Is the following sentence a logical proposition?

Question

Is the following sentence a logical proposition? Justify your answer. If it is a proposition, determine its truth value.

Consider the conditional statement "Every week having seven days is necessary for the moon to be made of cheese". Rewrite this in "If ... then ..." form and determine its truth value. How did you arrive at the truth value? 

Answer 1

A 7 day week is necessary for a cheese moon

Let S = seven day week

Let C = a moon made of cheese

If C, then S means S is necessary for C

If S then C means S is sufficient for C

If you assume a false proposition, you can derive any statement from it,

it implies anything.

so if C is false, if the moon is not made of cheese, then S follows, regardless whether S is true or false.

If C then S is a true statement

The truth table is as follows

C S If C then S

T T T

T F F

F T T

F F T

The only way If C then S is false is when C is true and S is false.

We know S is true, so that alone makes If C then S true.

But life on Mars is an unrelated proposition