Wikipedia:Reference desk/Archives/Mathematics/2017 June 17
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June 17
editMajority as logical quantifier
editWhat kind of logical quantifier is that represented/expressed by the noun majority?--82.137.12.33 (talk) 11:08, 17 June 2017 (UTC)
- Normally it means more than half, so more than 50%. A recent example is the recent UK election. Before the election the Conservative party had a majority (of seats). But after the election they no longer have a majority, though they are still the largest party, so in a sense they won the election.--JohnBlackburnewordsdeeds 12:13, 17 June 2017 (UTC)
- So, in math notation, that would be "> 0.5". To give an example, let's say the story problem is "Prove that the 5,6,7,8 rolls of a pair of dice represent the majority of dice rolls". So, if we used R2(5) to represent the probability of rolling a 5 with two dice, that statement becomes "Prove that R2(5) + R2(6) + R2(7) + R2(8) > 0.5". StuRat (talk) 17:27, 17 June 2017 (UTC)