A logical argument against the absolute nature of logic

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pakled
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22 May 2009, 11:50 pm

"logic is tweeting bird in tree. Logic is a bunch of flowers that smell bad" - Spock.

I think the problem with logic is establishing the premise in the first place. You can logically argue something totally abhorrent (but that would be a modest proposal, for example), yet stay true to a logical argument. Logic is a tool, but sometimes 'tools' use logic...present company excepted...;)



techstepgenr8tion
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22 May 2009, 11:56 pm

pakled wrote:
"logic is tweeting bird in tree. Logic is a bunch of flowers that smell bad" - Spock.

I think the problem with logic is establishing the premise in the first place. You can logically argue something totally abhorrent (but that would be a modest proposal, for example), yet stay true to a logical argument. Logic is a tool, but sometimes 'tools' use logic...present company excepted...;)


Exactly. Its similar to math in that sense; - 1, 583 2/3, ln e, d(x) of what? Calculus is great for engineering if you have good ingredients and ideas being thrown into the rubric but making advanced calculations in reference to lets say cow dung in a pasture - you start with dung, you shift some numbers around, calculate area or mass, and have dung in the end for which - unless your in the fertilizer business - the equations did little more than just entertain OCD or boredom for a few hours.



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23 May 2009, 12:15 am

Anything can be rationalized logically. Wars are logical to the person who benefits from it.


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twoshots
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23 May 2009, 12:22 am

tech wrote:
Exactly. Its similar to math in that sense; - 1, 583 2/3, ln e, d(x) of what? Calculus is great for engineering if you have good ingredients and ideas being thrown into the rubric but making advanced calculations in reference to lets say cow dung in a pasture - you start with dung, you shift some numbers around, calculate area or mass, and have dung in the end for which - unless your in the fertilizer business - the equations did little more than just entertain OCD or boredom for a few hours.

As a primate, I think we can imagine some excellent uses for parabolas and dung.


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danlo
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12 Apr 2010, 8:20 am

twoshots wrote:
Ancalagon wrote:
twoshots wrote:
McTell wrote:
I'm not sure that it would necessarily be that logicians created logic. It isn't like we say that mathematicians created mathematics or that scientists created science.

A lot of people do say that mathematicians create mathematics.

There are mathematicians on both sides of the issue.

While doubtless there are, most of the mathematicians I have spoken with who have given any idea of their opinion on the matter have seemed to be essentially in favor of the idea that math is constructed; I do not know the extent to which each perspective is held among mathematicians (although I myself, quite shamelessly, sympathize with mathematical platonism).

Now then, as for the original argument, whatever does absolute mean?

A MATHEMATICIAN might argue that math is constructed. But a PHYSICIST would argue that mathematics is inherent in the universe around us. Even if intelligent life were not around to argue, the circumference of a circle would still equal 3.14.... times its diameter. Gravity would still be 9.81 meters per second per second. Its like the tree falling in a forest without anybody around to hear it. The vibrations in the air that we perceive as sound are still there, even though nobody is perceiving them.


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Sand
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12 Apr 2010, 8:29 am

The use of logic to reach conclusions from faulty premises may land you in Oz but the use of illogic from almost any premises will pretty much guarantee you to be there.



danlo
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12 Apr 2010, 8:45 am

Hmm, it seems to me that any debate about logic tends to focus on the semantic formalization of its use. To argue against its absolute nature, would be to argue against mathematics itself.

If I were to state: "If A is a subset of B, and if B is a subset of C, then A is a subset of C", or to further simplify: If 1<2 & 2<3, then 1<3, what possible argument can you raise? You might argue that the logician has formalized the problem incorrectly, that perhaps 2 is 3, and 3 is 2, and < actually means >. But in the end, you are arguing about semantics, and not about the nature of logic.


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12 Apr 2010, 10:41 am

Umm.... I don't think that most people who argue against logic really are going to argue for mathematics much. Especially given that the foundations of mathematics are likely more questionable than the foundations of logical analysis. As it stands, we cannot know all of the right math in the universe.

As for your argument, on ranked numbers, it is fallacious. Rock beats scissors, scissors beats paper, does not mean that rock beats paper. Instead, rock beats scissors. All that one has to do is claim that some issue gets in the way of the transitivity.

All of that being said, danlo, you cannot put forward an argument that logic is correct or that logical truths are absolute/non-relative. The entire affair would beg the question.



iamnotaparakeet
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12 Apr 2010, 11:00 am

You make a generalization too large, people will find counterexamples.



ruveyn
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12 Apr 2010, 3:14 pm

Sand wrote:
The use of logic to reach conclusions from faulty premises may land you in Oz but the use of illogic from almost any premises will pretty much guarantee you to be there.


Mostly correct. However note that a broken 12 hour clock tells the right time twice a day.

ruveyn



Sand
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12 Apr 2010, 7:03 pm

ruveyn wrote:
Sand wrote:
The use of logic to reach conclusions from faulty premises may land you in Oz but the use of illogic from almost any premises will pretty much guarantee you to be there.


Mostly correct. However note that a broken 12 hour clock tells the right time twice a day.

ruveyn


But you have to have a working clock to know when to look.



Vexcalibur
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12 Apr 2010, 7:23 pm

The thing failed me after I read 2). Logicians didn't create logic.


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Awesomelyglorious
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12 Apr 2010, 8:59 pm

Vexcalibur wrote:
The thing failed me after I read 2). Logicians didn't create logic.

Ah, but where does it come from? Observation? Why is it valid? How could we distinguish the idea that logic is a result of the reasoning of logicians from the hypothesis that logic exists naturally in some form or fashion?



Sand
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12 Apr 2010, 9:16 pm

Awesomelyglorious wrote:
Vexcalibur wrote:
The thing failed me after I read 2). Logicians didn't create logic.

Ah, but where does it come from? Observation? Why is it valid? How could we distinguish the idea that logic is a result of the reasoning of logicians from the hypothesis that logic exists naturally in some form or fashion?


Why are logicians somehow considered unnatural?



Awesomelyglorious
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12 Apr 2010, 9:27 pm

Sand wrote:
Awesomelyglorious wrote:
Vexcalibur wrote:
The thing failed me after I read 2). Logicians didn't create logic.

Ah, but where does it come from? Observation? Why is it valid? How could we distinguish the idea that logic is a result of the reasoning of logicians from the hypothesis that logic exists naturally in some form or fashion?


Why are logicians somehow considered unnatural?

The distinction is between a result of the human mind and a "natural law" or whatever you would call it.



iamnotaparakeet
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12 Apr 2010, 10:29 pm

Awesomelyglorious wrote:
Sand wrote:
Awesomelyglorious wrote:
Vexcalibur wrote:
The thing failed me after I read 2). Logicians didn't create logic.

Ah, but where does it come from? Observation? Why is it valid? How could we distinguish the idea that logic is a result of the reasoning of logicians from the hypothesis that logic exists naturally in some form or fashion?


Why are logicians somehow considered unnatural?

The distinction is between a result of the human mind and a "natural law" or whatever you would call it.


The science fiction series, Star Trek: The Next Generation, is a result of the human mind. Star Trek could not exist if it weren't a human invention, so it is not like a "natural law". A "natural law" would exist regardless of having a person describe it in a treatise or otherwise develop a field for the continuation of the knowledge of it.