An argument against modus ponens
- From: John Jones <jonescardiff@xxxxxxx>
- Date: Wed, 03 Sep 2008 21:54:30 +0100
Modus Ponens:
If P, then Q.
P. Therefore, Q.
The "If" announces a truth value. So "if P" requires the consideration of another element or object through which a truth value may be ascertained. If we eliminate the ontological and existential status with which the term "if" baptises its objects, then modus ponens reduces to
P and R, then Q
P. Therefore, Q
And eliminating the subjective "then" and "therefore" we have modus ponens
P and R and Q
P and Q
CONCLUDING
Plainly, modus ponens is invalid. The truth value operator "if" ushers in another object, while "P." does not. The argumentative form may be correct, but modus ponens describes two different object events - "P and R" and "P".
DISCUSSIONS
Modus Ponens doesn't get off the ground - it describes two different object events. But let's take a closer look at its subjective or existential argumentative form which may yield something of worth.
Modus ponens
If P, then Q = P. Therefore, Q
Which reduces to
If, then = then, therefore
This says that existential possibility is equivalent to existential reality when each identifies the same object. It also says that reference to an object (which is the way that "possibility" presents its objects) is equivalent to the object itself.
Modus ponens, in that case, is a convoluted form of the transcendentally real notion that reference and self-reference are the same. Accordingly, (Godellians take note) any proof which employs modus ponens and which also relies on the distinction between self-reference and reference is scuppered from the outset.
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