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In essence, to reason is to deduce new pieces of knowledge from old ones. A simple example is the old chestnut from introductory logic: if you know that Socrates is a man and all men are mortal, you can figure out that Socrates is mortal. But how could a hunk of matter like brain accomplish this feat? The first key idea is a ‘representation’: a physical object whose parts and arrangement correspond piece for piece to some set of ideas or facts. For example the pattern of in on this page
_ _ _ _ _ _ _ _ _ _ _ _ _ _
Socrates isa man
_ _ _ _ _ _ _ _ _ _ _ _ _ _
is a representation of the idea that Socrates is a man. the shape of one group of ink marks, Socrates, is a symbol that stands for the concept of Socrates. The shape of another set of ink marks, isa, stands for the concept of being an instance of, and the shape of third, man, stands for the concept of man. Now, it is crucial to keep one thing in mind. I have put these ink marks in the shape of English words as a courtesy to you, the reader,
so that you can keep them straight as we work through the example. But all that really matters is that they have different shapes. I could have used a star of David, a smiley face, and the Mercedes Benz logo, as long as I used them consistently.
Keeping these conventions in mind, now imagine that the page has a second west of ink marks, representing the proportion that every man is mortal:
__ _ _ _ _ _ _ _ _ _ _ _
Socrates isa man
Every man ismortal
_ _ _ _ _ _ _ _ _ _ _ _ _
To get reasoning to happen, we now need a ‘processor’. A processor is not a little man (so one needn’t worry about an infinite regression of homunculi inside homunculi) but something much stupider; a gadget with a fixed number of reflexes. A processor can react to different pieces of a representation and so something in response, including altering the representation or making a new ones. For example, imagine a machine that can move around on a printed page. It has a cutout in a shape of the letter sequence isa, and a light sensor that can tell when the cutout is superimposed on a set of ink marks as the exact shape of the cutout. The sensor is hooked up to a little pocket copies, which can duplicate any set of ink marks, either by printing identical ink marks somewhere else on the page or by burning them into a new cutout.
_ _ _ _ _ _ _ _ _ _ _ _ _ _
Socrates isa man
Everyman ismortal
Socrates
_ _ _ _ _ _ _ _ _ _ _ _ _ _
In second reflex, also in response to finding an isa, is to get itself to the right of that isa and copy any ink marks it finds there into the holes of a new cutout. In our case, this forces the processor to make a cutout in the shape of man. its third reflex is to scan down the page checking for ink marks shaped like Every, and if it finds some, seeing if the ink marks to the right align with its new cutout. In our example, it finds one: the man in the middle of the second line. Its fourth reflex, upon finding such a match, is to move to the right and copy the ink marks it finds there onto the bottom center of the page. In our example, those are the ink marks ismortal. If you are following me, you’ll see tht our page now looks like this:
_ _ _ _ _ _ _ _ _ _ _ _ _ _
Socrates isa man
Every man ismortal
Socrates ismortal
_ _ _ _ _ _ _ _ _ _ _ _ _ _
A primitive kind of reasoning has taken place. Crucially, although the gadget and the page it sits on collectively display is a kind of intelligence, there is nothing in either of them that is itself intelligent. Gadgets and page are just a bunch of ink marks, cutouts, photocells, lasers, and wires. With marks the whole device smart is the exact correspondence between the logicians rule “If X is a Y and all Y’s are Z, then X is Z” and the way the device scans, moves, and prints. Logically speaking, “X is Y” means that wht is true of Y is also true of X, and mechanically speaking, X isa Y causes what is printed next to the Y to be also printed next to X. the machine, blindly following the laws of physics, just responds to the shape of the ink marks isa (without understanding what it means to us) and copies other ink marks in a way that ends up mimicking the operation of the logical rule. What makes it “intelligent” is that the sequence of sensing and moving and copying results in its printing a representation of a conclusion that is true if and only if the page contains representation of premises that are true. If one gives the devices much paper as it needs, Turing showed, the machine can do anything that any computer can do – and perhaps, the conjectured, anything that any physically embodied mind can do. (Pages 75 to 77)
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