Question

Logic Question: The following 4 statements and only these are found on a card.
On this card exactly one statement is false.
On this card exactly two statements are false.
On this card exactly three statements are false.
On this card exactly four statements are false.

The number of false statements is exactly.
a) 0
b)1
c)2
d)3
e)4
This was the first question I got like this and had no real examples to work off of, and help would be greatly appreciated.

Answer 1

3

Answer 2

liar's paradox ?

Answer 3

haha

Answer 4

its more difficult than you think it is @andu1854

Answer 5

lets think about this, if statement 1 is true, then how many statements wud be rendered false

Answer 6

u get it?

Answer 7

you're also going with 3 ?

Answer 8

On this card exactly one statement is false. `T`
On this card exactly two statements are false. `F`
On this card exactly three statements are false. `F`
On this card exactly four statements are false. `F`

Answer 9

that seem to agree xD so yeah we're done !

Answer 10

S1
if T --> then 3 true, 1 False
but if true 3 False, 1 true
s2
if T-->then 2 true 2 false
but if true ,3 False,1true
....
s3
if true then 1 true, 3 false
but if true 3 false 1 true yep

Answer 11

however that doesn't agree with first statement semantically

Answer 12

because you're evaluating true/false based on meaning of the sentence, you need to consider the truth value of the sentence also

Answer 13

s1 says there is only one false statement but you found 3 false statements

isn't that a classic liar's paradox ?

Answer 14

right okaay

Answer 15

lemme think again, i think if we write out true and false scnearios for each statment, it shud work out

Answer 16

Next you're gona try this :

On this card exactly one statement is false. `F`
On this card exactly two statements are false. `F`
On this card exactly three statements are false. `T`
On this card exactly four statements are false. `F`

Answer 17

that seem to work ?

Answer 18

ya

Answer 19

Thank you very much, that was a huge help...