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Let me now put you out of your suspense.
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I think I've heard bits and pieces of the answer everywhere,
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so I don't want to wait until we get it word-perfect.
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The point is, the one kilogram is a matter of convention.
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We want to know what is the mass of the elephant.
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We can do the seesaw experiment, you suggested,
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but the seesaw experiment requires gravity,
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so we don't want to do that.
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A spring will, on the other hand, exert a force.
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We don't know what the force of the spring is.
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If you assume that, you are not playing by the rule,
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we don't know what force it exerts.