Trevor Salyzyn wrote:Fujaro: why are you taking a scientist's advice on a philosophic issue? It is a flat-out
Appeal to Authority. Einstein is quite clearly dealing with things outside of his range of specialization, and his claims here are no better than a bloke off the street.
Logic can and does make positive claims about reality, including those untestable laws upon which empirical science is based. The law of non-contradiction, derived from self-identity, is one of these. It is certain that if a given scientific theory is not internally consistent, it is a false theory. From this innocuous positive claim, an infinite number of theories are automatically dead in the water, completely impossible. There's an invisible pink unicorn in my garage.
There is only one exception to the law of non-contradiction, and it is not in physics. (It is through the law of non-contradiction that it can be divined that q.m., for instance, is not a complete theory, and will need to be replaced by another one.) This single exception occurs when a logical proof deals with its own truth, as in the statement "this sentence is false".
Good enough of a rebuttal for you?
Hello Trevor,
Well if I had not given examples for the statements I made, you could have argued that it all is an appeal to authority. But I gave several examples. Examples you don´t simply wave away with an appeal to unnamed authorities in a proclaimed specialized field, which in fact is also a (more concealed) appeal to authority. Should Gödel the logician certify as an authority? You know of course that Einstein and Gödel were close friends for a considerable period of time. Gödel showed that logical formalism cannot be complete and consistent at the same time. How then can it say something absolute about reality? If there is some real simple answer to this question please let me know, but I expect it not to be the case since the literature on this topic is quite considerable. Also (even without Gödel's theorem) it is possible to have internally consistent theories that are incomplete.
I acknowledge that logic can and does make positive claims about reality but only tentative ones and not without validation in the real world. This even applies to the law of self-identity. For you can posit that an electron is a particle. But quantum mechanics shows that an electron at the same time can be wavelike in nature. One could ask then, what has happened to this law of identity that states that nothing can be someting else than itself? If you have a good advice for me here I am very interested about it and with me a fairly large community of philosophers that have pondered on this question. From it springs a whole spectrum of philosophies on quantum mechanics ranging from the Copenhagen Interpretation to loop quantum gravity. Not a thing that is easily swept under the rug with appeal to more specialized authorities.
But lets make some things clear about where I stand first, for this may all too soon give you the wrong idea about where I stand. I am not a mystic free riding on the back of quantum mechanics proclaiming the demise of logic, reason and science. Logic, reason and science are all the tools we have for any knowledge at all. That is my personal opinion. The validation of science and reason is in what is achieved with it. Just look in modern hospitals and you'll get the idea. The aplication of logic and reason to reality is validated by its usefullness and aptness to build very accurate models of reality from. But it is based on tentative truths both in the empirical sense and in the logical sense. Thus, I am a strong proponent of reason and logic but when the A-word (~ Absolute) hits the air, my bullshit detectors are on. The pink unicorn isn't in your garage I'm sure, because next to absolutely sure there is something like probable which is in most cases sure enough for me.
So I gave you non-euclidean geometry, the incompleteness theorem of Gödel, the dual nature of electrons, curved space, M-brane theory, A=A in the light of unknown dimensions, the application of addition rules to fluids and Newtonian mechanic versus General Relativity. I can go on with the incompleteness of Zermel-Franckl set theory, Bayesian probability logic and other examples. So frankly, no I don't think my answer is sufficiently addressed by Diebert or you because all you do is stating a claim. You don't supply any logic or reason why what you state should be true (appeal to logic by sheer will?) and you haven't addressed a single example I gave.