Question

2. Is the binary connective “because” (as in: p because q) a truth functional connective? Why...

2. Is the binary connective “because” (as in: p because q) a truth functional connective?
Why or why not?

Homework Answers

Answer #1

'because' is not truth-functional connective. We can understand it as following type

If We know the truth-values of both P and Q, then it does not tell about the truth-value of 'P because of Q'

For example, the two statements are as follows

'Grass is green' and

'Snow is white'

Both statements are both true,

but 'Grass is green because snow is white' is an invalid argument.

And if we take example

Grass is green because grass is green'

Then it is a true statement ,and it involves two true statements.

This shows that with P and Q both being true, the statement 'P because of Q' can either be true or false, and hence we can conclude that it is not truth-functional.

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