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Originally Posted by Fido So one and one is not two? |
If by "and" you really men "plus", and using the verb "to be" you mean the
is of identity, then yes, that is correct insofar as two can be defined by the sum of one and one. But remember that the verb "to be" has several meanings: identity (I am a human), predication (I am tired), and existence (there is life after death). When you use the "is" of identity, it is close to "equal" (though not necessarily -- because "I am human" is not a reciprocally true statement, where as 2=1+1 is).
However, a literal verbal reading of 1+1=2 is NOT "one and one is two", it is "one PLUS one EQUALS two".
Is it possible for 1+1 to not equal 2? Sure -- just redefine one symbol in that statement and it's no longer correct. There is nothing magical about those symbols.
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It is not wrong to think reality does not behave rationally.
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We assume rationality because it is the psychological mechanism that keeps our brain organized. But it is by no means our primary faculty, and the assumption of rationality in the world doesn't make it so. The world just is what it is, rational or not -- the rationality is our own projection.
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but the rules of that rationale changes depending upon the focus, so that Nuetonian physics are still valid, as are the physics of Gallilaeo, but they do not explain Einstein's relativity, or nuclear physics.
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Newtonian physics are still valid? They were never entirely valid even at the time Newton described them. Newton's predictions were inaccurate for the observed planetary orbits, he was inaccurate about the effect of gravity on light, he could not explain the equivalence principle, and he erroneously postulated that gravity was produced by motion (which he could not explain for planetary gravitation). While Newton's physics constituted a huge advance (certainly compared with Galileo, whose description was far less complete), nearly all of these problems were reconciled by general relativity and the introduction of curved space-time.
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I look at every science text book I have, even on the moral sciences and the one thing they all do is systematize the subject. All bring order to apparant anarchy, and I am not saying that the order is not there.
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For many sciences there are several parallel and competing ways of systematizing things. This is especially true in biology and medicine, where classical descriptions (using ultrastructure, anatomy, microscopy) have been supplanted by molecular taxonomy. Systematization
might be intended to organize things according to a putative "ultimate", but it's often just done for cognitive convenience, i.e. ease of memorization and learning.
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All I am saying is that science chips away at anarchy that presents itself as certain facts without cause or effect, and science seeks the cause and the effect. Data is like the many pieces of a jig saw puzzle, and when each piece of information can be put into a coherent whole then it can be concieved of as a idea, as opposed to so much data, some without meaning and some with much meaning.
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I think we probably are saying the same thing, but we conceptualize it differently. I shy away from words like anarchy and order when regarding what we know or don't know. Data are not necessarily part of a jigsaw puzzle of truth -- they're part of a jigsaw puzzle of observation. I say this because data can be reinterpreted, supplemented, or overturned as our observational skills improve.
Medicine, of course, isn't a pure science by any means, but it certainly calls upon a lot of science. And people in medicine are fond of the saying:
"Half of what we know is right and half of what we know is wrong. The problem is we don't know which half is which."