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Any logic gate — in legal language, an alternative, choice or option, increases the inherent complicatedness of a proposition. | Any logic gate — in legal language, an alternative, choice or option, increases the inherent complicatedness of a proposition. | ||
Take | Take the alternative statements about cricket and rugby balls. The variables at play are: | ||
*round or oval ball | |||
*red or white ball | |||
*rugby or cricket | |||
*test or one-day cricket | |||
*rugby union or rugby league | |||
{{bluetable|align=right|width=50}} | {{bluetable|align=right|width=50}} | ||
{{cellwidth|100}} | {{cellwidth|100}} | ||
Line 45: | Line 50: | ||
(a) if it is red | (a) if it is red | ||
:(i) if it is round | :(i) if it is round | ||
::(A) may not be used for rugby | ::(A) may not be used for rugby union | ||
::(B) may be used for test cricket | ::(B) may not be used for rugby league | ||
::( | ::(C) may be used for test cricket | ||
::(D) may not be used for one-day cricket | |||
:(ii) if it is oval: | :(ii) if it is oval: | ||
::(A) may be used for rugby | ::(A) may be used for rugby union | ||
::(B) may not be used for test cricket | ::(B) may be used for rugby league | ||
::( | ::(C) may not be used for test cricket | ||
::(D) may not be used for one-day cricket | |||
(b) if it is white: | (b) if it is white: | ||
:(i) if it is round: | :(i) if it is round: | ||
::(A) may not be used for rugby | ::(A) may not be used for rugby union | ||
::(B) may not be used for test cricket | ::(B) may not be used for rugby league | ||
::( | ::(C) may not be used for test cricket | ||
::(D) may be used for one-day cricket | |||
:(ii) if it is oval: | :(ii) if it is oval: | ||
::(A) may be used for rugby | ::(A) may be used for rugby union | ||
::(B) may not be used for test cricket | ::(B) may be used for rugby league | ||
::( | ::(C) may not be used for test cricket | ||
::(D) may not be used for one-day cricket | |||
}}</small> | }}</small> | ||
Or you could render it thus: | Or you could render it thus: | ||
<small>{{subtable| | <small>{{subtable| | ||
1. An oval | 1. An ball that is oval: <br> | ||
:(i) may be used for rugby | :(i) may be used for rugby | ||
:(ii) may not be used for cricket | :(ii) may not be used for cricket | ||
2. A round | 2. A ball that is round: | ||
:(i) may not be used for rugby | :(i) may not be used for rugby | ||
:(ii) if it is red: | :(ii) if it is red: | ||
Line 78: | Line 87: | ||
Or how about: | Or how about: | ||
<small>{{subtable| | <small>{{subtable| | ||
1. Rugby must be played with | 1. Rugby must be played with a ball that is oval <br> | ||
2. Test cricket must be played with a round red | 2. Test cricket must be played with a ball that is round and red <br> | ||
3. One-day cricket must be played with a round white | 3. One-day cricket must be played with a ball that is round and white <br> | ||
}}</small> | }}</small> | ||
{{tablebottom}} | {{tablebottom}} |