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Thread: Catch-22

  1. #31
    Senior Member wildcat's Avatar
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    Quote Originally Posted by lastrailway View Post
    What if, instead of dividing, you multiply?

    Ie:

    22/2 = 11
    22*11 = 242
    T(242) = 242
    T(X) = X
    T = X

    (which of course happens with all multiples of 11).

    242-11 = 231
    231/11=21
    Since we first used 2 and 11:
    (T(231)/2)/11 = 6
    Or ((T(231))*2)+11=23

    So it can be anything from Catch-21 to Catch-23.
    Thank you, lastrailway!

    I say very interesting. A good point. I shall be back.

  2. #32
    Senior Member wildcat's Avatar
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    Essential numbers, lastrailway! A good concept.

    100 - 23 = 77
    11 - (1 X 1) = 0 + 10

    00 10 18 24 28 30 30 28 24 18 10 00
    10 08 06 04 02 00 -2 etc

    (30 - 2) + X
    = (100 - 23)

  3. #33
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    With X being ((100-23)/11)^2?

    You could go with prime numbers.
    22-1=21
    22-2=20
    22-3=19
    22-5=17
    22-7=15
    22-11=11
    22-13=9
    22-17=5
    22-19=3

    21,20,19,17,15,11,9,5,3
    SUM = 120

    (120-22)/7=14

    14, 24, 32, 38, 42, 44, 44, 42, 38, 32, 24, 14

    44-14=30

    (30-2)+X= (100-23)

  4. #34
    Senior Member wildcat's Avatar
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    Quote Originally Posted by lastrailway View Post
    With X being ((100-23)/11)^2?

    You could go with prime numbers.
    22-1=21
    22-2=20
    22-3=19
    22-5=17
    22-7=15
    22-11=11
    22-13=9
    22-17=5
    22-19=3

    21,20,19,17,15,11,9,5,3
    SUM = 120

    (120-22)/7=14

    14, 24, 32, 38, 42, 44, 44, 42, 38, 32, 24, 14

    44-14=30

    (30-2)+X= (100-23)
    Yes. A perfect match.
    Beautiful work, lastrailway, as always.
    X is in the locker.

  5. #35
    Senior Member wildcat's Avatar
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    Victor labelled a thread: Typology without MBTI.
    A valid proposition? Let us look into the matter.

    The medial number of the function order = 9/2 = 4,5
    but we are advised to remove the mark:

    T(9)/2 = 45

    Eysenck was a statistician. Statistics is a one-set.
    Extravert - Introvert. Two types.
    He never removed beyond the one-set. Not even when he added another set:
    Stable - Unstable.
    He was not wrong. Only circumscribed. And thereby useful.
    However:

    Extravert-Introvert: A one-set. Two types.
    Add Stable-Unstable: A two-set. Four types.
    Add Emotive-Non-Emotive: A three-set. Eight types.
    MBTI: A four-set. 16 types.

    T(9) = 90
    T(9)/2 = T(38) - 38 = 45

    T(9 X 9) = T(24) - 24 = 64 - T(64)

  6. #36
    Senior Member wildcat's Avatar
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    I try to illustrate.

    Say we have loci 1 X 1
    Number in loci = 0(1 X 1)

    We have number of loci 2 X 2
    Number in loci = 1(2 X 2)

    Number of loci = 3 X 3
    Number in loci = 2(3 x 3)

    Number of loci = 4 X 4
    Number in loci: 3(4 X 4)

    Number of loci = 5 X 5 (this one we had).
    Number in loci = 4(5 x 5)

    Number of loci = 6 X 6
    Number in loci = 5(6 X 6)

    Number of loci = 7 X 7
    Number in loci = 6(7 X 7)
    = T(492)

  7. #37
    Senior Member wildcat's Avatar
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    Let us recede to zero. In loci.

    0(1 X 1) = 0

    1(2 X 2) in loci:

    00
    11

    +

    01
    01

    2(3 X 3) in loci:

    010
    121
    232

    +

    002
    002
    002

    3(4 X 4) in loci = (+ inclusion of T(1):

    0110
    1221
    2332
    3443

    +

    0013
    0013
    0013
    0013

  8. #38
    Senior Member wildcat's Avatar
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    4(5 X 5) = T(1) + T(2) + T(3) + T(4)

    1 = 9 - 8
    2 = 9 - 7
    3 = 9 - 6
    4 = 9 - 5 U turn:

    1234
    8765 U turn:

    1234
    2345

    T(1) = (1 X 8) + (2 X 1)

    T(2) = (2 x 7) + (3 X 2)

    T(3) = (3 X 6) + (4 X 3)

    T(4) = (4 X 5) + (5 X 4)


    Dichotomy in loci:

    01210
    12321
    23432
    34543
    45654

    +

    00024
    00024
    00024
    00024
    00024

  9. #39
    Senior Member wildcat's Avatar
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    l = number of loci
    n = number in loci

    0123456789 .. ten loci. 0-9 to 1-10

    0(1 X 1) = n
    1 X 1 = l

    Zero is.
    Otherwise we'd have no zero.

    1 = (1 X 1)
    0 = 0(1 X 1)

    Primary l does not number:

    01 001 000
    02 004 004
    03 009 018
    04 016 048
    05 025 100

    06 036 180
    07 049 294
    08 064 448
    09 081 648
    10 100 900

    100 = 19 + 17 +15 + 13 +11 + 09 + 07 + 05 + 03 + 01
    5 X 2 = 10
    T(2) = (19 + 1) = (17 + 3) = (15 + 5) = (13 + 7) = (11 + 9)
    U-turn = 11 + 9
    100 - 81 = 19 etc.
    > 3 = 4 - 1

  10. #40
    Senior Member wildcat's Avatar
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    The illusion of the number increasing from the medial point (m)

    09 18 27 36 45 54 63 72 81 90

    9 + 9 = 18
    18 + 18 = 36
    27 + 27 = 54
    36 + 36 = 72
    45 + 45 = 90

    m = 90

    54 + 54 = 18 + m
    63 + 63 = 36 + m
    72 + 72 = 54 + m
    81 + 81 = 72 + m
    90 + 90 = m + m

    54 + 54 = 108
    63 + 63 = 126

    126 + m = 108 + 108
    A metathesis.

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