'When Are Relations Neither True Nor False? [Logic]

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From: Daryl McCullough on 26 Mar 2010 14:18

Nam Nguyen says...

>Glad that you and I agree "Truth is relative to an interpretation".

I think anyone who has studied classical logic would agree with that.

>Are you with me, then, natural numbers and arithmetic truths are
>_just relativistic_ notions (abstractions)?

Naturals are a particular interpretation of the theory PA.

--
Daryl McCullough
Ithaca, NY

From: Nam Nguyen on 26 Mar 2010 14:22

Daryl McCullough wrote:
> Nam Nguyen says...
>
>> Glad that you and I agree "Truth is relative to an interpretation".
>
> I think anyone who has studied classical logic would agree with that.
>
>> Are you with me, then, natural numbers and arithmetic truths are
>> _just relativistic_ notions (abstractions)?
>
> Naturals are a particular interpretation of the theory PA.

Then, are arithmetic truths are about them relative, subjective, which
is my question?

From: Alan Smaill on 26 Mar 2010 14:56

Nam Nguyen <namducnguyen(a)shaw.ca> writes:

> Alan Smaill wrote:
>> Nam Nguyen <namducnguyen(a)shaw.ca> writes:
>>

>>> The ultimate logic is one which is relativistic.
>>
>> Is that an absolute truth, then?
>>
>> I know, it's an old ploy, but your position just begs the question.
>>
>
> No. It's relative to what we, mortal beings, are entitled to know and to
> what existence realm we happen to be in.

But that's just your subjective opinion of the situation, isn't it?

> A lone man is walking in a road that seems to stretch to nowhere. Is the
> evening lonely, or is that just a lonely feeling in the evening?

The man is very happy.

--
Alan Smaill email: A.Smaill at ed.ac.uk

From: Nam Nguyen on 26 Mar 2010 15:04

Alan Smaill wrote:
> Nam Nguyen <namducnguyen(a)shaw.ca> writes:
>
>> Alan Smaill wrote:
>>> Nam Nguyen <namducnguyen(a)shaw.ca> writes:
>>>
>
>>>> The ultimate logic is one which is relativistic.
>>> Is that an absolute truth, then?
>>>
>>> I know, it's an old ploy, but your position just begs the question.
>>>
>> No. It's relative to what we, mortal beings, are entitled to know and to
>> what existence realm we happen to be in.
>
> But that's just your subjective opinion of the situation, isn't it?

That's why nothing is an absolute truth, absolutely true independent of
any opinion, observation, perception, endowed ability, etc..

>
>> A lone man is walking in a road that seems to stretch to nowhere. Is the
>> evening lonely, or is that just a lonely feeling in the evening?
>
> The man is very happy.

Relatively speaking of course.

From: Nam Nguyen on 26 Mar 2010 15:13

Nam Nguyen wrote:
> Alan Smaill wrote:
>> Nam Nguyen <namducnguyen(a)shaw.ca> writes:
>>
>>> Alan Smaill wrote:
>>>> Nam Nguyen <namducnguyen(a)shaw.ca> writes:
>>>>
>>
>>>>> The ultimate logic is one which is relativistic.
>>>> Is that an absolute truth, then?
>>>>
>>>> I know, it's an old ploy, but your position just begs the question.
>>>>
>>> No. It's relative to what we, mortal beings, are entitled to know and to
>>> what existence realm we happen to be in.
>>
>> But that's just your subjective opinion of the situation, isn't it?
>
> That's why nothing is an absolute truth, absolutely true independent of
> any opinion, observation, perception, endowed ability, etc..

Iow, welcome to this statement: "This statement is relatively/subjectively true".