Question

For each of these collections of premises, what relevant conclusion or conclusions can be drawn? explain the rules of inference used to obtain each conclusion from the premises. a) "if i take the day off, it either rains or snows." "i took tuesday off or i took thursday off." "it was sunny on tuesday." "it did not snow on thursday."

Answer 1

The valid conclusion that can be made from these premises that are contained here based on inference is that it rained on thursday so i took the day off.

Definition of the prepositions

T(C) ; I took day C off

N: It rains

M: It would snow

The statement would be written as:

1. if i take the day off, it either rains or snows.

∀cD(c) → (N v M)

2. i took tuesday off or i took thursday off.

D(Tues) v D(Thurs)

3. sunny on thursday:

This implies that there was no rain and no snow.

4. No snow on thursday

From inference,

I did not take tuesday as an off day

¬D(Tues)

I took thursday off: D thurs

From the inference the valid conclusion that can be made here is that I took thursday off.

Read more on rules of inference here: https://brainly.com/question/6770971