed the fractions on a line between one and zero. Those "fractions" are ratios!...
jkeyser
key@...
May 24, 2002 6:33 am
371
Ron Allen writes [snip] ... [snip] I think part of the problem with the latter Platonists who lived in Roman times (and Roman engineering) is that they are...
hi ron this message is far to big for me to respond at once so i will try to go in steps, if we do not get to some parts till later please remind me, there are...
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