question (logical reasoning)

most chairs are tables

Question

question (logical reasoning)

most chairs are tables

mathmath333 · Answer

attachment

mathmath333 · Answer

|dw:1458501992592:dw|

anonymous · Answer

Ok
So there are two conclusions you can eliminate straight away, which ones?

mathmath333 · Answer

II ?

anonymous · Answer

Well think of it this way for II, ALL trolleys are tables so atleast SOME tables must be trolleys right?

It's only some because the ones that are chairs as well as tables can't be trolleys because chairs can't be trolleys

anonymous · Answer

So II is true
There are still 2 of them that you can get rid of straight away

christos · Answer

I chose the answer to be (b)

anonymous · Answer

Wait
Actually II is phrased weird

christos · Answer

You can eliminate (IV) since "No chairs are trolleys"

christos · Answer

hm

anonymous · Answer

Yeah b would be the most correct as far as I can see
Because I is the only one that is remotely true

christos · Answer

Actually you dont eliminate (IV) it fit's to answer (b) as it is

christos · Answer

'some'

mathmath333 · Answer

no chairs are trolleys is correct so IV is correct

christos · Answer

ye

anonymous · Answer

No b is saying it is I OR II,III, IV
So I could be the only answer

No IV is wrong because ALL chairs are not trolleys not SOME

mathmath333 · Answer

if all chairs are not trolleys is true then some chairs are not trolley must also be true

anonymous · Answer

See that's the problem here you can argue semantics

IV can be seen as true OR false because you can say what you said @mathmath333 or you can say what I said as it has to be ALL not SOME

mathmath333 · Answer

why is answer given in book is option d.)

christos · Answer

what kind of book is that @mathmath333

christos · Answer

?

mathmath333 · Answer

it is book of logical reasoning

anonymous · Answer

See that's the semantics part you can interpret some of the conclusions in that way

anonymous · Answer

But wait how could II be true?
Atleast some tables have to be trolleys because the trolleys that are tables can't be chairs

mathmath333 · Answer

hey i drew a euler digram for this see if the diagram is correct or not

|dw:1458502742130:dw|

anonymous · Answer

Yeah that's correct

mathmath333 · Answer

i also concluded that II is incorrect and option c.) is correct but in book option d.) is given

anonymous · Answer

Exactly
That's weird
Although II and III could be false but that's only if you argue of the use of "some", "all", and "most" but I'll give it the benefit of the doubt and say "c" would be true

phi · Answer

it's not semantics.  some chairs are not trolleys  
therefore the statement is true.

yes, you draw a diagram.  It does not matter much, but I would make the chairs overlap more with the "tables"  because "most" are tables

but once you have the picture you answer each deduction:

I some tables are not trolleys.  yes some are not.   so      T
II all tables are not trolleys.  no , some are                        F
III some chairs are tables                                                   T
IV some chairs are not trolleys                                          T

so I, III and IV are true

mathmath333 · Answer

ok thnks

phi · Answer

if it helps,  translate  "some"  into "there exists"  (at least one)

mathmath333 · Answer

if u examine the statement "all tables are trolleys " then it seems false

then by the negation  "all tables are not trolleys " should be true

phi · Answer

look at your picture.

mathmath333 · Answer

ok

phi · Answer

the picture shows that some tables are trolleys.
(doing logic using formulas rather than diagrams requires taking a course in logic)

anonymous · Answer

can u tell me what this is about so i can help u