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Conventional wisdom, fooled by our misleading "physical intuition", is that the real world is continuous, and that discrete models are necessary evils for approximating the "real" world, due to the innate discreteness of the digital computer.
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"Real" Analysis is a Degenerate Case of Discrete Analysis. Appeared in the book "New Progress in Difference Equations"(Proc. ICDEA 2001), edited by Bernd Aulbach, Saber Elaydi, and Gerry Ladas, and publisher by Taylor & Francis, London, 2004.

 

Doron Zeilberger

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I just want to explain what I mean when I say that we should try to hold on to physical reality.
We are ... all aware of the situation regarding what will turn out to be the basic foundational concepts in physics: the point-mass or the particle is surely not among them; the field, in the Faraday-Maxwell sense, might be, but not with certainty. But that which we conceive as existing ("real") should somehow be localized in time and space. That is, the real in one part of space, A, should (in theory) somehow "exist" independently of that which is thought of as real in another part of space, B. If a physical system stretches over A and B, then what is present in B should somehow have an existence independent of what is present in A. What is actually present in B should thus not depend the type of measurement carried out in the part of space A; it should also be independent of whether or not a measurement is made in A.
If one adheres to this program, then one can hardly view the quantum-theoretical description as a complete representation of the physically real. If one attempts, nevertheless, so to view it, then one must assume that the physically real in B undergoes a sudden change because of a measurement in A. My physical instincts bristle at that suggestion.
However, if one renounces the assumption that what is present in different parts of space has an independent, real existence, then I don't see at all what physics is supposed to be describing. For what is thought to be a "system" is after all, just conventional, and I do not see how one is supposed to divide up the world objectively so that one can make statements about parts.

 

Albert Einstein

 

...the problem lies in Chomsky's description of Serb atrocities as "quite real" and "often ghastly". "Quite real ' is a cop-out for very real. Atrocities "sharply escalated" after Nato's bombardment, he says, but does not explain what these were: mass executions, rape, torture. The index refers to "atrocities" in Africa, Columbia, East Timor and Turkey without the appearance of "Serbia".

 

Noam Chomsky

 

"You want a pig," said Roger, "like in a real hunt."
"Or someone to pretend," said Jack. "You could get someone to dress up as a pig and then he could act — you know, pretend to knock me over and all that —"
"You want a real pig," said Robert, still caressing his rump, "because you've got to kill him."
"Use a littlun," said Jack, and everybody laughed.

 

William Golding

 

Science Fiction has long been babbling about cosmic destructions and the ending of either physical or civilized worlds, but it has all been displaced babble. SF has been carrying on about near-future or far-future destructions and its mind-set will not allow it to realize that the destruction of our world has already happened in the quite recent past, that today is "The Day After The World Ended". ... I am speaking literally about a real happening, the end of the world in which we lived till fairly recent years. The destruction or unstructuring of that world, which is still sometimes referred to as "Western Civilization" or "Modern Civilization", happened suddenly, some time in the half century between 1912 and 1962. That world, which was "The World" for a few centuries, is gone. Though it ended quite recently, the amnesia concerning its ending is general. Several historiographers have given the opinion that these amnesias are features common to all "ends of worlds". Nobody now remembers our late world very clearly, and nobody will ever remember it clearly in the natural order of things. It can't be recollected because recollection is one of the things it took with it when it went...

 

R. A. Lafferty

 

"I actually haven’t owned a television feed in two years, so I don’t even know what’s going on in the real world. I live in the digital age and I get the content I want to watch and stream it from the web. I don’t even have time to watch much TV, so it’s very difficult for me to stay up on all the TV shows..."

 

Klayton