Translation

Translate into symbolic logic: 'If it is raining, then the ground is wet.' (Let R = it is raining, W = the ground is wet)

Translate: 'It is neither raining nor snowing.' (R = raining, S = snowing)

Hint: 'Neither...nor' means 'not this AND not that.'

Translate: 'Either John studies or he will fail the test.' (S = John studies, F = he fails)

Translate: 'If it is not sunny, then we will stay home and read.' (S = sunny, H = stay home, R = read)

Translate: 'John will go to college if and only if he gets a scholarship.' (C = goes to college, S = gets a scholarship)

Translate: 'Unless you study, you will not pass.' (S = you study, P = you pass)

Hint: 'Unless' typically means 'if not.'

In an argument, what is the difference between a premise and a conclusion?

What indicator words commonly signal a premise?

What indicator words commonly signal a conclusion?

Translate: 'If the car starts and the road is clear, then we will leave on time.' (C = car starts, R = road clear, L = leave on time)

Translate: 'It is not the case that both Alice passed and Bob failed.' (A = Alice passed, B = Bob failed)

Hint: By De Morgan's law, this is equivalent to ~A v ~B.

Translate and identify the form: 'If the bridge is open, we will cross. The bridge is open. Therefore, we will cross.' (B = bridge open, C = cross)