• I will present you a math composed of only two basis (natural and realistic basis)

    Current mathematics (CM.)

    Natural Base
    -natural straight line the main axiom, its beginning or end point and natural straight line a defined length and with two points
    NOTATION - natural straight line (lower case), points (capital letters or numbers (when specified point uploads metric (such as the number line)))

    -natural gaps negation natural straight line , natural emptiness and emptiness is defined with two points
    NOTATION - natural gaps (small underlined letter)

    -basic rule merger - natural straight line and natural gaps are connected only points
    -basic set - all possibilities defined theorem
    (CM.)does not know the natural straight line , point is not defined, knows no natural gap, is not defined by basic set

  • Theorem - Natural straight line (natural gap) are connected in the direction of the points AB (0.1)
    PROOF - straight line (gaps) b ([tex]\underline{b}[/tex]) -defined AC (0,2)

    - straight line (gaps) c ([tex]\underline{c}[/tex]) -defined AD (0,3)

    ...
    infinite one way straight line (oneway infinite gaps) ∞ ([tex]\underline{\infty}[/tex]) defined A∞ (0, ∞)

    (CM.) - straight line (not from the natural basis), there is gaps, a one-way infinite straight line the (semi-line (not from natural base)), one-way infinite gaps does not exist

  • Theorem - there is a relationship between the points 0 and all points one-way infinite straight line(one-way infinite gaps) including points 0

    PROOF - relationship points 0 points 0 and the number 0

    -relationship points 0 points 1 and the number 1( [tex]\underline{1}[/tex])

    -relationship points 0 points 2 and the number 2 ([tex]\underline{2}[/tex])

    ...

    basic set of natural numbers [tex]N^o=\{0 , 1 , 2 ,3 ,4 ,5 ,...\}[/tex]
    basic set of natural numbers gaps [tex]N_p^o=\{0 , \underline{1} ,\underline{2} ,\underline{3} ,\underline{4} ,\underline{5} ,...\}[/tex]

    (CM.) - natural numbers are given as an axiom, there is no natural gaps numbers (there is this form, but do not call numbers [tex](\{0,0\}\cup\{a,a\} a\in N)[/tex]

  • Theorem - natural numbers and natural numbers gaps can be connected in the direction AB (0.1)

    PROOF - Number 1 and number [tex]\underline {1} [/tex]receives the combined number of [tex]1\underline {1}[/tex] or dup (duž , praznina )

    -Number [tex]\underline {1}[/tex] and number 1 receives the combined number of [tex]\underline {1}1[/tex] or dup 

    -Number 1 and number [tex]\underline {2}[/tex] receives the combined number of [tex]1\underline {2}[/tex] or dup

    [size=24pt]...[/size]
    - A basic set of combined natural numbers [tex]K^o=(a_n,\underline{b}_n,a_n\in{N^o},\underline{b}_n\in{N_p^o},(a_n,\underline{b}_n)>0)[/tex]

    [tex]a_1\underline{b}_1[/tex]
    [tex]\underline{b}_1a_1[/tex]
    [tex]a_1\underline{b}_1a_2[/tex]
    [tex]\underline{b}_1a_1\underline{b}_2[/tex]
    ...

    (CM.) - Dup do not know, not know the combined numbers (there is this form, but not numbers [tex]\{0,a\}\cup\{c,c\},\{0,0\}\cup\{a,b\},\{0,b\}\cup\{c,d\},\{0,0\}\cup\{a,b\}\cup\{c,c\},...[/tex] )

  • Theorem - Two numbers have contact, their condition is described counts of first number

    PROOF - number 3 and number 2 have a contact at point 0
    [tex]3^{\underline{0}} 2[/tex]

    - number 3 and number 2 have a contact at point 1
    [tex]3^{\underline{1}}2[/tex]

    - number 3 and number 2 have a contact at point 2
    [tex]3^{\underline{2}}2[/tex]

    - number 3 and number 2 have a contact at point 3
    [tex]3^{\underline{3}}2[/tex]

    (CM.) - Knows no contact numbers

  • Theorem - The contact numbers is sorted horizontally to be the only one natural straight line that gives a natural straight line

    PROOF - [tex]1\rightarrow 1[/tex]

    4[tex]{+_1^{\underline0}[/tex]2=2

    4[tex]+_1^{\underline1}[/tex]2=(1,1)

    4[tex]{+_1^{\underline2}[/tex]2=2

    4[tex]{+_1^{\underline3}}[/tex]2=(3,1)

    4[tex]{+_1^{\underline4}}[/tex]2=6 or 4+2=6

    +1 - addition rule 1

    (CM.) - There are no "addition rule 1" only when the contact point number, the axiom

  • Theorem - The contact numbers is sorted horizontally to be the only one natural straight line that gives a natural straight line , when there are two (more) results between them becomes a gap.

    PROOF -[tex]1\rightarrow1(\underline{1})[/tex]

    [tex]4{+_2^{\underline0}}2=2[/tex]
    [tex]4{+_2^{\underline1}}2=1\underline{2}1[/tex]
    [tex]4{+_2^{\underline2}}2=2[/tex]
    [tex]4{+_2^{\underline3}}2=3\underline{1}1[/tex]
    [tex]4{+_2^{\underline4}}2=6[/tex]

    +2 - addition rule 2

    (CM.) - No "addition rule 2"

  • Theorem - The contact number is sorted horizontally only be a natural straight line that gives a natural straight line , when there are two (more) results merge

    Proof - [tex]1\rightarrow 1 (\underline{s})[/tex]

    [tex]4{+_3^{\underline0}}2=2[/tex]


    [tex]4{+_3^{\underline1}}2=2[/tex]


    [tex]4{+_3^{\underline2}}2=2[/tex]


    [tex]4{+_3^{\underline3}}2=4[/tex]


    [tex]4{+_3^{\underline4}}2=6[/tex]


    [tex]+_3 [/tex]- addition rule 3


    (SM.) - no "addition rule 3 "

  • Theorem - contact number is sorted horizontally, two natural straight line provide a natural straight line

    Proof - [tex]11\rightarrow1[/tex]
    [attachment=19640]

    [tex]2\underline{2 }2+_4^{\underline0}2\underline{2 }2=(2,2)[/tex]

    [tex]2\underline{2 }2+_4^{\underline1}2\underline{2 }2=(1,1)[/tex]

    [tex]2\underline{2 }2+_4^{\underline2}2\underline{2 }2=0[/tex]

    [tex]2\underline{2 }2+_4^{\underline3}2\underline{2 }2=1[/tex]

    [tex]2\underline{2 }2+_4^{\underline4}2\underline{2 }2=2[/tex]

    [tex]2\underline{2 }2+_4^{\underline5}2\underline{2 }2=1[/tex]

    [tex]2\underline{2 }2+_4^{\underline6}2\underline{2 }2=0[/tex]

    [tex]+_4[/tex] - addition rule 4


    (CM.) - No "addition rule 4"

  • [tex]+_8[/tex]
    Theorem - The contact number is sorted vertically:
    - Only one natural straight line gives a natural straight line
    - Two natural straight line that gives a natural straight line
    - When there are two (more) solution between them becomes gaps
    PROOF - [tex](1,11)\rightarrow1(\underline1)[/tex]

    [tex]2\underline{2 }2+_8^02\underline{2 }2=2\underline22 [/tex] or [tex]2\underline{2 }2+_8^{\underline6}2\underline{2 }2=2\underline22[/tex]

    [tex]2\underline{2 }2+_8^12\underline{2 }2=3\underline13[/tex] or [tex]2\underline{2 }2+_8^{\underline5}2\underline{2 }2=3\underline13[/tex]

    [tex]2\underline{2 }2+_8^22\underline{2 }2=8[/tex] or [tex]2\underline{2 }2+_8^{\underline4}2\underline{2 }2=8[/tex]

    [tex]2\underline{2 }2+_8^32\underline{2 }2=2\underline13\underline12[/tex] or [tex]2\underline{2 }2+_8^{\underline3}2\underline{2 }2=2\underline13\underline12[/tex]

    [tex]2\underline{2 }2+_8^42\underline{2 }2=2\underline22\underline22[/tex] or [tex]2\underline{2 }2+_8^{\underline2}2\underline{2 }2=2\underline22\underline22[/tex]

    [tex]2\underline{2 }2+_8^52\underline{2 }2=2\underline23\underline22[/tex] or [tex]2\underline{2 }2+_8^{\underline1}2\underline{2 }2=2\underline23\underline22[/tex]

    [tex]2\underline{2 }2+_8^62\underline{2 }2=2\underline24\underline22[/tex] or [tex]2\underline{2 }2+_8^{\underline0}2\underline{2 }2=2\underline24\underline22[/tex]

    [tex]+_8 [/tex]- addition rule 8


    (CM.) - no addition rule 8

  • [tex]+_9[/tex]
    Theorem - The contact number is sorted vertically:
    - Only one natural straight line gives a natural straight line
    - Two natural straight line that gives a natural straight line
    - when there are two (more) solutions between them, are connected
    PROOF - [tex](1,11)\rightarrow1(\underline{s})[/tex]
    [Blockierte Grafik: http://217.26.67.168/uploads/3/5/3576551/y4.png]
    [tex]2\underline{2 }2+_9^02\underline{2 }2=4[/tex] or [tex]2\underline{2 }2+_9^{\underline6}2\underline{2 }2=4[/tex]

    [tex]2\underline{2 }2+_9^12\underline{2 }2=6[/tex] or [tex]2\underline{2 }2+_9^{\underline5}2\underline{2 }2=6[/tex]

    [tex]2\underline{2 }2+_9^22\underline{2 }2=8[/tex] or [tex]2\underline{2 }2+_9^{\underline4}2\underline{2 }2=8[/tex]

    [tex]2\underline{2 }2+_9^32\underline{2 }2=7[/tex] or [tex]2\underline{2 }2+_9^{\underline3}2\underline{2 }2=7[/tex]

    [tex]2\underline{2 }2+_9^42\underline{2 }2=6[/tex] or [tex]2\underline{2 }2+_9^{\underline2}2\underline{2 }2=6[/tex]

    [tex]2\underline{2 }2+_9^52\underline{2 }2=7 [/tex] or[tex]2\underline{2 }2+_9^{\underline1}2\underline{2 }2=7[/tex]

    [tex]2\underline{2 }2+_9^62\underline{2 }2=8[/tex] or [tex]2\underline{2 }2+_9^{\underline0}2\underline{2 }2=8[/tex]

    [tex]+_9[/tex] - addition rule 9


    (CM.) - no addition rule 9

    https://onedrive.live.com/redir?resid=70…hint=file%2cpdf

    Einmal editiert, zuletzt von ms.srki (25. Mai 2015 um 11:28)

  • Theorem - The contact number is sorted vertically only one natural straight line gives a natural gaps

    PROOF [tex] 1\rightarrow \underline1[/tex]

    [tex]4{+_1^{0}}2=\underline2[/tex] or [tex] 4{+_1^{\underline4}}2=\underline2[/tex]

    [tex]4{+_1^{1}}2=('\underline1,\underline1)[/tex] or [tex]4{+_1^{\underline3}}2=('\underline1,\underline1)[/tex]

    [tex]4{+_1^{2}}2=\underline2[/tex] or [tex]4{+_1^{\underline2}}2=\underline2[/tex]

    [tex]4{+_1^{3}}2=('\underline3,\underline1)[/tex] ior [tex]4{+_1^{\underline1}}2=('\underline3,\underline1)[/tex]

    [tex]4{+_1^{4}}2=\underline6[/tex] or [tex]4{+_1^{\underline0}}2=\underline6[/tex]

    [tex]+_{10} [/tex]- addition rule10

    (CM.) - no addition rule 10

  • ERROR - in the above posts should be like this
    [tex]4{+_{10}^{0}}2=\underline2[/tex] or [tex]4{+_{10}^{\underline4}}2=\underline2[/tex]

    [tex]4{+_{10}^{1}}2=('\underline1,\underline1)[/tex] or [tex]4{+_{10}^{\underline3}}2=('\underline1,\underline1)[/tex]

    [tex]4{+_{10}^{2}}2=\underline2[/tex] or [tex]4{+_{10}^{\underline2}}2=\underline2[/tex]

    [tex]4{+_{10}^{3}}2=('\underline3,\underline1)[/tex] or [tex][4{+_{10}^{\underline1}}2=('\underline3,\underline1)[/tex]

    [tex]4{+_{10}^{4}}2=\underline6[/tex] or [tex]4{+_{10}^{\underline0}}2=\underline6[/tex]

    Theorem - The contact number is sorted vertically only be a natural straight line that gives a natural gap
    -When has two (more) solution between them becomes straights lines

    PROOF - [tex]1\rightarrow \underline1(1)[/tex]

    [tex]4{+_{11}^{0}}2=\underline2[/tex] or [tex]4{+_{11}^{\underline4}}2=\underline2[/tex]

    [tex]4{+_{11}^{1}}2=('\underline12\underline1)[/tex] or [tex]4{+_{11}^{\underline3}}2=('\underline12\underline1)[/tex]

    [tex]4{+_{11}^{2}}2=\underline2[/tex] or [tex]4{+_{11}^{\underline2}}2=\underline2[/tex]

    [tex]4{+_{11}^{3}}2=('\underline31\underline1)[/tex] or [tex]4{+_{11}^{\underline1}}2=('\underline31\underline1)[/tex]

    [tex]4{+_{11}^{4}}2=\underline6[/tex] or [tex]4{+_{11}^{\underline0}}2=\underline6[/tex]

    [tex]+_{11} [/tex]- addition rule 11

    (CM.) - no addition rule 11

  • Theorem - The contact number is sorted vertically only be a natural straight line that gives a natural gap
    -When has two (more) solutions they are connected
    Proof -[tex]1\rightarrow \underline1(\underline{s})[/tex]

    [tex]4{+_{12}^{0}}2=\underline2[/tex] or [tex]4{+_{12}^{\underline4}}2= \underline2[/tex]

    [tex]4{+_{12}^{1}}2=\underline2[/tex] or [tex]4{+_{12}^{\underline3}}2= \underline2[/tex]

    [tex]4{+_{12}^{2}}2=\underline2[/tex] or [tex]4{+_{12}^{\underline2}}2= \underline2[/tex]

    [tex]4{+_{12}^{3}}2=\underline4[/tex] or [tex]4{+_{12}^{\underline1}}2= \underline4[/tex]

    [tex]4{+_{12}^{4}}2=\underline6[/tex] or [tex]4{+_{12}^{\underline0}}2= \underline6[/tex]

    [tex]+_{12}[/tex]- addition rule 12
    (CM.) - no addition rule 12

  • Gibt es in diesem Forum irgend jemanden, der von diesem Beitrag profitiert? Was soll der Sinn dessen sein? Kann mich da mal bitte jemand aufklären?

  • Gibt es in diesem Forum irgend jemanden, der von diesem Beitrag profitiert? Was soll der Sinn dessen sein? Kann mich da mal bitte jemand aufklären?


    if there is a mathematical procedure to solve the numbers (4, 2) and the interval [TEX]\{0,2\}\cup\{4,6\}[/TEX] for a solution which I PASSED (all 12 forms of addition) then show and prove that what I have he presented is not new in mathematics