srdanova math

[msbiljanica]

SRDANOVA MATHEMATICS

Revision of the current mathematics

Marjanovic Srdan

M.Biljanica

16201 Manojlovce

Serbia

ms.biljanica@gmail.com

Introduction: I think that the current limited maths and sinful and should be reviewed with all new

things that I discovered. I will explain the mathematical space with two starting points ( along the

natural and real ).

Natural Base:

Natural along is what you see along the fig,1.Natural along has its beginning and its end , this

property natural long we will contact points ( fig.2).Natural length along the ground ( natural

meaning).Two more natural and longer merge points

[s1]-along nature (fig. 1-a), [sn]-mathematical facts

[s2]-point ( natural meaning , Fig.2 -A( B ))

The points will mark capital letters along the (length) small letters

Definition of - teo points A,B , the length between points AB

CM (current mathematics) - does not recognize the concept of nature along , the point is not

defined so that all l everything

__________________________________________________ ___________

Presupposition-Natural long - merge points in the direction AB

Process:

P1-AB..CD..ABC(AC)

to read: natural along AB to point B, is connected to the natural long CD to point C, shall be

renaming of points, we get along ABC (AC)

P2-ABC (AC) .. DE ..ABCD (AD)

read it: along the ABC (AC) to point C, connecting with the natural long-DE to point D is done

renaming of points, we get along ABCD(AD)

P3-ABCD (AD) ..EF .. ABCDE(AE)

...

[s3]-along (from natural long, two or more)

Definition of the initial-and the last point, the length between the initial and final points.

CM-I do not know the connection of natural longer, not along the natural base, but the real (the line , proof)

__________________________________________________ ______________

Presupposition - All points of a longer (the infinite form) can be replaced with labels: (0), (0.1),

...,( 0,1,2,3,4,5,6,7,8,9 ),...

The process:

P1-N(0)= {0,00,000,0000,...}

P2-N(0,1)= {0,1,10,11,100,...}

...

P10-N (0,1,2,3,4,5,6,7,8,9) = {0,1,2,3,4,5,6,7,8,9,10,11, ...}

...

[s4]-numeric along

[s5]-set of natural numbers N

We will use N (0,1,2,3,4,5,6,7,8,9) = {0,1,2,3,4,5,6,7,8,9,10,11,12 ,...}

Definition of-numeric along a starting point, the last point at infinity

-The number 0 is the point 0

-Other numbers are longer, the first item is 0, the last point is the point of the name (number)

CM-I know the term but long term numeric numeric rays (line)

Natural numbers and zeros are given axiom

[Saru]

Welcome to the forums.

Can you summarise this in laymen's terms and elaborate on what it is specifically you'd like to discuss ?

[+and-then]

My head hurts.

[Robbie333]

SRDANOVA MATHEMATICS

Revision of the current mathematics

Marjanovic Srdan

M.Biljanica

16201 Manojlovce

Serbia

ms.biljanica@gmail.com

Introduction: I think that the current limited maths and sinful and should be reviewed with all new

things that I discovered. I will explain the mathematical space with two starting points ( along the

natural and real ).

Natural Base:

Natural along is what you see along the fig,1.Natural along has its beginning and its end , this

property natural long we will contact points ( fig.2).Natural length along the ground ( natural

meaning).Two more natural and longer merge points

[s1]-along nature (fig. 1-a), [sn]-mathematical facts

[s2]-point ( natural meaning , Fig.2 -A( B ))

The points will mark capital letters along the (length) small letters

Definition of - teo points A,B , the length between points AB

CM (current mathematics) - does not recognize the concept of nature along , the point is not

defined so that all l everything

__________________________________________________ ___________

Presupposition-Natural long - merge points in the direction AB

Process:

P1-AB..CD..ABC(AC)

to read: natural along AB to point B, is connected to the natural long CD to point C, shall be

renaming of points, we get along ABC (AC)

P2-ABC (AC) .. DE ..ABCD (AD)

read it: along the ABC (AC) to point C, connecting with the natural long-DE to point D is done

renaming of points, we get along ABCD(AD)

P3-ABCD (AD) ..EF .. ABCDE(AE)

...

[s3]-along (from natural long, two or more)

Definition of the initial-and the last point, the length between the initial and final points.

CM-I do not know the connection of natural longer, not along the natural base, but the real (the line , proof)

__________________________________________________ ______________

Presupposition - All points of a longer (the infinite form) can be replaced with labels: (0), (0.1),

...,( 0,1,2,3,4,5,6,7,8,9 ),...

The process:

P1-N(0)= {0,00,000,0000,...}

P2-N(0,1)= {0,1,10,11,100,...}

...

P10-N (0,1,2,3,4,5,6,7,8,9) = {0,1,2,3,4,5,6,7,8,9,10,11, ...}

...

[s4]-numeric along

[s5]-set of natural numbers N

We will use N (0,1,2,3,4,5,6,7,8,9) = {0,1,2,3,4,5,6,7,8,9,10,11,12 ,...}

Definition of-numeric along a starting point, the last point at infinity

-The number 0 is the point 0

-Other numbers are longer, the first item is 0, the last point is the point of the name (number)

CM-I know the term but long term numeric numeric rays (line)

Natural numbers and zeros are given axiom

You are way beyond me. I struggled in college but I have been staring at this since you put it up and it makes sense--to a point. I will need a few weeks to decipher this, at least where I can get a better grasp, LOL. Good stuff and I see your basic point but I feel like Saru. You need to clean it up for us less fortunate math pupils to clarify your point, LOL. Fun stuff, thank you.

[Cryptozological Mascot]

Geez guys... you don't get this? Childs play...

[Robbie333]

Geez guys... you don't get this? Childs play...

Easy for you to say, LOL. Math is not my strong point. I just don't "get it". I need to dismember it before I see the point. I taint' that bright, LOL.

[KERIK182]

Welcome to the forums.

Can you summarise this in laymen's terms and elaborate on what it is specifically you'd like to discuss ?

UMmmmm... I think the answer is 7.

[sepulchrave]

Easy for you to say, LOL. Math is not my strong point. I just don't "get it". I need to dismember it before I see the point. I taint' that bright, LOL.

I think it is child's play, albeit quite obfuscated and in poor English.

As far as I can tell, Mr. Biljanica is trying to create a logical constructor for the set of integers. (I.e. if we start with 1, how do we get to 2?) This isn't necessarily trivial, but it also isn't that important. Practical mathematics allows for the construction of arbitrary sets, so it doesn't really matter where the set of integers (or whole numbers, or reals, or complex numbers, or hypercomplex tensors, etc.) comes from, as long as you can explain what elements are within that set.

Providing a constructor for a set is mostly just the domain of abstract number theory.

As far as I can tell, the parts of Mr. Biljanica's work described here that aren't completely trivial are unexplained, unsupported, and non-rigorous, all of which are vital.

I would also like to ask to Mr. Biljanica:

1. Can you define the "nature along" (perhaps you meant "natural line"?) in a rigorous way? You say "current mathematics does not recognize the concept of nature along" - but your figure 1 shows a common-place line segment.
   
2. How is your work any different than a trivial attempt at reformulating the 100-years old and much more rigorous Principia Mathematica by Russell and Whitehead?
   
3. Are you trying to formulate an internally consistent and complete logic, and if so how are you going to get around Godel's incompleteness theorem?
   

---------

If anyone reading this forum is interested in this sort of math, please refer to the Metamath proof explorer.

[Englishgent]

I always admire people who can do this sort of mathematics. It's all double dutch to me

As long as i know how much change I should be given when I go shopping, i'm happy lol

edit....one thing that always amuses me though, is the way Amercans call it 'Math' when it's 'Maths' We say 'mathematics (with an s) It's not 'mathematic'

Although maths is a shortened word it still applies to all types of maths, algebra, geometry etc. ...therefore needs to be plural

Edited January 11, 2012 by Englishgent

[Robbie333]

I think it is child's play, albeit quite obfuscated and in poor English.

As far as I can tell, Mr. Biljanica is trying to create a logical constructor for the set of integers. (I.e. if we start with 1, how do we get to 2?) This isn't necessarily trivial, but it also isn't that important. Practical mathematics allows for the construction of arbitrary sets, so it doesn't really matter where the set of integers (or whole numbers, or reals, or complex numbers, or hypercomplex tensors, etc.) comes from, as long as you can explain what elements are within that set.

Providing a constructor for a set is mostly just the domain of abstract number theory.

As far as I can tell, the parts of Mr. Biljanica's work described here that aren't completely trivial are unexplained, unsupported, and non-rigorous, all of which are vital.

I would also like to ask to Mr. Biljanica:

1. Can you define the "nature along" (perhaps you meant "natural line"?) in a rigorous way? You say "current mathematics does not recognize the concept of nature along" - but your figure 1 shows a common-place line segment.
2. How is your work any different than a trivial attempt at reformulating the 100-years old and much more rigorous Principia Mathematica by Russell and Whitehead?
3. Are you trying to formulate an internally consistent and complete logic, and if so how are you going to get around Godel's incompleteness theorem?

---------

If anyone reading this forum is interested in this sort of math, please refer to the Metamath proof explorer.

Thank you for clearing some of this up but either I cannot see his point or there cannot be one. Infinite, maybe. In other words there cannot be a definite because... I am still delving, LOL.

[msbiljanica]

Welcome to the forums.

Can you summarise this in laymen's terms and elaborate on what it is specifically you'd like to discuss ?

mathematics you learned in school are missing some parts that would be complete if you watch some processes in nature can not explain to enjoy their current mathematics,

example Z÷(10^n)=? ,

a={0,1,2,3,4,5,6,7,8,9} , b={1,2,3,4,5,6,7,8,9}

n=1 , Z÷10={...,(-2÷10),(-1÷10),(0÷10),(1÷10),(2÷10),...}={...,-0.2,-0.1,0,1,2,...}={Z,Z.b}

n=2 , Z÷100={Z,Z.b,Z.ab}

n=3 , Z÷1000={Z,Z.b,Zab,Zaab}

n=4 , Z÷10000={Z,Z.b,Z.ab,Zaab,Zaaab}

...

Z÷(10^n)=R , a simple proof showing that the real number was the result of divisions of two integers

______________________________________________________________________________________

Presupposition-point numbers have their

The process:

P1-0 = (.0)

P2-1 = (.0,1)

P3-2 = (.0,1,2)

P4-3 = (.0,1,2,3)

P5-4 = (.0,1,2,3,4)

...

[s6]-point number

CM-I do not know the item number

_________________________________________________________________________

Presupposition-point numbers have opposite

The process:

P1-0 = (s.0)

P2-1 = (s.0, 1)

P3-2 = (s.0, 1.2)

P4-3 = (s.0, 1,2,3)

P5-4 = (s.0, 1,2,3,4)

...

[s7]-opposite point of

CM-I do not know the opposite point of

_______________________________________________________________________________

I will give you the following tasks that you can not solve the current knowledge of mathematics

1.You got along 20m (a), if you find along the (a) between 10m and 15m, get c.

...............

How can you write this in a shorter form:

2+10=12 , 2+15=17 , 2+16=18 , 2+20=22 , 2+23=25

2+25=27 , 2+29=31 , 2+30=32 , 2+35=37 , 2+37=39

2+38=40 , 2+40=42 , 2+44=46 , 2+45=47 , 2+47=49

2+50=52 , 2+51=53 , 2+55=57 , 2+56=58 , 2+58=60

2+60=62 , 2+64=66 , 2+65=67 , 2+70=72 , 2+71=73

2+74=76 , 2+75=77 , 2+80=82 , 2+82=84 , 2+83=85

2+92=94 , 2+101=103

Serbian translation of google-english

[sepulchrave]

mathematics you learned in school are missing some parts that would be complete if you watch some processes in nature can not explain to enjoy their current mathematics,

example Z÷(10^n)=? ,

a={0,1,2,3,4,5,6,7,8,9} , b={1,2,3,4,5,6,7,8,9}

n=1 , Z÷10={...,(-2÷10),(-1÷10),(0÷10),(1÷10),(2÷10),...}={...,-0.2,-0.1,0,1,2,...}={Z,Z.b}

n=2 , Z÷100={Z,Z.b,Z.ab}

n=3 , Z÷1000={Z,Z.b,Zab,Zaab}

n=4 , Z÷10000={Z,Z.b,Z.ab,Zaab,Zaaab}

...

Z÷(10^n)=R , a simple proof showing that the real number was the result of divisions of two integers

No. Constructing an arbitrary real number out of an infinite series of integers does not count as "constructing reals out of integers".

This has been thought of before.

Obviously an arbitrary real number can be expressed in decimal (or any other) notation. However an arbitrary real number cannot be expressed in decimal (or any other) notation without complete knowledge of the generation of that real.

For example, what are the digits of pi? You can calculate them based on calculus and the definition of pi, but otherwise you can't figure them out.

If you want to express pi as a series of integers, you need infinite information.

...............

How can you write this in a shorter form:

2+10=12 , 2+15=17 , 2+16=18 , 2+20=22 , 2+23=25

2+25=27 , 2+29=31 , 2+30=32 , 2+35=37 , 2+37=39

2+38=40 , 2+40=42 , 2+44=46 , 2+45=47 , 2+47=49

2+50=52 , 2+51=53 , 2+55=57 , 2+56=58 , 2+58=60

2+60=62 , 2+64=66 , 2+65=67 , 2+70=72 , 2+71=73

2+74=76 , 2+75=77 , 2+80=82 , 2+82=84 , 2+83=85

2+92=94 , 2+101=103

Serbian translation of google-english

I'd like to see it.

[badeskov]

No. Constructing an arbitrary real number out of an infinite series of integers does not count as "constructing reals out of integers".

This has been thought of before.

Obviously an arbitrary real number can be expressed in decimal (or any other) notation. However an arbitrary real number cannot be expressed in decimal (or any other) notation without complete knowledge of the generation of that real.

For example, what are the digits of pi? You can calculate them based on calculus and the definition of pi, but otherwise you can't figure them out.

If you want to express pi as a series of integers, you need infinite information.

<snip>

Indeed sepulchrave.

I didn't really want to get into this (have been involved in numerous "inventive" math threads in my time at UM), but I just wanted to give you the credit you deserve. Thanks for the insightful post. And you are indeed correct, PI has a very specific definition and you need exact knowledge of that before you can put the numbers of PI down. Anybody can come up with "new math", but until the time it proves itself useful it is just imaginary.

Cheers,

Badeskov

[msbiljanica]

sepulchrave -I'd like to see it.-when the time comes

google translation-Serbian English

original Serbian - http://www.fileserve.com/file/8ecT3pr/Srđanova matematika 1-65.pdf

Presupposition-numbers are comparable with each other

The process:

P1-two numbers (a, b ) are comparable with each other - a> b, a = b, a <b, ).(=(>,=,<)

P2-three numbers (a, b, c) are comparable with each other

P3-four numbers (a, b, c, d) are comparable with each other

...

[s8]-comparability issues

CM knows the comparability of two numbers, the comparability of three numbers (a number comparable with the numbers b and c)

comparability of the other knows.

__________________________________________________ _________

Presupposition-number ranges number along

The process:

P1-image

P2-image

P3-image

...

[s9]-mobility of number

CM does not know the number of mobility

[msbiljanica]

Presupposition-number and mobile number of a contact

The process:

P1-3 + (.0) 2 = 3

P2-3 + (.1) 2 = 3

P3-3 + (.2) 2 = 4

P4-3 +2 = 5, same as the current sum

[s10]-addition of

CM knows only one type of addition is given as an axiom

____________________________________________________________

Presupposition-No I do not have a mobile contact number, except to point

The process:

P1-¤3(0)2¤

P2-¤3(1)2¤

P3-¤3(2)2¤

...

Next-gap number and mobile number have no contact, except to point

...

[s11]-gap numbers Gn = {¤a(b)c¤,...,¤ (b )...( d) e ¤}

[s12]-gap along the

_______________________________________________________________________

I will give you the following tasks that you can not solve the current knowledge of mathematics

1.You got along 20m (a), if you find along the (a) between 10m and 15m, get c.-

here is part of the solution to which the current mathematics does not know (how to describe the condition numbers c (image, # 11)

c=¤10m(5m)5m¤ - gap number

[msbiljanica]

Presupposition-gap number is comparable with the gap number and

The process:

P1-¤a(b)c¤ , a+c=z

P2-¤a(b)c(d)e¤ , a+c+e=z

P3-¤a(b)c(d)e(f)g¤ , a+c+e+g=z

...

Bringing the number of gaps in the number of z, as it compares the number of

[s13]-comparability gap of

CM-comparability gap does not know the number of

___________________________________________________________________________

Presupposition-two or more of the same numbers can be written in abbreviated form

The process:

P1-{a, a} = a_f2

P2-{a, a, a} = a_f3

P3-{a, a, a, a} = a_f4

...

[s14]-the same number of frequency

CM does not know the frequency of the same number

_____________________________________________________________________-

Presupposition-this can be written in abbreviated form

-growing (a, a + b, a + b + b,..., a + b + b +...+ b )

-descending (a + b + b +...+ b, a + b + b, a + b, a)

P1-a_bc, c = a + b, c = a + b +b, ..., c=a + b + b +...+ b-final

P2-a_b - infinity

[s15]-srcko

CM-does not know srcko

________________________________________________________________-

How can you write this in a shorter form:

2+10=12 , 2+15=17 , 2+16=18 , 2+20=22 , 2+23=25

2+25=27 , 2+29=31 , 2+30=32 , 2+35=37 , 2+37=39

2+38=40 , 2+40=42 , 2+44=46 , 2+45=47 , 2+47=49

2+50=52 , 2+51=53 , 2+55=57 , 2+56=58 , 2+58=60

2+60=62 , 2+64=66 , 2+65=67 , 2+70=72 , 2+71=73

2+74=76 , 2+75=77 , 2+80=82 , 2+82=84 , 2+83=85

2+92=94 , 2+101=103

srcko-

5₅50={5,10,15,20,25,30,35,40,45,50}

38₃50={38,41,44,47,50}

50₁₀90={50,60,70,80,90}

50₇92={50,57,64,71,78,85,92

sepulchrave-the first part

[bmk1245]

So, what will be natural number between 42 and 43?

Seriously, you are flooding internet with your math. Why not publish it in some math journal, huh?

[sepulchrave]

________________________________________________________________-

How can you write this in a shorter form:

2+10=12 , 2+15=17 , 2+16=18 , 2+20=22 , 2+23=25

2+25=27 , 2+29=31 , 2+30=32 , 2+35=37 , 2+37=39

2+38=40 , 2+40=42 , 2+44=46 , 2+45=47 , 2+47=49

2+50=52 , 2+51=53 , 2+55=57 , 2+56=58 , 2+58=60

2+60=62 , 2+64=66 , 2+65=67 , 2+70=72 , 2+71=73

2+74=76 , 2+75=77 , 2+80=82 , 2+82=84 , 2+83=85

2+92=94 , 2+101=103

srcko-

5₅50={5,10,15,20,25,30,35,40,45,50}

38₃50={38,41,44,47,50}

50₁₀90={50,60,70,80,90}

50₇92={50,57,64,71,78,85,92

sepulchrave-the first part

How does that help? Your original sequence does not contain any patterns that I can see.

[msbiljanica]

How does that help? Your original sequence does not contain any patterns that I can see.

I made a mistake-

2+5=7 , 2+10=12 , 2+15=17, 2+20=22 , 2+25=27 , 2+30=32 , 2+35=37 , 2+38=40,

2+40=42, 2+41=43 , 2+44=46 , 2+45=47, 2+47=49 , 2+50=52 ,2+57=59 , 2+60=62 ,

2+64=66, 2+70=72, 2+71=73 , 2+78=80 , 2+80=82 , 2+85=87 , 2+90=92 ,2+92=94

srcko

5₅50={5,10,15,20,25,30,35,40,45,50}

38₃50={38,41,44,47,50}

50₁₀90={50,60,70,80,90}

50₇92={50,57,64,71,78,85,92}

_______________________________________________________________________--

2+10=12 , 2+15=17 , 2+16=18 , 2+20=22 , 2+23=25

2+25=27 , 2+29=31 , 2+30=32 , 2+35=37 , 2+37=39

2+38=40 , 2+40=42 , 2+44=46 , 2+45=47 , 2+47=49

2+50=52 , 2+51=53 , 2+55=57 , 2+56=58 , 2+58=60

2+60=62 , 2+64=66 , 2+65=67 , 2+70=72 , 2+71=73

2+74=76 , 2+75=77 , 2+80=82 , 2+82=84 , 2+83=85

2+92=94 , 2+101=103 -non-red range

srcko

10₅80={10,15,20,25,30,35,40,45,50,55,60,65,70,75,80}

16₇65={16,23,30,37,44,51,58,65}

29₉101={29,38,47,56,65,74,83,92,101}

[sepulchrave]

Ok, then your notation X_nY is the same as writing Σ_i=0^m X + ni where m = (Y-X)/n in "conventional math".

Your notation is shorter, but I don't see why any of your work is different than "conventional math".

[msbiljanica]

Ok, then your notation X_nY is the same as writing Σ_i=0^m X + ni where m = (Y-X)/n in "conventional math".

Your notation is shorter, but I don't see why any of your work is different than "conventional math".

n={1,2,3,4,...} , my a_bc (a_b) ,b-may be that positive real number ,will "conventional math" write ,

finite function for x=0.2_0.57.2 and x=7.2_3.535.2 - a+x

[sepulchrave]

n={1,2,3,4,...} , my a_bc (a_b) ,b-may be that positive real number ,will "conventional math" write ,

finite function for x=0.2_0.57.2 and x=7.2_3.535.2 - a+x

Sure...

0.2_0.57.2 = Σ_i=0¹⁴ 0.2 + 0.5i

7.2_3.535.2 = Σ_i=0⁸ 7.2 + 3.5i

All you are doing is manipulating arithmetic series... this isn't very interesting or new.

[msbiljanica]

Sure...

0.2_0.57.2 = Σ_i=0¹⁴ 0.2 + 0.5i

7.2_3.535.2 = Σ_i=0⁸ 7.2 + 3.5i

All you are doing is manipulating arithmetic series... this isn't very interesting or new.

I did not think the sums(final orders)(Σ) ,finite function a+x|0.2_0.5(_7.2_)_3.535.2|=y

[sepulchrave]

I did not think the sums(final orders)(Σ) ,finite function a+x|0.2_0.5(_7.2_)_3.535.2|=y

Sorry, not quite sure I follow. Are you looking for sets then?

0.2_0.5(_7.2_)_3.535.2 = {0.2 + 0.5x | x ∈ ℤ, 0 ≤ x < 14} ⊕ {7.2 + 3.5x | x ∈ ℤ, 0 ≤ x < 9}

My general point still remains; all you are doing are arithmetic manipulations on discrete (or countably infinite) sets of integers.

Russell and Whitehead already went through all this in detail. (As did many of their predecessors, but their work is probably the most complete... until Godel scuttled the entire effort.)

You can introduce a new set of symbols if you want, but you aren't introducing any new meaning.

[msbiljanica]

PDF- http://www.mediafire.com/?mm3e9fb73g494sp

____________________________________________________

Presupposition-Srcko can join a number not that can not be in the structure srcko

Process:

P₁ 10₁₀70 and 5 , 5_10₁₀70

P₂ 5₅20 and 22 ,5₅20_22

P₃ 7₅ and 25 , 7₅_25

P₄ 6₈ and 2 ,2_6₈

...

General form -a_bc_d , d_a_bc , a_b_d ,d_a_b...

[s₁₅]-pendant srcko

CM-[s₁₅]-does no know

Note-only one number can be pendand , number two goes into a complex srcko

__________________________________________________________

Presupposition-Two ( more ) srcko (pendand srcko) are combined into one unit

Process:

P₁ 10₆ and 11₈ , 10₆11₈

P₂ 10₅65 and 70₃ ,10₅65_70₃

P₃ 30₃60 and 45₂77_78 ,30₃60_45₂77_78

...

General form -a_bc_d , a_bc_d_e ,a_bc_d_ef_g ,...

[s₁₆]-two ( more) srcko

CM-[s₁₆]-does no know