Preposition Discrete Maths

Question

Why folloiwng statements are not prepositions?Example for each please

I always tell a lie

I dont exist

This statement is false

Comments

preposition is nothing but for a statement we can say that is either TRUE or FALSE.if it is not T or F then that is not a preposition.

1st statement:

if i tell a lie then it is TRUE.

i i tell a truth then it is FALSE.

we cannot say it is either T or F,according to the statement it changes so it is not a preposition.

2nd statement also same as above.

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Why are we considering this case

if i tell a truth then it is FALSE.

We are already given i always tell a lie so how can i tell truth