Dear Milo ... In Ancient Greek there is the definite article o, H, to (masculine,feminine,neuter). There is no indefinite article. So if I find a noun with no...
Bill Oates
boates1@...
Feb 1, 2000 1:24 pm
123
Bill suggested tht Plato thought arithmetic was broken into four parts, a point that was not included in the Republic. Note that the five mathematical subjects...
milo.gardner@...
Feb 1, 2000 2:13 pm
124
Milo Gardner writes: [snip] ... Harmonics are the music of the spheres. Best regards, Kalev Pehme...
Kalev Pehme
pehme@...
Feb 1, 2000 3:17 pm
125
Milo ... I am unsure whether you would disagree with Klein's investigation which goes through the Gorgias, the Theaetetus, the Charmides, and the Laws and...
Bill Oates
boates1@...
Feb 1, 2000 3:21 pm
126
Kalev is correct, the music of the spheres does include a Pythagorean element; however, to Plato harmonics stressed astronomy in a way that Pythagoreans would...
milo.gardner@...
Feb 1, 2000 7:17 pm
127
Please unsubscribe me from this list. It has been very interesting to receive the messages, but right now I do not have enough time to really participate in...
Laura V Arcila
arcila@...
Feb 2, 2000 2:34 am
128
In a message dated 2/1/00 7:22:58 AM Pacific Standard Time, pehme@... writes: << Harmonics are the music of the spheres. ... I assume that this...
Saicho@...
Feb 2, 2000 5:30 pm
129
... The great spheres of the universe! Sadly, they are no longer with us. What we find in the old cosmos is a Platonic effort to develop a theory of harmonics...
Kalev Pehme
pehme@...
Feb 2, 2000 6:20 pm
130
Dear Kleinians Once again if I may indulge, the following is my next in the series of investigations into modern mathematical physics. Plato will have to wait ...
Bill Oates
boates1@...
Feb 3, 2000 3:06 am
131
In a message dated 1/25/00 5:31:05 PM, pehme@... writes: <<The differentiation is inherent in Being as 1=1/2 x 2= 1/3 x 3=1/4 x 4=1/5 x 5=...=0 x...
JCWENGER@...
Feb 4, 2000 12:44 pm
132
In a message dated 2/4/00 4:48:18 AM Pacific Standard Time, JCWENGER@... writes: << Please don't tell me that you think zero times infinity is one. It is...
Saicho@...
Feb 4, 2000 3:28 pm
133
Mr. Gardner wrote (2/1/00) Arithmetic includes two major elements, additive arithmetic and number theory, no more, no less! Even in the historical sense, if I...
J Keyser
jkeyser@...
Feb 5, 2000 2:45 am
134
FW: [klein] telosFrom: "Bill Oates" Subject: [klein] telos Date: Sun, Jan 23, 2000, 1:56 PM "Let me repeat however my interest is not merely historical... but...
J Keyser
jkeyser@...
Feb 5, 2000 2:49 am
135
J. Keyster suggested that my view of Platonic arithmetic trivializes its structure. Well, Socrates was given the Devil's Advocate role of showing a 'strawman'...
milo.gardner@...
Feb 5, 2000 2:58 am
136
dear Listmembers: I do not trivialize historical arithmetic, as Plato defined as arithmos. The four part structure that I see is: 1. rational numbers, infinite...
milo.gardner@...
Feb 5, 2000 1:14 pm
137
... I am so pleased that you picked up on my nasty bit of work here, which was meant to provoke the mathematicians. What you say is true of modern mathematics....
Kalev Pehme
pehme@...
Feb 5, 2000 2:19 pm
138
Dear J You wrote ... which you have laid out but let me remind you that the tools and >weapons of the friends of the republic were crafted below before they...
Bill Oates
boates1@...
Feb 5, 2000 5:54 pm
139
Some thoughts on J. Keyser’s post of 2/4 to Mr. Gardner: Keyser states “If one has not grasped the origins of mathematics . . . one cannot quite be...
Saicho@...
Feb 6, 2000 5:19 pm
140
Has anyone mentioned that Husserl ruminates about the origin of geometry in his essay of that title. It is translated in Appendix VI of The Crisis of European...
Samuel S. Kutler
s-kutler@...
Feb 6, 2000 12:06 pm
141
In a message dated 1/29/00 10:09:03 AM, pehme@... writes: <<As for the circle, is it not a uniform continuous motion around a point at a certain...
JCWENGER@...
Feb 6, 2000 8:42 pm
142
This same response, or something very much like it (in fact, almost word-for-word), was posted almost the same day that Professor (Mr./Ms.?) Pehme asked the...
Matt Insall
montez@...
Feb 6, 2000 11:19 pm
143
Some may be interested in Stanislas Dehaene's book "The Number Sense" Oxford press, 1999. Dehaene was a mathematician who became a cognitive neuropsychologist....
Saicho@...
Feb 7, 2000 4:49 pm
144
Bill, This was cryptic. But I trust that if all have not heard the beautiful lie they soon will. J p.s. Perhaps our greatest implements are our capacity for...
J Keyser
key@...
Feb 8, 2000 5:49 am
145
On 2/4/00 ... From: J Keyser February 04, 2000 8:45 PM <snip> But I wonder why you would wish to trivialize the education of the philosopher. <Sinp> Mr....
J Keyser
key@...
Feb 8, 2000 5:50 am
146
... Dear Mr. Pehme, This was way back: a month after Christmas. I am not surprised to find that I share a number of your opinions about metaphysics. But I...
J Keyser
key@...
Feb 8, 2000 5:50 am
147
... Sadly, Mr. Keyser, I am doomed. ... He's finished sharpening his ax. ... Nothing is not knowable, because it has no form. But what is formless is known as...
Kalev Pehme
pehme@...
Feb 8, 2000 12:03 pm
148
Dear J ... our ... making ... The CPM section I have read probably ten times and still willing to spend time with it. I still laugh at my not noticing that...
Bill Oates
boates1@...
Feb 8, 2000 1:28 pm
149
Dear Klein Fans Once again I push forward to the 1960's and a pieces by Quine. Does Quine tell us what a number is? Well that depends - yes that is his answer....
Bill Oates
boates1@...
Feb 11, 2000 8:28 pm
150
Bill Oates brings up Quine -- someone I admittedly had trouble fully understanding. Examples of why I was a bit confused by his premise (that logical truth...
Saicho@...
Feb 12, 2000 10:45 pm
151
Richard ... of ... Sorry but is this the preface to the book From a Logical Point of View? I will need to get it back out of the library to try and respond,...
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