leibniz math question to allexperts.com

2013-06-28 Thread Roger Clough
Hi allexperts.com - Not sure, maybe I am sending this to the wrong expert. I have been studying Leibniz for about 3 years (retired, at home) and would like to find practical applications to his metaphysics. His metaphysics ends at a top level, with God as the all-seer and all-doer, and below

Re: Math Question

2011-08-08 Thread Bruno Marchal
On 07 Aug 2011, at 21:41, Craig Weinberg wrote: On Aug 1, 2:29 pm, Bruno Marchal marc...@ulb.ac.be wrote: Bruno Stephen, Isn't there a concept of imprecision in absolute physical measurement and drift in cosmological constants? Are atoms and molecules all infinitesimally different in size

Re: Math Question

2011-08-08 Thread Craig Weinberg
On Aug 8, 12:03 pm, Bruno Marchal marc...@ulb.ac.be wrote: On 07 Aug 2011, at 21:41, Craig Weinberg wrote: On Aug 1, 2:29 pm, Bruno Marchal marc...@ulb.ac.be wrote: Bruno Stephen, Isn't there a concept of imprecision in absolute physical measurement and drift in cosmological

Re: Math Question

2011-08-07 Thread Craig Weinberg
On Aug 1, 2:29 pm, Bruno Marchal marc...@ulb.ac.be wrote: Bruno Stephen, Isn't there a concept of imprecision in absolute physical measurement and drift in cosmological constants? Are atoms and molecules all infinitesimally different in size or are they absolutely the same size? Certainly

Re: Math Question

2011-08-01 Thread Stephen P. King
On 7/31/2011 7:40 PM, Pzomby wrote: The following quote is from the book “What is Mathematics Really?” by Reuben Hersh “0 (zero) is particularly nice. It is the class of sets equivalent to the set of all objects unequal to themselves! No object is unequal to itself, so 0 is the class of all

Re: Math Question

2011-08-01 Thread Pzomby
On Aug 1, 5:24 am, Stephen P. King stephe...@charter.net wrote: On 7/31/2011 7:40 PM, Pzomby wrote: The following quote is from the book What is Mathematics Really? by Reuben Hersh 0 (zero) is particularly nice.   It is the class of sets equivalent to the set of all objects unequal

Re: Math Question

2011-08-01 Thread Bruno Marchal
On 01 Aug 2011, at 01:40, Pzomby wrote: The following quote is from the book “What is Mathematics Really?” by Reuben Hersh “0 (zero) is particularly nice. It is the class of sets equivalent to the set of all objects unequal to themselves! No object is unequal to itself, so 0 is the class

Math Question

2011-07-31 Thread Craig Weinberg
Reblogging myself here, but curious to see what you think of the idea that 1 cannot be proven greater than 0. Someone’s comment on the previous chart mentioned the difficulty (impossibility?) of proving that 1 0. It’s an interesting kernel there, and it reminds me of the whole “time does not

Re: Math Question

2011-07-31 Thread Bruno Marchal
On 31 Jul 2011, at 14:15, Craig Weinberg wrote: Reblogging myself here, but curious to see what you think of the idea that 1 cannot be proven greater than 0. In which theory? The notion of proof is theory and definition dependent. (contrary to computability, which is absolute, by Church

Re: Math Question

2011-07-31 Thread Craig Weinberg
On Jul 31, 9:49 am, Bruno Marchal marc...@ulb.ac.be wrote: In which theory? The notion of proof is theory and definition dependent. (contrary to   computability, which is absolute, by Church thesis). If you agree to define x y by Ez(z+x = y)    E = It exists. I   assume classical logic +

Re: Math Question

2011-07-31 Thread Bruno Marchal
On 31 Jul 2011, at 17:08, Craig Weinberg wrote: On Jul 31, 9:49 am, Bruno Marchal marc...@ulb.ac.be wrote: In which theory? The notion of proof is theory and definition dependent. (contrary to computability, which is absolute, by Church thesis). If you agree to define x y by Ez(z+x = y)

Re: Math Question

2011-07-31 Thread Stephen P. King
On 7/31/2011 8:15 AM, Craig Weinberg wrote: Reblogging myself here, but curious to see what you think of the idea that 1 cannot be proven greater than 0. Someone’s comment on the previous chart mentioned the difficulty (impossibility?) of proving that 1 0. It’s an interesting kernel there,

Re: Math Question

2011-07-31 Thread Craig Weinberg
On Jul 31, 11:58 am, Bruno Marchal marc...@ulb.ac.be wrote: How do we know that 0 has a successor though? If 0 x = x and x -0 = x then maybe s(0)=0 or Ezs(0)... Can we disprove the idea that a successor to zero does not exist? No. 0 is primitive term, and the language allows the term

Re: Math Question

2011-07-31 Thread Craig Weinberg
On Jul 31, 1:19 pm, Stephen P. King stephe...@charter.net wrote: Hi Craig,      Umm, what would be the point of coming up with yet another representation system for quantities? We already established that a description is not its referent even though for every referent there is at least one

Re: Math Question

2011-07-31 Thread Pzomby
The following quote is from the book “What is Mathematics Really?” by Reuben Hersh “0 (zero) is particularly nice. It is the class of sets equivalent to the set of all objects unequal to themselves! No object is unequal to itself, so 0 is the class of all empty sets. But all empty sets have