There is no such thing as an uncoded message, only a message written in a more familiar code. The anteater is on good terms with the ant colonies, just not specific ants, since he eats ants, but doing so helps the colonies. This dialogue contains the poem âJabberwockyâ in three different languages, notable since the poem is mostly gibberish and so that gibberish canât translate all that well. Is the car truly speaking? Still rarer is a great book that expands not just human understanding but also human thought. Such as in the pair of statements âThe following sentence is false.â âThe preceding sentence is true.â. Then thereâs a genie who can grant wishes, but has to ask âup the chainâ if he can grant a meta wish. Thereâs a potential infinite trap: believing that you need a greater message to understand the included message, like needing a rule to understand the rule. Aunt Hillary is made up of ants, the individual ants donât have thoughts or intelligence but they combine to an intelligent system. This expands on the TNT explanations, bringing in more elements of logic and mathematics. In this canon, Achilles and the Tortoise are having a conversation in which theyâre interrupted by Crab, after which they repeat their statements in reverse order switching rules (basically, a conversational palindrome). Or you might attribute âsoundâ as a necessary element of a collision between two objects, but there would be no sound if they collided in a vacuum. Home > Highlights for High School > Humanities and Social Sciences > Gödel, Escher, Bach: A Mental Space Odyssey > Lecture Notes Lecture Notes Course Home Completeness: When all statements which are true (in some imaginable world), and which can be expressed as well-formed strings of the system, are theorems. These preludes derive from Bach’s music, as titles such as “Little Harmonic Labyrinth” and “SHRDLU, Toy... (The entire section contains 2989 words.). It is the fate of us as higher beings to have to strive for ism without ever being able to attain it fully. There are two challenges: one is to explain how the low-level traffic of neuron firings gives rise to the high-level traffic of symbol activation. It was, in fact, the equivalent for mathematics of Werner Heisenberg’s uncertainty principle, Albert Einstein’s general theory of relativity, and Max Planck’s discovery of quantum mechanics. Something went wrong while submitting the form. The male and female argument: âI can see your face which is something you canât doâ âBut I can see your face which you canât do!â âYes but youâre woman-seeing it, not really seeing itâ¦ what you women do and call âseeingâ is not what we men do.â. -1, +3, -1 and -3, +10, -3. The koan helps you âstep outâ and break the rules of thought youâre normally constrained by. Could we map part of one mind onto another one? One of the main theses of the book: every aspect of thinking can be viewed as a high-level description of a system which, on a low level, is governed by simple, even formal, rules. Or, they are self-swallowing, such as the set of all things that are no Joan of Arc. Self-Rep: Self reproducing object or entity. or planes? In the basic canon, the first voice enters, and after a period, the second voice enters at the same beginning as the first, layering on top of each other. Before each of the twenty chapters, Hofstadter also places a prelude that presents new concepts metaphorically, through imaginative dialogues and images, before he discusses them more rigorously and abstractly. Perhaps the mind can be understood without understanding the lower levels on which it both depends and does not depend. This is the dialogue where the crab can play mathematical statements as music, but they only sound good if theyâre true. But the ribosome doesnât know the genetic code, itâs contained in the DNA. Similarly in the game Go, the âtwo eyeâ rule isnât coded in the rules anywhere, itâs a consequence of the other rules. Bachâs endlessly rising canon gives the musical form of strange loopiness, continuing forever. On a low (machine language) level, the program looks like any other program, on a high (chunked) level, qualities such as âwill,â âintuition,â âcreativity,â and âconsciousnessâ can emerge. We all perceive systems at different levels, and may try to convince others that theyâre operating within systems that theyâre blind to but that we observe. The result was their monumental Principia Mathematica (1910-1913). Fission is where they gradually separate into multiple new symbols. When you see the pipe painting in the pipe painting, you think that the pipe thatâs a level âhigherâ is âmore real,â but thatâs absurd, theyâre equally fake since theyâre both in the painting youâre looking at. Do words and thoughts follow formal rules?
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