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Remark 2

[2DM]The symbols \(∧\) and \(∨\) can be used in two different contexts, where they assume different meanings.

  • If \(x,yβˆˆβ„\) are real numbers, then \(x ∧ y\) is the minimum of the two numbers, while \(x ∨ y\) is the maximum of the two numbers. This meaning is also appropriate when \(x,y\) are in a totally ordered set. 1

  • In mathematical logic, \(∧\) is the conjunction and \(∨\) is the disjunction. See [00D].

  1. \(∧\) and \(∨\) are also used in partially ordered set, but we will not discuss their definition in this text.
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  • \(\wedge \)
  • \(\vee \)
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