The seven step-Mathematical preliminaries

2009-06-02 Thread Bruno Marchal
Hi Kim, Hi Marty and others, So it is perhaps time to do some math. Obviously, once we are open to the idea that the fundamental reality could be mathematical, it is normal to take some time to do some mathematics. Many people seems also to agree here that the computationalist hypothesis

Re: The seven step-Mathematical preliminaries

2009-06-02 Thread Brian Tenneson
Thank you for starting this discussion. I have only joined recently and have little knowledge of your research. To see it laid out in the sequence you describe should make it clear to me what it is all about. I'm particularly interested in the interaction between consciousness and

Re: The seven step-Mathematical preliminaries

2009-06-02 Thread Torgny Tholerus
Bruno Marchal skrev: 4) The set of all natural numbers. This set is hard to define, yet I hope you agree we can describe it by the infinite quasi exhaustion by {0, 1, 2, 3, ...}. Let N be the biggest number in the set {0, 1, 2, 3, ...}. Exercise: does the number N+1 belongs to the

RE: The seven step-Mathematical preliminaries

2009-06-02 Thread Jesse Mazer
Date: Tue, 2 Jun 2009 19:43:59 +0200 From: tor...@dsv.su.se To: everything-list@googlegroups.com Subject: Re: The seven step-Mathematical preliminaries Bruno Marchal skrev: 4) The set of all natural numbers. This set is hard to define, yet I hope you agree we can describe it by the

Re: The seven step-Mathematical preliminaries

2009-06-02 Thread Bruno Marchal
On 02 Jun 2009, at 18:54, Brian Tenneson wrote: Thank you for starting this discussion. I have only joined recently and have little knowledge of your research. To see it laid out in the sequence you describe should make it clear to me what it is all about. I'm particularly interested

Re: The seven step-Mathematical preliminaries

2009-06-02 Thread Bruno Marchal
On 02 Jun 2009, at 19:43, Torgny Tholerus wrote: Bruno Marchal skrev: 4) The set of all natural numbers. This set is hard to define, yet I hope you agree we can describe it by the infinite quasi exhaustion by {0, 1, 2, 3, ...}. Let N be the biggest number in the set {0, 1, 2, 3, ...}.

Re: The seven step-Mathematical preliminaries

2009-06-02 Thread Brian Tenneson
Thanks for the links. I'll look over them and hopefully I'll understand what I see. At least if I have questions I can ask though maybe not in this thread. I don't yet know precisely what you mean by a machine but I do have superficial knowledge of Turing machines; I'm assuming there is a

Re: The seven step-Mathematical preliminaries

2009-06-02 Thread Bruno Marchal
The beauty of all this, Brian, is that the correct (arithmetically) universal machine will never been able to answer the question are you a machine?, but she (it) will be able to bet she is a (unknown) machine. She will never know which one, and she will refute all theories saying which

Re: Consciousness is information?

2009-06-02 Thread Bruno Marchal
On 02 Jun 2009, at 18:46, Kelly Harmon wrote: First, in the multiplication experience, the question of your choice is not addressed, nor needed. The question is really: what will happen to you. You give the right answer above. You're saying that there are no low probability worlds?

Re: The seven step-Mathematical preliminaries

2009-06-02 Thread James Rose
What is the definition of  a machine?  I have a sense that there is an intuitive one but not an explicit one, appropriate to the discussions here. James - Original Message From: Bruno Marchal marc...@ulb.ac.be To: everything-list@googlegroups.com Sent: Tuesday, June 2, 2009 12:29:47

Re: The seven step-Mathematical preliminaries

2009-06-02 Thread m.a.
Bruno, I appreciate the simplicity of the examples. My answers follow the questions.marty a. - Original Message - From: Bruno Marchal marc...@ulb.ac.be = begin === 1) SET Informal