An argument against modus ponens
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An argument against modus ponens         


Author: John Jones
Date: Sep 3, 2008 13:55

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".
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Re: An argument against modus ponens         


Author: Immortalist
Date: Sep 3, 2008 18:32

On Sep 3, 1:55 pm, John Jones aol.com> wrote:
> 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
>

Modus Ponens:
If P implies Q and P is true then it follows that Q is also true.

..."implies," which is the sole rule of inference in propositional
calculus...

http://mathworld.wolfram.com/ModusPonens.html
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Re: An argument against modus ponens         


Author: Shrikeback
Date: Sep 3, 2008 21:27

On Sep 3, 1:55 pm, John Jones aol.com> wrote:
> Modus Ponens:
> If P, then Q.
> P. Therefore, Q.
>
> The "If" announces a truth value.

It does?
> So "if P" requires the consideration
> of another element or object through which a truth value may be
> ascertained.

Why?
> 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

That makes no sense. You just left an implied "if" behind, so
you are saying "If P then Q" is equivalent to "If P and R (something
if gives us) then Q." This is the source of your sophistry.
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Re: An argument against modus ponens         


Author: ZerkonX
Date: Sep 4, 2008 05:11

On Wed, 03 Sep 2008 21:55:26 +0100, John Jones wrote:
> 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.

============================
If today is Tuesday, then I will go to work.
Today is Tuesday.
Therefore, I will go to work.
============================

it isn't P and R then Q. More like 'only when P=R then Q'

Today must equal Tuesday before Work happens.
you seem to be forcing Today as always equaling Tues so always equaling
work. 'If' implies that today does not always equal Tuesday.

If I may be wrong, then I will stop
I may be wrong
therefore, I will stop!
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Re: An argument against modus ponens         


Author: John Jones
Date: Sep 8, 2008 11:44

Shrikeback@gmail.com wrote:
> On Sep 3, 1:55 pm, John Jones aol.com> wrote:
>> Modus Ponens:
>> If P, then Q.
>> P. Therefore, Q.
>>
>> The "If" announces a truth value.
>
> It does?
>
>> So "if P" requires the consideration
>> of another element or object through which a truth value may be
>> ascertained.
>
> Why?
>
>> 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 ...
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Re: An argument against modus ponens         


Author: Shrikeback
Date: Sep 8, 2008 12:05

On Sep 8, 11:44 am, John Jones aol.com> wrote:
> Shrikeb...@gmail.com wrote:
>> On Sep 3, 1:55 pm, John Jones aol.com> wrote:
>>> Modus Ponens:
>>> If P, then Q.
>>> P. Therefore, Q.
>
>>> The "If" announces a truth value.
>
>> It does?
>
>>> So "if P" requires the consideration
>>> of another element or object through which a truth value may be
>>> ascertained.
>
>> Why?
>
>>> If we eliminate the ontological and existential status with
>>> which the term "if" baptises its objects, then modus ponens reduces to
> ...
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Re: An argument against modus ponens         


Author: John Jones
Date: Sep 8, 2008 14:29

Shrikeback@gmail.com wrote:
>
> Well statements of the form
>
> If P then Q are true iff P implies Q.
> By definition. So assume P, which
> is in this case:
>
> "this statement is true"
>
> Clearly if the statement is true then
> Q is true as well, since the statement
> merely states that Q is true, if the
> statement is true. Therefore the truth
> of the statement implies that Q is true,
> by, once again, modus ponens.
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Re: An argument against modus ponens         


Author: Shrikeback
Date: Sep 8, 2008 15:17

On Sep 8, 2:29 pm, John Jones aol.com> wrote:
> Shrikeb...@gmail.com wrote:
>
>> Well statements of the form
>
>> If P then Q are true iff P implies Q.
>> By definition.  So assume P, which
>> is in this case:
>
>> "this statement is true"
>
>> Clearly if the statement is true then
>> Q is true as well, since the statement
>> merely states that Q is true, if the
>> statement is true.  Therefore the truth
>> of the statement implies that Q is true,
>> by, once again, modus ponens.
>
> I don't know why you used an example of self reference. Self-reference
> is always indistinguishable from reference. In that case, "this ...
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Re: An argument against modus ponens         


Author: John Jones
Date: Sep 9, 2008 13:46

Shrikeback@gmail.com wrote:
> On Sep 8, 2:29 pm, John Jones aol.com> wrote:
>> Shrikeb...@gmail.com wrote:
>>
>>> Well statements of the form
>>> If P then Q are true iff P implies Q.
>>> By definition. So assume P, which
>>> is in this case:
>>> "this statement is true"
>>> Clearly if the statement is true then
>>> Q is true as well, since the statement
>>> merely states that Q is true, if the
>>> statement is true. Therefore the truth
>>> of the statement implies that Q is true,
>>> by, once again, modus ponens.
>> I don't know why you used an example of self reference. Self-reference
>> is always indistinguishable from reference. In that case, "this
>> statement is true" refers to a lost or hidden statement. That is why I
>> said I don't know what could be true about it.
> ...
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