logic form of this argument?
similar to one already posted:
(1.) If anything is an appearance, it is known in a filtered way,
(2.) We know our action in an unfiltered way.
(3.) Therefore, our action is not an appearance.
seems like a modus tollens ("If P, then Q. Not Q. Therefore, not P.)
but do we not need two variables for the second premise....???
perhaps it is invalid (denying the antecedent)?
Thanks!
(1.) If anything is an appearance, it is known in a filtered way,
(2.) We know our action in an unfiltered way.
(3.) Therefore, our action is not an appearance.
seems like a modus tollens ("If P, then Q. Not Q. Therefore, not P.)
but do we not need two variables for the second premise....???
perhaps it is invalid (denying the antecedent)?
Thanks!
Comments (5)
(1) P ? Q
"If the object of a knowing is an appearance, then the knowing is filtered."
(2) R ? ~Q
"If the object of a knowing is an action, then the knowing is unfiltered."
(3) R ? ~P
"If the object X of a knowing is an action, then X is not an appearance."
You were on the right track: like a modus tollens but there's a condition hanging over it in (2).
The OP argument may be invalid on account of premiss two (and perhaps others) not having a clear or coherent meaning.
'F' for 'is known in a filtered way'
'U' for 'is known in an unfiltered way'
'r' for 'our action'
(1) Ax(Fx -> ~Ux) premise
(2) Ax(Px -> Fx) premise
(3) Ur premise
(4) Therefore, ~Pr
That's valid.
You left out the premise Ax(Fx -> ~Ux). In other words, you did not make explicit that if something is known in a filtered way, then it is not also known in an unfiltered way.
(2) equivocates "our" in meaning. Not all action can be known. My action may or may not be filtered to me but other actions are always filtered.