@Zetherin,
Zetherin;136061 wrote:I am referring to the link that was posted by ughaibu on the last page. Did you read that argument?
No. Sorry, but I take the view that if a poster thinks an argument applies to the discussion at hand, they should at least be able to provide a brief summary of it themselves in their own words rather than just pointing to a link.
If I think your summary of Quine's argument has some merit then I will take the time to read the full argument later on.
---------- Post added 03-04-2010 at 03:34 PM ----------
fast;136057 wrote:The referent of the term, "three" is what it is, and even should it have ever been the case that we never discovered it, it would remain what it is;
That would only be true if the referent of "three" is a mind-independent entity, like a planet is But our concept of numbers is different than our concept of substances like planets.
And after all we do refer to things that are not mind-independent: like the rules of a game, or the laws of our country, or a poem.
Mathematical propositions are rules. Saying the number three is a mind-independent entity that we discover is like saying a Pawn is a mind-independent entity that we have discovered.
I would suggest that it is better to ask how we use the word "three" rather than ask what entity the word "three" stands for. That way you can reach a better understanding of the word "three" and avoid pointless speculations about the ontology of the number three.
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after all, truth is independent of knowledge.
So? That doesn't support your view that there is a mind-independent entity that we call "three".
I guess you can stipulate that a referent is a mind-independent entity that we refer to and then say that the referent of "three" is the number three and so that means we had to discover three because, being mind-independent, it enjoys independent existence just like other substances that we have discovered. But that is creating entities by stipulation. Not a very reliable way for determining what entities actually do exist.
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What you have just suggested is the invention of a completely different numbering system with numerals that not only have different meanings but different referents as well
Yes, I invented a different numbering system. And it differs from the invented numbering system we use.
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There are multiple ways to describe the world around us.
Well, that is one of the points I am trying to make here.
And we usually do not assume that a description of the world around us is a mind-independent entity. So why should we assume that of a number like three when we use it in a description of the planetary system we inhabit?