Introduction to Contradictions

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  • 8/11/2019 Introduction to Contradictions

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    Pile Driving

    Pile Driving

    Driving Speed = f ( Ground Hardness, Pile Diameter, Tip Angle )

    Y = Driving SpeedWhat are the Knobs?

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    Pile Driving

    Pile Driving

    Driving

    Speed is

    Slow

    Ground

    is Hard

    Pile

    Diameter

    is Large

    Tip

    Shape is

    Blunt

    Tip

    Shape is

    Sharp

    Support

    is Poor

    Contradiction

    Use a knob and

    a setting

    Pile Diameter

    ThickThin

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    Pile Driving

    Pile Driving

    In order to drive fast, the pile must be

    sharp. In order to support heavy loads,

    the pile must be blunt

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    Compromise Solutions

    Compromise Solutions

    Conflicting

    Requirements

    Suppor

    ting

    Driving

    Sharpness

    Guarantees Risk

    Guarantees Risk

    Delays the Solution

    Delays the Solution

    Time Consuming

    Time Consuming

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    Idealized SolutionsIdealized Solutions

    Conflicting

    Requirements

    Suppor

    ting

    Driving

    Sharp

    It must be sharp

    and blunt

    Blunt

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    Setting the Knob toBoth Settings

    Sharp Blunt

    Pile Sharpness

    Rather than compromising, Do both

    (Resolve the Contradiction)

    We will consider four ways:

    Separation in Space

    Separation by DirectionSeparation by Scale

    Separation in Time

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    Separation in SpaceNon-UniformCarrierTouchingCompletely Separate

    NestingComposite or Mixture

    Roundinside Square

    Red & Green

    Copy Real

    McCoy

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    Separation by Direction, (Path or Plane)

    Allowed to

    turn while

    driving

    Constrained

    while

    supporting

    Round

    View

    Square

    View Stiff

    Flexible

    Red

    View

    Green

    View

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    Separation by Scale or Between the

    Parts and the Whole

    Massive and Light Table

    Inflexible Particles on a

    Flexible Carrier

    Smooth Object made

    from from Partially

    Rough Objects

    CounterWeight

    Chain is Flexible

    The Links are Stiff

    Heavy & Light Object

    Object

    Blunt & Sharp

    Sand Paper:

    Blunt & Sharp

    Square & Round

    Thick

    Thin

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    Separation in Time

    Abradeable

    Material

    ConcreteDrive

    Sharp

    Copy

    Pumped

    Concrete

    Cut & Not Cut

    Drive

    FirstPile

    Shaping

    Cap

    Remove

    Sharp

    Copy

    Drive

    Blunt

    Pile

    Second

    Pile

    Catches

    Lip Edge

    of FirstPile

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    ontradiction Game

    Game Rules

    A contradiction is given: Flexible

    and Rigid

    The team has 5 minutes to come up with examples ofobjects which have the contradictory properties. The

    examples may be real or made up, but they do need to be

    concrete and use actual physical phenomenon.

    The score is calculated as the total number of examples

    the number of classes of methods used.

    For example: a team comes up with 12 total examples.Since they used only 2 separation classes (separation in

    space and separation in time) the final score is 12 x 2 = 24

    The winning team shares their results with the rest of the

    class