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ArtGuy said:
Yes, well, my way comes with a secret decoder ring. Advantage: Me![
Hi, Artguy -
Dang! My synthetic a priori comes with no decoder ring. But I do have good news: I just saved a bunch of money on my car insurance...
I subscribe, more or less, to empiracal realism as far as numbers go. I think that numbers, like everything else, can only be absorbed into our intellect by experience. I would put great weight behind your crumpled paper example, though I would also tell Hume that he was onto something.
While there are objective truths (or at least we may pretend there are for the sake of argument), the nature of our minds makes it impossible for us to be 100% sure about anything.
Sorry to interrupt in the middle of a paragraph, but I feel that that statement was a bit too strong. Yes, we can doubt 99.9% of everything with a Cartesian-style project, but eventually we get down to propositions upon which doubt can find no traction - the most basic of which are the facts that thought and experience do happen. Something, as opposed to nothing, is definitely going on here.*
This brings us to one of those trite "OMG we're in The Matrix!!" thought experiments, but those ultimately have value. It's impossible for us to discern between real and fantasy, because we're ultimately at the mercy of our senses. We have nothing to go on but them, and so we have to rely on what they tell us, and on what our brain does with this information.
Well, you prickly empirical realist you, I am an objective idealist, so I say we
are in a matrix of sorts. I think all of this universe, with it's many different places and things, comes from one "projector". If you want some reason for thinking so, we could discuss Bell's Theorem of non-locality. Bell implies, to my way of thinking, that the concepts of there being different places, different things and different times are products of the human mind. The human mind decodes the "beam from the projector" and gives us the universe we see.
That brings me back around to Kant**. He split reality into two parts:
noumena, the "thing-in-itself", and
phenomena, the world as it appears though human spectacles. Space, time, quantity, and several other such concepts are not part of the
thing-in-itself, but concepts built into the human intellect - things every human brings to the table when he arrives. Hence, we have no choice but to place things in space, observe events in time, and understand reality in terms of number.
Notice how scientists carry Kant around with them (even if unconsciously). They never presume to tell you "how things really are". That would be to presume to know the
thing-in-itself, which is forever out of reach of the human mind (said Kant). Recall the Copenhagen stance toward quantum reality: "Don't discuss it!"
And if you look deeply into the philosophy of science, I think you'll find that number is seen as a useful phenomenal tool, but not necessarily a feature of the world-in-itself. Does math apply to the in-itself world? We don't know and we can't find out, because we cannot step out of the human way of thinking where number is built-in.
Looking at reality and seeing numbers does not tell us that there are numbers in the world. It tells us that there are numbers on our lenses.
What does all this mean with regards to empirical realism? Well, for one thing, the fallibility of our senses is by no means a death knell for realism. Whether or not there exists objective truth is a separate issue from whether or not we can ever know it. Consider a certain leaf on a certain tree in a certain jungle in South America. There is either a frog on that leaf right this moment, or there isn't. Neither of us are ever going to know which it is, but that doesn't stop there from being a definite answer to that question.
.................There was a young man who said "God
.................Must find it exceedingly odd,
.................That the tree, as a tree,
.................Continues to be,
.................When no one's about in the quad."
................"Young man, you're astonishment's odd.
.................I'm always about in the quad -
.................And that's why the tree
.................Continues to be -
.................Since observed by, yours faithfully, God."
Similarly, while the limitations of the brain/sense construct makes it impossible for us to know, for certain, whether or not we've got the details right regarding the precise nature of the number 12, that doesn't mean that 12 doesn't definitely exist as a real, though of course intangible, quantity.
That is true. Twelve
could be a real thing that exists out there independent of us. But where is twelve? Where does it live? You'd just about have to place it in a Platonic realm of Forms, wouldn't you?
:D
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* I may be wrong, but I think Descartes went too far in allowing "I think therefore I am" as unassailably certain. Yes, he did detect thought as he reflected on the contents of his awareness. But I have doubts that he was able to detect an "I" that was
having the thoughts.
Descartes fell prey to a linguistic convention that insists that whenever there is an action, there must be a subject that performs that action. An example of that convention is the "it" in the sentence "it is raining".
If Descartes wanted to cut out all doubt, he should not have assumed that there was an "I" who does the thinking. That "I" is an elusive phantom who can never be caught in the act.
This is largely tangential - hence the footnote.
** No, I'm not a Kantian. If you must know, I'm somewhere between George Berkeley and old Heraclitus.
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