Re: Prime numbers

2013-05-26 Thread Bruno Marchal
John, On 26 May 2013, at 00:54, John Mikes wrote: Bruno and others: did you read http://www.slate.com/articles/health_and_science/do_the_math/2013/05/yitang_zhang_twin_primes_conjecture_a_huge_discovery_about_prime_numbers.single.html the information about prof. Zhang's discovery (U of New

Re: Prime numbers

2013-05-25 Thread meekerdb
http://www.newscientist.com/article/dn23595-weinsteins-theory-of-everything-is-probably-nothing.html Brent On 5/25/2013 3:54 PM, John Mikes wrote: Bruno and others: did you read

Re: An additional observation-- But only the prime numbers can be monads. Cool.

2012-12-08 Thread Bruno Marchal
On 07 Dec 2012, at 14:57, Roger Clough wrote: Here's an additional observation-- Only the prime numbers can be monads, because all other integers can not be subdivided and still remain integers. Hmm... numbers are monad when seen as index of a partial computable function

Re: Re: An additional observation-- But only the prime numbers can bemonads. Cool.

2012-12-08 Thread Roger Clough
...@verizon.net] 12/8/2012 Forever is a long time, especially near the end. -Woody Allen - Receiving the following content - From: Bruno Marchal Receiver: everything-list Time: 2012-12-08, 05:09:15 Subject: Re: An additional observation-- But only the prime numbers can bemonads. Cool

Re: An additional observation-- But only the prime numbers can bemonads. Cool.

2012-12-08 Thread Bruno Marchal
], [rclo...@verizon.net] 12/8/2012 Forever is a long time, especially near the end. -Woody Allen - Receiving the following content - From: Bruno Marchal Receiver: everything-list Time: 2012-12-08, 05:09:15 Subject: Re: An additional observation-- But only the prime numbers can bemonads

An additional observation-- But only the prime numbers can be monads. Cool.

2012-12-07 Thread Roger Clough
Here's an additional observation-- Only the prime numbers can be monads, because all other integers can not be subdivided and still remain integers. Cool. - Have received the following content - Sender: Roger Clough Receiver: everything-list Time: 2012-12-07, 08:33:37 Subject

Re: Prime Numbers

2012-09-28 Thread Bruno Marchal
On 27 Sep 2012, at 18:46, meekerdb wrote: On 9/27/2012 1:19 AM, Bruno Marchal wrote: On 26 Sep 2012, at 19:29, meekerdb wrote: On 9/25/2012 9:51 PM, Jason Resch wrote: On Sep 25, 2012, at 11:05 PM, meekerdb meeke...@verizon.net wrote: snip So you mean if some mathematical

Re: Prime Numbers

2012-09-27 Thread Bruno Marchal
On 26 Sep 2012, at 19:29, meekerdb wrote: On 9/25/2012 9:51 PM, Jason Resch wrote: On Sep 25, 2012, at 11:05 PM, meekerdb meeke...@verizon.net wrote: snip So you mean if some mathematical object implies a contradiction it doesn't exist, e.g. the largest prime number. But then of

Re: Prime Numbers

2012-09-27 Thread meekerdb
On 9/27/2012 1:19 AM, Bruno Marchal wrote: On 26 Sep 2012, at 19:29, meekerdb wrote: On 9/25/2012 9:51 PM, Jason Resch wrote: On Sep 25, 2012, at 11:05 PM, meekerdb meeke...@verizon.net wrote: snip So you mean if some mathematical object implies a contradiction it doesn't exist,

Re: Prime Numbers

2012-09-26 Thread meekerdb
On 9/25/2012 9:51 PM, Jason Resch wrote: On Sep 25, 2012, at 11:05 PM, meekerdb meeke...@verizon.net wrote: On 9/25/2012 8:54 PM, Jason Resch wrote: On Sep 25, 2012, at 10:27 PM, meekerdb meeke...@verizon.net wrote: On 9/25/2012 4:07 PM, Jason Resch wrote: Yes. If we cannot prove that

Re: Prime Numbers

2012-09-26 Thread Jason Resch
On Sep 26, 2012, at 12:29 PM, meekerdb meeke...@verizon.net wrote: On 9/25/2012 9:51 PM, Jason Resch wrote: On Sep 25, 2012, at 11:05 PM, meekerdb meeke...@verizon.net wrote: On 9/25/2012 8:54 PM, Jason Resch wrote: On Sep 25, 2012, at 10:27 PM, meekerdb meeke...@verizon.net wrote:

Re: Prime Numbers

2012-09-26 Thread meekerdb
On 9/26/2012 12:11 PM, Jason Resch wrote: On Sep 26, 2012, at 12:29 PM, meekerdb meeke...@verizon.net wrote: On 9/25/2012 9:51 PM, Jason Resch wrote: On Sep 25, 2012, at 11:05 PM, meekerdb meeke...@verizon.net wrote: On 9/25/2012 8:54 PM, Jason Resch wrote: On Sep 25, 2012, at 10:27

Re: Prime Numbers

2012-09-26 Thread Jason Resch
On Wed, Sep 26, 2012 at 2:33 PM, meekerdb meeke...@verizon.net wrote: On 9/26/2012 12:11 PM, Jason Resch wrote: On Sep 26, 2012, at 12:29 PM, meekerdb meeke...@verizon.net wrote: On 9/25/2012 9:51 PM, Jason Resch wrote: On Sep 25, 2012, at 11:05 PM, meekerdb meeke...@verizon.net

Re: Prime Numbers

2012-09-26 Thread meekerdb
On 9/26/2012 2:53 PM, Jason Resch wrote: On Wed, Sep 26, 2012 at 2:33 PM, meekerdb meeke...@verizon.net mailto:meeke...@verizon.net wrote: On 9/26/2012 12:11 PM, Jason Resch wrote: On Sep 26, 2012, at 12:29 PM, meekerdb meeke...@verizon.net mailto:meeke...@verizon.net

Re: Prime Numbers

2012-09-26 Thread Jason Resch
On Wed, Sep 26, 2012 at 5:01 PM, meekerdb meeke...@verizon.net wrote: On 9/26/2012 2:53 PM, Jason Resch wrote: On Wed, Sep 26, 2012 at 2:33 PM, meekerdb meeke...@verizon.net wrote: On 9/26/2012 12:11 PM, Jason Resch wrote: On Sep 26, 2012, at 12:29 PM, meekerdb meeke...@verizon.net

Re: Re: Prime Numbers

2012-09-25 Thread Roger Clough
the end. -Woody Allen - Receiving the following content - From: Stephen P. King Receiver: everything-list Time: 2012-09-24, 10:42:12 Subject: Re: Prime Numbers On 9/24/2012 9:46 AM, Roger Clough wrote: God's ideas is fine. The numbers and arithmetic etc. can inhere in some

Re: Re: Prime Numbers

2012-09-25 Thread Jason Resch
On Tue, Sep 25, 2012 at 7:35 AM, Roger Clough rclo...@verizon.net wrote: Hi Stephen P. King Yes, I think that the structures and attributes of matter are provided by a creator (the All, the supreme monad, or God). Plato used the analogy of geometrical shapes for his structures. But if

Re: Prime Numbers

2012-09-25 Thread Stephen P. King
On 9/25/2012 10:24 AM, Jason Resch wrote: On Tue, Sep 25, 2012 at 7:35 AM, Roger Clough rclo...@verizon.net mailto:rclo...@verizon.net wrote: Hi Stephen P. King Yes, I think that the structures and attributes of matter are provided by a creator (the All, the supreme

Re: Prime Numbers

2012-09-25 Thread Jason Resch
On Tue, Sep 25, 2012 at 5:37 PM, Stephen P. King stephe...@charter.netwrote: On 9/25/2012 10:24 AM, Jason Resch wrote: On Tue, Sep 25, 2012 at 7:35 AM, Roger Clough rclo...@verizon.net wrote: Hi Stephen P. King Yes, I think that the structures and attributes of matter are provided by

Re: Prime Numbers

2012-09-25 Thread Stephen P. King
On 9/25/2012 7:07 PM, Jason Resch wrote: On Tue, Sep 25, 2012 at 5:37 PM, Stephen P. King stephe...@charter.net mailto:stephe...@charter.net wrote: On 9/25/2012 10:24 AM, Jason Resch wrote: On Tue, Sep 25, 2012 at 7:35 AM, Roger Clough rclo...@verizon.net

Re: Prime Numbers

2012-09-25 Thread meekerdb
On 9/25/2012 4:07 PM, Jason Resch wrote: Yes. If we cannot prove that their existence is self-contradictory Propositions can be self contradictory, but how can existence of something be self-contradictory? Brent then we should consider them as possible. Just because I cannot experience

Re: Prime Numbers

2012-09-25 Thread Jason Resch
On Sep 25, 2012, at 10:27 PM, meekerdb meeke...@verizon.net wrote: On 9/25/2012 4:07 PM, Jason Resch wrote: Yes. If we cannot prove that their existence is self-contradictory Propositions can be self contradictory, but how can existence of something be self-contradictory? Brent

Re: Prime Numbers

2012-09-25 Thread meekerdb
On 9/25/2012 8:54 PM, Jason Resch wrote: On Sep 25, 2012, at 10:27 PM, meekerdb meeke...@verizon.net wrote: On 9/25/2012 4:07 PM, Jason Resch wrote: Yes. If we cannot prove that their existence is self-contradictory Propositions can be self contradictory, but how can existence of

Re: Prime Numbers

2012-09-25 Thread Jason Resch
On Sep 25, 2012, at 11:05 PM, meekerdb meeke...@verizon.net wrote: On 9/25/2012 8:54 PM, Jason Resch wrote: On Sep 25, 2012, at 10:27 PM, meekerdb meeke...@verizon.net wrote: On 9/25/2012 4:07 PM, Jason Resch wrote: Yes. If we cannot prove that their existence is self-contradictory

Re: Re: Prime Numbers

2012-09-24 Thread Roger Clough
content - From: Bruno Marchal Receiver: everything-list Time: 2012-09-23, 03:42:03 Subject: Re: Prime Numbers On 22 Sep 2012, at 22:10, Stephen P. King wrote: On 9/22/2012 7:32 AM, Roger Clough wrote: How could mathematics be fiction ? If so, then we could simply say that 2+2=5

Re: Re: Prime Numbers

2012-09-24 Thread Roger Clough
are always real (in the philosophical sense). Roger Clough, rclo...@verizon.net 9/24/2012 Forever is a long time, especially near the end. -Woody Allen - Receiving the following content - From: Bruno Marchal Receiver: everything-list Time: 2012-09-23, 03:42:03 Subject: Re: Prime

Re: Re: Prime Numbers

2012-09-24 Thread Roger Clough
. Roger Clough, rclo...@verizon.net 9/24/2012 Forever is a long time, especially near the end. -Woody Allen - Receiving the following content - From: Stephen P. King Receiver: everything-list Time: 2012-09-22, 16:10:38 Subject: Re: Prime Numbers On 9/22/2012 7:32 AM, Roger

Re: Prime Numbers

2012-09-24 Thread Bruno Marchal
On 24 Sep 2012, at 12:39, Roger Clough wrote: Hi Bruno Marchal Numbers are not in spacetime, that is, are not at location r at time t. So they are ideas, God's ideas? Then I am OK. The comp God is arithmetical truth, so this works. they are not physical. OK. To be physical

Re: Re: Prime Numbers

2012-09-24 Thread Roger Clough
Clough, rclo...@verizon.net 9/24/2012 Forever is a long time, especially near the end. -Woody Allen - Receiving the following content - From: Bruno Marchal Receiver: everything-list Time: 2012-09-24, 09:12:29 Subject: Re: Prime Numbers On 24 Sep 2012, at 12:39, Roger Clough wrote

Re: Prime Numbers

2012-09-24 Thread Stephen P. King
On 9/24/2012 9:46 AM, Roger Clough wrote: God's ideas is fine. The numbers and arithmetic etc. can inhere in some mind. The numbers are (idealistically) real, as I think all arithmetic must be. For it is true whether known or not. At least as you stay with common numbers and arithmetic. Pretty

Re: Prime Numbers

2012-09-23 Thread Bruno Marchal
On 22 Sep 2012, at 22:10, Stephen P. King wrote: On 9/22/2012 7:32 AM, Roger Clough wrote: How could mathematics be fiction ? If so, then we could simply say that 2+2=5 because it's saturday. How could we have a world we many minds can, on rare occasions, come to complete agreement if that

Re: Prime Numbers

2012-09-23 Thread Stephen P. King
On 9/23/2012 3:42 AM, Bruno Marchal wrote: On 22 Sep 2012, at 22:10, Stephen P. King wrote: On 9/22/2012 7:32 AM, Roger Clough wrote: How could mathematics be fiction ? If so, then we could simply say that 2+2=5 because it's saturday. How could we have a world we many minds can, on rare

Re: Re: Prime Numbers

2012-09-22 Thread Roger Clough
Receiver: everything-list Time: 2012-09-21, 09:20:41 Subject: Re: Prime Numbers Just to avoid confusion, this sentence: I would say that mathematics is just very tightly plotted fiction where so many details of the story are known up front that the plot can only progress in very specific

Re: Re: Prime Numbers

2012-09-22 Thread Roger Clough
or vice versa. Roger Clough, rclo...@verizon.net 9/22/2012 Forever is a long time, especially near the end. -Woody Allen - Receiving the following content - From: Terren Suydam Receiver: everything-list Time: 2012-09-21, 12:29:56 Subject: Re: Prime Numbers On Fri, Sep 21, 2012 at 8:40

Re: Re: Prime Numbers

2012-09-22 Thread Roger Clough
- Receiving the following content - From: meekerdb Receiver: everything-list Time: 2012-09-21, 13:30:03 Subject: Re: Prime Numbers On 9/21/2012 5:40 AM, Rex Allen wrote: On Tue, Sep 18, 2012 at 11:50 PM, Terren Suydam terren.suy...@gmail.com wrote: On Tue, Sep 18, 2012 at 10:19 PM, Rex Allen

Re: Prime Numbers

2012-09-22 Thread Bruno Marchal
On 21 Sep 2012, at 19:17, meekerdb wrote: On 9/21/2012 1:22 AM, Bruno Marchal wrote: On 20 Sep 2012, at 20:14, meekerdb wrote: On 9/20/2012 10:31 AM, Bruno Marchal wrote: On 20 Sep 2012, at 18:14, meekerdb wrote: On 9/20/2012 2:05 AM, Bruno Marchal wrote: A modal logic of probability

Re: Prime Numbers

2012-09-22 Thread Stephen P. King
On 9/22/2012 7:32 AM, Roger Clough wrote: How could mathematics be fiction ? If so, then we could simply say that 2+2=5 because it's saturday. How could we have a world we many minds can, on rare occasions, come to complete agreement if that where the case? Perhaps it is true that 2+2=4

Re: Prime Numbers

2012-09-21 Thread Bruno Marchal
On 20 Sep 2012, at 20:14, meekerdb wrote: On 9/20/2012 10:31 AM, Bruno Marchal wrote: On 20 Sep 2012, at 18:14, meekerdb wrote: On 9/20/2012 2:05 AM, Bruno Marchal wrote: A modal logic of probability is given by the behavior of the probability one. In Kripke terms, P(x) = 1 in world

Re: Prime Numbers

2012-09-21 Thread Rex Allen
On Tue, Sep 18, 2012 at 11:50 PM, Terren Suydam terren.suy...@gmail.comwrote: On Tue, Sep 18, 2012 at 10:19 PM, Rex Allen rexallen31...@gmail.com wrote: On Mon, Sep 17, 2012 at 1:36 PM, Terren Suydam terren.suy...@gmail.com wrote: Rex, Do you have a non-platonist explanation for

Re: Prime Numbers

2012-09-21 Thread Rex Allen
On Wed, Sep 19, 2012 at 12:27 AM, Jason Resch jasonre...@gmail.com wrote: On Sep 18, 2012, at 9:19 PM, Rex Allen rexallen31...@gmail.com wrote: On Mon, Sep 17, 2012 at 1:36 PM, Terren Suydam terren.suy...@gmail.com terren.suy...@gmail.com wrote: Rex, Do you have a non-platonist

Re: Prime Numbers

2012-09-21 Thread Jason Resch
On Sep 21, 2012, at 8:13 AM, Rex Allen rexallen31...@gmail.com wrote: On Wed, Sep 19, 2012 at 12:27 AM, Jason Resch jasonre...@gmail.com wrote: On Sep 18, 2012, at 9:19 PM, Rex Allen rexallen31...@gmail.com wrote: On Mon, Sep 17, 2012 at 1:36 PM, Terren Suydam terren.suy...@gmail.com

Re: Prime Numbers

2012-09-21 Thread Terren Suydam
On Fri, Sep 21, 2012 at 8:40 AM, Rex Allen rexallen31...@gmail.com wrote: On Tue, Sep 18, 2012 at 11:50 PM, Terren Suydam terren.suy...@gmail.com wrote: I'm curious about what a plausible fictionalist account of the Mandelbrot set could be. Is fictionalism the same as constructivism, or the

Re: Prime Numbers

2012-09-21 Thread meekerdb
On 9/21/2012 1:22 AM, Bruno Marchal wrote: On 20 Sep 2012, at 20:14, meekerdb wrote: On 9/20/2012 10:31 AM, Bruno Marchal wrote: On 20 Sep 2012, at 18:14, meekerdb wrote: On 9/20/2012 2:05 AM, Bruno Marchal wrote: A modal logic of probability is given by the behavior of the probability

Re: Prime Numbers

2012-09-21 Thread meekerdb
On 9/21/2012 5:40 AM, Rex Allen wrote: On Tue, Sep 18, 2012 at 11:50 PM, Terren Suydam terren.suy...@gmail.com mailto:terren.suy...@gmail.com wrote: On Tue, Sep 18, 2012 at 10:19 PM, Rex Allen rexallen31...@gmail.com mailto:rexallen31...@gmail.com wrote: On Mon, Sep 17, 2012

Re: Prime Numbers

2012-09-21 Thread meekerdb
On 9/21/2012 8:59 AM, Jason Resch wrote: On Sep 21, 2012, at 8:13 AM, Rex Allen rexallen31...@gmail.com mailto:rexallen31...@gmail.com wrote: On Wed, Sep 19, 2012 at 12:27 AM, Jason Resch jasonre...@gmail.com mailto:jasonre...@gmail.com wrote: On Sep 18, 2012, at 9:19 PM, Rex Allen

Re: Prime Numbers

2012-09-21 Thread Rex Allen
Just to avoid confusion, this sentence: *I would say that mathematics is just very tightly plotted fiction where so many details of the story are known up front that the plot can only progress in very specific ways if it is to remain consistent and believable to the reader.* Should probably be:

Re: Prime Numbers

2012-09-21 Thread Jason Resch
On Fri, Sep 21, 2012 at 1:55 PM, meekerdb meeke...@verizon.net wrote: On 9/21/2012 8:59 AM, Jason Resch wrote: On Sep 21, 2012, at 8:13 AM, Rex Allen rexallen31...@gmail.com wrote: On Wed, Sep 19, 2012 at 12:27 AM, Jason Resch jasonre...@gmail.comwrote: On Sep 18, 2012, at 9:19 PM,

Re: Prime Numbers

2012-09-21 Thread meekerdb
On 9/21/2012 12:56 PM, Jason Resch wrote: On Fri, Sep 21, 2012 at 1:55 PM, meekerdb meeke...@verizon.net mailto:meeke...@verizon.net wrote: On 9/21/2012 8:59 AM, Jason Resch wrote: On Sep 21, 2012, at 8:13 AM, Rex Allen rexallen31...@gmail.com mailto:rexallen31...@gmail.com

Re: Prime Numbers

2012-09-20 Thread Bruno Marchal
On 19 Sep 2012, at 21:51, Stephen P. King wrote: On 9/19/2012 2:39 PM, Bruno Marchal wrote: Dear Bruno, Your remarks raise an interesting question: Could it be that both the object and the means to generate (or perceive) it are of equal importance ontologically? Yes. It comes from

Re: Prime Numbers

2012-09-20 Thread meekerdb
On 9/20/2012 2:05 AM, Bruno Marchal wrote: A modal logic of probability is given by the behavior of the probability one. In Kripke terms, P(x) = 1 in world alpha means that x is realized in all worlds accessible from alpha, and (key point) that we are not in a cul-de-sac world. What does

Re: Prime Numbers

2012-09-20 Thread Bruno Marchal
On 20 Sep 2012, at 18:14, meekerdb wrote: On 9/20/2012 2:05 AM, Bruno Marchal wrote: A modal logic of probability is given by the behavior of the probability one. In Kripke terms, P(x) = 1 in world alpha means that x is realized in all worlds accessible from alpha, and (key point) that

Re: Prime Numbers

2012-09-19 Thread Bruno Marchal
On 18 Sep 2012, at 18:02, meekerdb wrote: On 9/18/2012 8:13 AM, Bruno Marchal wrote: On 17 Sep 2012, at 22:25, meekerdb wrote: But did anybody think z' = z^2 + c was interesting before that? Yes. This was known by people like Fatou and Julia, in the early 1900. I knew they

Re: Prime Numbers

2012-09-19 Thread Stephen P. King
On 9/19/2012 8:39 AM, Bruno Marchal wrote: On 18 Sep 2012, at 18:02, meekerdb wrote: On 9/18/2012 8:13 AM, Bruno Marchal wrote: On 17 Sep 2012, at 22:25, meekerdb wrote: But did anybody think z' = z^2 + c was interesting before that? Yes. This was known by people like Fatou and Julia,

Re: Prime Numbers

2012-09-19 Thread Bruno Marchal
On 19 Sep 2012, at 17:03, Stephen P. King wrote: On 9/19/2012 8:39 AM, Bruno Marchal wrote: On 18 Sep 2012, at 18:02, meekerdb wrote: On 9/18/2012 8:13 AM, Bruno Marchal wrote: On 17 Sep 2012, at 22:25, meekerdb wrote: But did anybody think z' = z^2 + c was interesting before that?

Re: Prime Numbers

2012-09-19 Thread Stephen P. King
On 9/19/2012 2:39 PM, Bruno Marchal wrote: Dear Bruno, Your remarks raise an interesting question: Could it be that both the object and the means to generate (or perceive) it are of equal importance ontologically? Yes. It comes from the embedding of the subject in the objects, that any

Re: Prime Numbers

2012-09-18 Thread Bruno Marchal
On 17 Sep 2012, at 22:25, meekerdb wrote: But did anybody think z' = z^2 + c was interesting before that? Yes. This was known by people like Fatou and Julia, in the early 1900. Iterating analytical complex functions leads to the Mandelbrot fractal sets, or similar. The computer has

Re: Prime Numbers

2012-09-18 Thread meekerdb
On 9/18/2012 8:13 AM, Bruno Marchal wrote: On 17 Sep 2012, at 22:25, meekerdb wrote: But did anybody think z' = z^2 + c was interesting before that? Yes. This was known by people like Fatou and Julia, in the early 1900. I knew they considered what are now called fractal sets, but not

Re: Prime Numbers

2012-09-18 Thread Rex Allen
On Mon, Sep 17, 2012 at 1:36 PM, Terren Suydam terren.suy...@gmail.comwrote: Rex, Do you have a non-platonist explanation for the discovery of the Mandelbrot set and the infinite complexity therein? I find fictionalism to be the most plausible view of mathematics, with all that implies for

Re: Prime Numbers

2012-09-18 Thread Terren Suydam
On Tue, Sep 18, 2012 at 10:19 PM, Rex Allen rexallen31...@gmail.com wrote: On Mon, Sep 17, 2012 at 1:36 PM, Terren Suydam terren.suy...@gmail.com wrote: Rex, Do you have a non-platonist explanation for the discovery of the Mandelbrot set and the infinite complexity therein? I find

Re: Prime Numbers

2012-09-18 Thread Jason Resch
On Sep 18, 2012, at 9:19 PM, Rex Allen rexallen31...@gmail.com wrote: On Mon, Sep 17, 2012 at 1:36 PM, Terren Suydam terren.suy...@gmail.com wrote: Rex, Do you have a non-platonist explanation for the discovery of the Mandelbrot set and the infinite complexity therein? I find

Re: Prime Numbers

2012-09-18 Thread meekerdb
On 9/18/2012 9:27 PM, Jason Resch wrote: The unreasonable effectiveness of math in the physical sciences is yet further support if Platonism. I don't see that this follows. If we invent language, including mathematics, to describe our theories of the world that explains their effectiveness.

Re: Prime Numbers

2012-09-17 Thread Jason Resch
perceptions of the world find anything that is close to a PHI valued relationship to be beautiful? Thanks Stephen! Actually my initial example of numeracy isn't quite right, but it's not important to the rest of the argument. My main point is that you can get to the concept of prime numbers

Re: Prime Numbers

2012-09-17 Thread Rex Allen
On Mon, Sep 17, 2012 at 2:05 AM, Jason Resch jasonre...@gmail.com wrote: I think an easier way to intuit prime numbers that can't be represented as rectangles, only a 1-wide lines. While the concept of primes is straight forward, there is an unending set of not-so-obvious facts that we

Re: Prime Numbers

2012-09-17 Thread Terren Suydam
, Jason Resch jasonre...@gmail.com wrote: I think an easier way to intuit prime numbers that can't be represented as rectangles, only a 1-wide lines. While the concept of primes is straight forward, there is an unending set of not-so-obvious facts that we continue to discover about the Primes

Re: Prime Numbers

2012-09-17 Thread meekerdb
On 9/17/2012 10:36 AM, Terren Suydam wrote: Rex, Do you have a non-platonist explanation for the discovery of the Mandelbrot set and the infinite complexity therein? How can you make sense of that in terms of the constructivist point of view How can you make sense of it otherwise. The

Re: Prime Numbers

2012-09-17 Thread Terren Suydam
I would say computers were the tool that allowed us to see it, like a microscope allowed us to see bacteria, and a telescope stars. On Mon, Sep 17, 2012 at 3:14 PM, meekerdb meeke...@verizon.net wrote: On 9/17/2012 10:36 AM, Terren Suydam wrote: Rex, Do you have a non-platonist explanation

Re: Prime Numbers

2012-09-17 Thread meekerdb
But did anybody think z' = z^2 + c was interesting before that? Bretn On 9/17/2012 1:17 PM, Terren Suydam wrote: I would say computers were the tool that allowed us to see it, like a microscope allowed us to see bacteria, and a telescope stars. On Mon, Sep 17, 2012 at 3:14 PM,

Re: Prime Numbers

2012-09-17 Thread Terren Suydam
Benoit Mandelbrot did. But what does interesting have to do with it? Did anyone think that empty patch of sky was interesting before Hubble turned it into one of the most amazing photos ever taken? On Mon, Sep 17, 2012 at 4:25 PM, meekerdb meeke...@verizon.net wrote: But did anybody think z' =

Re: Prime Numbers

2012-09-17 Thread meekerdb
On 9/17/2012 2:45 PM, Terren Suydam wrote: Benoit Mandelbrot did. I wasn't aware of that. Did he have a proof of the fractal nature of the set before he calculated it? Brent But what does interesting have to do with it? Did anyone think that empty patch of sky was interesting before

Re: Prime Numbers

2012-09-17 Thread Terren Suydam
On Mon, Sep 17, 2012 at 6:52 PM, meekerdb meeke...@verizon.net wrote: On 9/17/2012 2:45 PM, Terren Suydam wrote: Benoit Mandelbrot did. I wasn't aware of that. Did he have a proof of the fractal nature of the set before he calculated it? Brent I don't know. I doubt it, I'm not even sure

Prime Numbers

2012-09-16 Thread Rex Allen
abstractions on top of this fundamental skill. SO - prime numbers, I think, emerge from a peculiar characteristic of our ability to judge relative magnitudes, and the way this feeds into the abstractions we build on top of that ability. =*= Let’s say you take a board and divide it into 3 sections

Re: Prime Numbers

2012-09-16 Thread Stephen P. King
, and in our ability to build higher level abstractions on top of this fundamental skill. SO - prime numbers, I think, emerge from a peculiar characteristic of our ability to judge relative magnitudes, and the way this feeds into the abstractions we build on top of that ability. =*= Let’s say you take

Re: Prime Numbers

2012-09-16 Thread Rex Allen
relationship to be beautiful? Thanks Stephen! Actually my initial example of numeracy isn't quite right, but it's not important to the rest of the argument. My main point is that you can get to the concept of prime numbers just using relative magnitudes that we have an innate sense

Re: prime numbers etc

2012-09-07 Thread John Mikes
Touche. But I don't believe (in?) it - I am agnostic. Nonbeliever. (SONG: I lost my turf in San Francisco) J On Thu, Sep 6, 2012 at 10:36 PM, Stathis Papaioannou stath...@gmail.comwrote: On Fri, Sep 7, 2012 at 8:07 AM, John Mikes jami...@gmail.com wrote: Stathis wrote (to Craig): But you

Could we have invented the prime numbers ? Ie, are they platonic or man-created ?

2012-09-06 Thread Roger Clough
Hi Stathis Papaioannou If the prime numbers were there from the beginning, before man, then I think they were mind-created (platonic) not brain-created (human creations). Are the prime numbers an invention by man or one of man's discoveries ? I believe that the prime numbers are not a human

Re: Could we have invented the prime numbers ?

2012-09-06 Thread Stephen P. King
Dear Roger, Could the mere possibility of being a number (without the specificity of which one) be considered to be there from the beginning? On 9/6/2012 7:47 AM, Roger Clough wrote: Hi Stathis Papaioannou If the prime numbers were there from the beginning, before man, then I think

prime numbers etc

2012-09-06 Thread John Mikes
Stathis wrote (to Craig): *But you believe that the neurochemicals do things contrary to what chemists would predict, for example an ion channel opening or closing without any cause such as a change in transmembrane potential or ligand concentration. We've talked about this before and it just

Re: prime numbers etc

2012-09-06 Thread Stathis Papaioannou
On Fri, Sep 7, 2012 at 8:07 AM, John Mikes jami...@gmail.com wrote: Stathis wrote (to Craig): But you believe that the neurochemicals do things contrary to what chemists would predict, for example an ion channel opening or closing without any cause such as a change in transmembrane potential

Re: Do prime numbers have free will?

2006-04-11 Thread John M
--- Stathis Papaioannou [EMAIL PROTECTED] wrote: among others: * I understood Tom's phrase atomic parts as meaning component parts rather than literally what scientists call atoms fine, I used Tom's word. It went to a nice extreme. * Then about 'rules': It was deliberately left

Re: Do prime numbers have free will?

2006-04-10 Thread Stathis Papaioannou
John M writes: Tom Caylor writes: 1) The reductionist definition that something is determined by the sum of atomic parts and rules. So how about this: EITHER something is determined by the sum of atomic parts and rules OR it is truly random. Sum of atomic parts? I am not sure

Re: Do prime numbers have free will?

2006-04-07 Thread Bruno Marchal
Brent Meeker wrote: Unfortunately there is no way to distinguish true randomness from just unpredictable randomness. So there are theories of QM in which the randomness is just unpredictable, like Bohm's - and here's a recent paper on that theme you may find interesting:

Re: Do prime numbers have free will?

2006-04-07 Thread Bruno Marchal
Le 06-avr.-06, à 10:04, Dominic Tarr a écrit : Bruno wrote ... Karl Popper did make an attempt to explain free-will in term of self-diagonalization indeed. The basic and simple idea is that IF I can totally predict myself, then I have the opportunity to refute such a prediction. This is

Re: Do prime numbers have free will?

2006-04-06 Thread Dominic Tarr
...Karl Popper did make an attempt to explain free-will in term of self-diagonalization indeed. The basic and simple idea is that IF I can totally predict myself, then I have the opportunity to refute such a prediction. This is why in a trial your lawyer cannot invoke determinacy (like my

Re: Do prime numbers have free will?

2006-04-06 Thread Brent Meeker
Stathis Papaioannou wrote: Tom Caylor writes: 1) The reductionist definition that something is determined by the sum of atomic parts and rules. So how about this: EITHER something is determined by the sum of atomic parts and rules OR it is truly random. There are two mechanisms

SV: Do prime numbers have free will?

2006-04-06 Thread Lennart Nilsson
the typicality of type-A observations be the limit of f(A) as R---infinity. -Ursprungligt meddelande- Från: everything-list@googlegroups.com [mailto:[EMAIL PROTECTED] För Brent Meeker Skickat: den 6 april 2006 18:21 Till: everything-list@googlegroups.com Ämne: Re: Do prime numbers have free

Re: SV: Do prime numbers have free will?

2006-04-06 Thread John M
@googlegroups.com Ämne: Re: Do prime numbers have free will? Stathis Papaioannou wrote: Tom Caylor writes: 1) The reductionist definition that something is determined by the sum of atomic parts and rules. So how about this: EITHER something is determined by the sum

Re: Do prime numbers have free will?

2006-04-06 Thread Dominic Tarr
however, as a person's local environment might plausibly contain a computer which modeled their local environment and predicted their behaviour. so the model would actually have to model itself, Why assume the computer is part of the person's environment? because it might be. now

Do prime numbers have free will?

2006-04-04 Thread Bruno Marchal
instructive to see that primes already behaves like that There are two facts about the distribution of prime numbers of which I hope to convince you so overwhelmingly that they will be permanently engraved in your hearts. The first is that, despite their simple definition and role as the building

Re: Do prime numbers have free will?

2006-04-04 Thread daddycaylor
because it can be defined only negatively. Free from what? Tom -Original Message- From: Bruno Marchal [EMAIL PROTECTED] To: FoR [EMAIL PROTECTED] Cc: everything-list@googlegroups.com Sent: Tue, 4 Apr 2006 17:42:03 +0200 Subject: Do prime numbers have free will? Hi, I love so much

Re: Do prime numbers have free will?

2006-04-04 Thread John M
. There's *probably* a *deterministic* reason for that too. ;) Tom -Original Message- From: John M [EMAIL PROTECTED] To: everything-list@googlegroups.com Sent: Tue, 4 Apr 2006 11:57:21 -0700 (PDT) Subject: Re: Do prime numbers have free will? Tom, I did not shoot my