*From*: "Andreas Ramos" <andreas@xxxxxxxxxxx>*To*: <lit-ideas@xxxxxxxxxxxxx>*Date*: Sun, 19 Dec 2004 09:52:25 -0800

There's many other quantum phenomena that don't make sense or aren't logical. When an electron moves from one atomic orbit to another, it doesn't move; it vanishes in one orbit and appears in the next. Another example: in quantum tunneling, an electron can transfer across a barrier, even though the electon lacks the energy to cross the barrier. It just pops up on the other side. Entanglement allows two photons to share the same identity: they are both the same photon, even though they are kilometers apart. Whatever happens to one photon will happen to the other simultaneously. There is no signal and it happens instantly, without any time lag. And of course, there's the wave/particle nature of photons: a photo is a wave and not a particle; a photo is a particle and not a wave, and both conditions can be proven conclusively. yrs, andreas www.andreas.com ----- Original Message ----- From: "Michael Chase" <goya@xxxxxxx> To: <lit-ideas@xxxxxxxxxxxxx> Sent: Sunday, December 19, 2004 1:25 AM Subject: [lit-ideas] Re: Imagination and maths [and maybe more.....] > > Le 18 d=E9c. 04, =E0 20:03, Peter D. Junger a =E9crit : > >> >> : >> : However, I'm not sure how quantum physics 'quarrels' with the law of=20= > >> the >> : excluded middle. >> >> I suspect that the reference is to the example of Schroedinger's Cat, >> which is in a middle state where it cannot be said to be either alive >> or dead. > > M.C. Yes, although quantum entanglement or superposition is of course=20 > not restricted to cats. "According to quantum mechanics", writes Brian=20= > > Greene in The fabric of the cosmos (p. 82), "a particle can hang in a=20 > state of limbo between having one or another particular quality". In=20 > fact, particles exist in the form of a probability wave, which does not=20= > > "collapse" into an object with distinct properties until it is=20 > measured. "When they are not being observed or interacting with the=20 > environment, particle properties have a nebulous, fuzzy existence=20 > characterized solely by a probability that one or another potentiality=20= > > might be realized" (p. 121). > > > I'm sure Robert is aware of Hilary Putnam's work on quantum = > logic,=20 > which dates from the 1960's. In "Is logic empirical?" in R. Cohen and=20 > M. P. Wartofski (eds.), Boston Studies in the Philosophy of Science 5=20 > (Dordrecht, Holland: D. Reidel, 1968). Reprinted as "The logic of=20 > quantum mechanics" in H. Putnam, Mathematics, Matter and Method,=20 > Cambridge University Press (1976) he writes inter alia=A0: " =93Logic is = > as=20 > empirical as geometry. =85 We live in a world with a non-classical=20 > logic.=94 > > >> >> > Michael Chase > (goya@xxxxxxxxxxx) > CNRS UPR 76 > 7, rue Guy Moquet > Villejuif 94801 > France > > ------------------------------------------------------------------ > To change your Lit-Ideas settings (subscribe/unsub, vacation on/off, > digest on/off), visit www.andreas.com/faq-lit-ideas.html > > ------------------------------------------------------------------ To change your Lit-Ideas settings (subscribe/unsub, vacation on/off, digest on/off), visit www.andreas.com/faq-lit-ideas.html

**References**:**[lit-ideas] Re: Imagination and maths [and maybe more.....]***From:*Peter D. Junger

**[lit-ideas] Re: Imagination and maths [and maybe more.....]***From:*Michael Chase

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