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Logic is quite simply a set of rules that we quite naturally use as humans. This is largely because MOST of the things that we encounter in our experience fit with these rules well. One of the more basic rules is that something either is in a boundary or outside of it...if we do not allow for "gray" areas. So a fox is not a dog but a Great Dane is. Why is not important here. What is important is that someone (we hope a biologically-expert authority) has sanctioned this "class distinction" and we can then all trust it.

Logic (and countability) depend on tacit agreement on such class distinctions. Computer programmers -- at least until very recent advances in parallel-processing, and what I and others sometiomes refer to as hyper-logical systems -- depend on this kind of agreement to write effective programmers. This is tied inextricably to the binary system and digital systems. A transistor is only allowed to be in one of two "states": ON or OFF, 1 or 0, + or -. These are the only allowed states for a memory address, and hence for any of the operations that can be executed on that (portion) of a byte. Thus, every operation in logic has its corollary in digital computing, and vice versa. Because processors are able to do these operations so quickly (billions persecond) and reliably, they are incredible logical machines...nearly infallable.

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Q: How Logic and Computers go Together anyone please?
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