Hello Klein group: On p. 91, Klein says, "...as Aristotle reports...there are three kinds of arithmoi: (i) the arithmos eidetikos--idea number, (ii) the...
Ron Allen
wavelets@...
Apr 18, 2003 5:45 am
669
... What about the divided line itself? Isn't it an image? Best regards, Kalev Pehme...
Hi Klein group: Let's look at the top of the Arithmetic Divided Line. What are the eidetic (idea) numbers? 1. "In his lecture "On the Good" he seems to have...
Ron Allen
wavelets@...
Apr 18, 2003 5:11 pm
671
... One is not a number, but it has to be an eidetic number or else not all numbers can be made out of these eidetic numbers. The eidetic one is the ...
Good evening Klein group: Klein says (p. 91), "The Platonic theory of the arithmoi eidetikoi is known to us in these terms only from the Aristotleian polemic...
Ron Allen
wavelets@...
Apr 20, 2003 6:24 am
673
Hello again Klein group: In vol. I of his 'History of Greek Mathematics' (Oxford, 1921) Heath says that 1. The first definition of number is due to Thales (p....
Ron Allen
wavelets@...
Apr 22, 2003 4:54 am
674
Hi Ron et al I am interested in jumping back into this ring but have missed several pages of commentary. I will try to join in with wherever we have arrived...
Hello Bill: Welcome back to the Klein discussion group! I have been assembling small points of argument on what I've dubbed the "Arithmetic Divided Line"....
Ron Allen
wavelets@...
May 1, 2003 6:02 pm
676
Hi Klein group: Another passage from Aristotle that weighs in on what Plato might have considered to be a noetic number or not is Nicomachean Ethics, Book I.6 ...
Ron Allen
wavelets@...
May 3, 2003 5:54 pm
677
Hello once more Klein group: It is hard to reconcile the two exclusion criteria below (priority/posteriority and comparability) with Klein's statements that ...
Ron Allen
wavelets@...
May 8, 2003 1:56 am
678
HI Ron ... Aristotle has a rather strange doctrine of what is prior. E.g. The chicken is prior to the egg. By arthmoi mathematikoi you assume you are dealing...
Hi Ron This is of course a fascinating and complicated topic. First of all, I do not think Plato's purpose per se is to give us a 'theory of arithmetic' or a...
Hi Bill: ... Agreed. Plato wants to substantiate a political and moral theory. He doesn't want some relativistic, Protagorean morality. He wants also to avoid...
Ron Allen
wavelets@...
May 12, 2003 8:42 pm
681
Hello again Bill & Klein group: ... On p. 71, Klein summarizes Plato's link between what is prior and what exists: "But whatever furnishes the foundation for...
Ron Allen
wavelets@...
May 13, 2003 3:39 pm
682
Hi Bill: ... No, I don't think Godel shows that numbers are "more than Peano." Maybe I don't see what you're gesturing at here. Godel showed that the true ...
Ron Allen
wavelets@...
May 13, 2003 3:54 pm
683
Hello again Bill & Klein readers: Let me point out a place in the Metaphysics where Aristotle's remarks against separate Forms are particularly caustic. I'll...
Ron Allen
wavelets@...
May 15, 2003 5:29 pm
684
Hi Bill: This post points to where Aristotle is distinguishing cases of priority. ... In Metaphysics (1077b1) Aristotle says "...not all things which are prior...
Ron Allen
wavelets@...
May 16, 2003 3:54 pm
685
happy birthday to sokrates _________________________________________________________________ MSN 8 helps eliminate e-mail viruses. Get 2 months FREE*. ...
Hello Klein group: Ah, so the bright sun of summer shines upon us (in the northern hemisphere) and invites us to a thoroughgoing Aristotelian critique of ...
Ron Allen
wavelets@...
Jun 27, 2003 12:13 am
687
Hello again Klein readers: I am fresh back from a vacation stay where the oxygen was thin, and I was mostly convinced that I depended on physical and...
Ron Allen
wavelets@...
Jul 8, 2003 6:05 am
688
Hi Ron Just a thought, but are not mathematicals taken as secure by mathematicians. But philosophers see them as images derived from more solid elements? Bill ...
Hi Bill: Yes, that's a good point. If we go back to the divided line; put the mathematicals on the lower part of the upper, noetic realm; and note that a...
Ron Allen
wavelets@...
Jul 10, 2003 4:53 pm
690
I am pleased to announce the creation of two new slow reading lists -- for Plato's Lysis (plato-lysis@yahoogroups.com) and Plato's Philebus ...
I will be away from internet access from August 10 until August 17 (I will be vacationing in a cottage on the shore of the Black Sea in Sarpi -- about 130 km....
Hello furtive Klein groupies: Let me try posting this comment again; previous effort via another browser/server seemed to fail. I have to retype it too....
Ron Allen
wavelets@...
Sep 12, 2003 4:03 am
693
... Ross is incorrect, because his generation of numbers are apart from the whole from which they derive. He approaches numbers as if they were separate in the...
Mr. Pehmy, By what means do you imagine that "distinct slice of unity" possess an infinitinomial slice of intelligibility? With due regard, J Keyser...
Ah, ha, ha, ha, ha! Kalev Pehme, it's good to see you're back spamsophosizing us, and that the long respite hasn't infected you with either lucidness or ...
Ron Allen
wavelets@...
Sep 12, 2003 3:58 pm
696
... Isn't a "thing" a slice of "thought," so to speak? I believe the problem may be put in the following way: What is the whole (in the Platonic sense, as...
Hi Klein students: We're talking about this exegetical problem of the derivation of eidetic numbers in Plato. There is a passage in the Parmenides which lays...
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