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Find the predicate logic for the following statement.
There are at most two cars.

  1.   image:MST6/o1.JPG
  2.   image:MST6/o2.JPG
  3.   image:MST6/o3.JPG
  4.   None of these

please explain each one of them

asked in Mathematical Logic by Veteran (14.8k points) 15 151 316 | 149 views

1 Answer

+3 votes
Best answer

1.image:MST6/o1.JPG

 Says For all x  and all y (if (x is car and y is car) then either one of them  be true i.e. x= y or y=x)

 Inderectly:  say  There are atmost one cars

2. image:MST6/o2.JPG

Says there exist Two  car x and y  which are not same then all other car z are either same as x or same as y.

Indirectly : There are exactly two cars

3. image:MST6/o3.JPG

Says For all x all y all z (if x is car and y is car and z is car then  Atmost 2 car exist.

Indirectly : There are at most Two cars

answered by Veteran (52.8k points) 21 71 325
selected by
in third case,what is the condition for 2 cars?

i mean if x=z and x=y are true then z=y and hence all the cars are same nd hence there is only 1 car.

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