I sit under a conclusion so quietly that people may argue above me for hours. Challenge me, and the whole discussion can change. What am I? - Answer & Hint

I sit under a conclusion so quietly that people may argue above me for hours. Challenge me, and the whole discussion can change. What am I?

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Hint: It is something treated as true before being proved.

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The answer is

An assumption

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An assumption is an unstated starting point. If it is questioned, the conclusion built on top of it may change.

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Ten seconds before midnight I make a room loud; ten seconds before an exam I make it silent. Same numbers, different feeling. What am I?

Type:LogicTime

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The answer is

A countdown

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Lawyers build me, logicians test me, and one weak premise can make me collapse. What am I?

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The answer is

An argument

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What is the maximum number of pieces from 3 straight cuts across a round cake, if each cut crosses all previous cuts inside the cake?

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The answer is