|
|
Re: Outline: A Program to establish the continuity of points in a line
Posted:
Feb 2, 2013 5:27 PM
|
|
On Feb 2, 11:10 pm, JT <jonas.thornv...@gmail.com> wrote:
> On 2 Feb, 14:06, JT <jonas.thornv...@gmail.com> wrote:
>
>
>
>
>
>
>
>
>
> > On 2 Feb, 08:38, Graham Cooper <grahamcoop...@gmail.com> wrote:
>
> > > On Feb 2, 2:21 pm, "Ross A. Finlayson" <ross.finlay...@gmail.com>
> > > wrote:
>
> > > > Decided to start a program. An outline of my program follows.
>
> > > > Regards,
>
> > > > Ross Finlayson
>
> > > > A Program to establish the continuity of points in a line
>
> > > > The continuum of numbers is a primary feature of mathematics. Logic
> > > > establishes structures modeling the numbers as abstract things. Most
> > > > simple concepts of symmetry and conservation establish numerical
> > > > constructs and identities. Points in a line are built from first and
> > > > philosophic principles of a logic, and a geometry of points and
> > > > space. Their continuity is established. Fundamental results of real
> > > > analysis are established on this line as of the continuum of real
> > > > numbers. Identities are established for certain fundamental
> > > > properties of real numbers in a line in the geometry.
>
> > > > An axiomless system of natural deduction
> > > > Conservation and symmetry in primary objects
> > > > Categoricity of a general theory
> > > > Geometry
> > > > Number theory, analysis, and probability
> > > > Sets, partitions, types, and categories
> > > > A natural continuum from first principles
> > > > The continuum in abstract
> > > > A continuum of integers
> > > > The establishment of a space of points from a continuum
> > > > Drawing of a line in the space of points
> > > > The polydimensional in space
> > > > Features of N
> > > > The infinite in the natural continuum
> > > > EF as CDF, the natural integers uniformly
> > > > Features of R
> > > > Points as polydimensional
> > > > Results in the polydimensional
> > > > Continuity in the real numbers
> > > > Reductio of points in space
> > > > Topological counterparts of the open and closed
> > > > Fundamental results of real analysis
> > > > The complete ordered field in the space of points
> > > > Fundamental theorems of integral calculus
> > > > Apologetics
> > > > Infinitesimals and infinities
> > > > Rational numbers and exhaustion
> > > > The continuum as countable
> > > > Reflection on the drawing of the line as countable
> > > > Cantor's argument and counterexamples
> > > > A constructive interpretation of uncountable
> > > > A retrofit of measure theory
> > > > Applications
> > > > Applications in geometry
> > > > Applications in probability
> > > > Applications in physics
>
> > > fun random-walk()
> > > r = rnd(4)
> > > if (r=1)
> > > x=x+1/10^y
> > > if (r=2)
> > > x=x-1/10^y
> > > if (r=3)
> > > y=y+1
> > > if (r=4)&(y>1)
> > > y=y-1
> > > plot(x,y)
>
> > > fun infinite-walk()
> > > x=0
> > > y=1
> > > repeat
> > > random-walk()
> > > until false
>
> > > Run this for an infinite amount of time and he walks over every point
> > > on the number line!
>
> > > PROOF: no gaps!
>
> > > It's an infinite random walk with a twist.
> > > When he moves east or west, he covers 1 unit / 10^y units.
>
> > > 0---------1---------2---------3--->
>
> > > :) ------> :) ------> :)
>
> > > Here he is moving 1 unit positive at a time.
>
> > > When y increases - he takes 10 times smaller steps!
>
> > > 0---------1---------2---------3--->
>
> > > *----------*---------*-*
>
> > > y will reach every natural number
> > > and x will be every summation of every possible negative power of 10
> > > fraction!
>
> > > Herc
> > > --www.BLoCKPROLOG.com
>
> > Why be a copy cat when you can be originalhttp://www.youtube.com/watch?v=Dqm4dQv4F9w
>
> This is the way do be original
> http://www.youtube.com/watch?v=AaEmCFiNqP0
GeeZ I fix the Broken Google Bot
and this is the thanks I get!
http://BLoCKPROLOG.com
Herc
|
|
