Copperfox
Well-known member
Chapter Eleven: Daffodil's Dilemma
On the same day as Butterfly Gambino's coerced apology to Cecilia Salisbury's mother, another educational institution also had a visitor of some importance. Up in Boston, the Australian linguist Bert Randall visited the Tolerance House for that city. This was in fact the fourth Tolerance House he had visited since the day of his conversation with Nalani Hahona. Ambassador-At-Large Samantha Ford, whose inseparable companion Ms. Hahona was, had pulled the strings to arrange for Mr. Randall to present lectures on language learning to the children at six or more Tolerance Houses around the Diversity States. Streaming video of his presentations would be studied by diplomatic analysts in Washington, to help form a more detailed impression of the Australian's personality--since he was involved in the Pacific Federation's efforts to gain Diversity States approval for Hawaii to join the Federation.
Only today was he coming to the particular Tolerance House where Ambassador Ford's teenage son Daffodil resided in the position of being halfway a student and halfway a faculty member.
Bert's first presentation did not bring him into contact with Daffodil, since it was for students younger than those with whom Daffodil spent most of his time. But the content of the first lecture was not very much different from what the older students would be hearing next.
"Can anyone here tell me what binary numbers are?"
Every hand shot up at the same time, and all of the children answered their visitor by rote in exact unison: "The binary number system is built entirely on ones and zeroes, so that each number place means a power of two. One-zero is two, one-zero-zero is four, one-zero-zero-zero is eight, and so on. Binary numbers made electronic data processing possible, because the ones and zeroes would match the On and Off states of transistors, enabling desired computer functions and the data being processed to be expressed mathematically. Data bits are the same as binary number places, and bytes are groups of bits. The octal and hexadecimal number systems are condensed expressions of binary numbers, allowing more bits to be expressed in a printout of code."
This little reverse lecture, whose equivalent he had heard at the other Tolerance Houses, went on long enough that Bert was able to take in the way the teacher was watching the children. She was glancing from one to another in a way he had noticed from teachers at the other locations; he gathered that she was checking in case any child might fail to stay with the others perfectly in the recitation. And Bert himself determined, before the second sentence was done being parrotted, which student was most likely to falter: the youngest girl present, not older than six years, a shy-looking child.
Sure enough, near the end, she made a mistake, nervously mispronouncing "hexidecimal" as "dexihecimal." Providentially, the teacher's attention was on other children at that crucial moment, and the other children were too intent on reciting correctly themselves to notice the girl's error. So, cursing this whole establishment in his mind, Bert smoothly stepped up to the little one, to focus attention on her in a different way before the teacher's mind could register that a slight difference in sound had occurred.
Hunkering down to be on eye level with the timid little girl, Bert wanted to hug her tenderly and tell her that everything would be all right; but all he could do was try to MAKE things a little more all right for her. "Young citizen, since everyone's the same, I'm sure you can speak for all the students just as well as if all of them were speaking. Please tell me: which is a bigger number, one-zero-zero-one-one or one-one-zero-zero-zero?" He said it slowly, to let her think as he spoke...then held his breath. If she could just get this right, he hoped that the teacher would forget about inquiring into whether she had made a mistake in the parrot-routine. (She might not be punished for the mistake; what might happen instead would be that all the other students would be made somehow to come DOWN to her achievement level--but even this could cause discomfort for the girl.)
He resumed breathing when she replied confidently, "One-one-zero-zero-zero is bigger."
"Even though the other number had more ones in it?"
"Yes, because not counting the highest one in each number, the number I just said has a higher-placed one than the other one has."
Bert's eyes did the best they could to transmit to the child the hug that was in his mind for her. "That's right, young citizen. And you just proved that the whole collective understands binaries. Now I can tell you why I began with computer language to get into a talk about human language." He faded back to the front of the classroom before continuing:
"Binary states, On and Off, are a good clear way to see that you can't have ANY language if you can't tell one thing apart from another thing. If every bit was always in the On state, or always in the Off state, or if no one knew the difference between On and Off, then data could never be processed at all. It's the same way in speaking: for anyone to know what you're saying, you have to say things which tell one thing apart from another thing...."
From there, Bert went on to say various things about how grammar and syntax worked in English, Spanish and Chinese; but he had already scored his victory at the start. This idiotic school system could not shoot itself in the foot by denying that computer science depended absolutely on either-or categories. But having of necessity conceded this point, they could not (short of bodily violence) prevent him from showing that the same was true of human communication, and therefore also true of logic itself. He was thus tweaking the nose of their official everything's-the-same philosophy.
And for Bert Randall, this bit of benign sabotage was as important as anything else he was doing in America.
On the same day as Butterfly Gambino's coerced apology to Cecilia Salisbury's mother, another educational institution also had a visitor of some importance. Up in Boston, the Australian linguist Bert Randall visited the Tolerance House for that city. This was in fact the fourth Tolerance House he had visited since the day of his conversation with Nalani Hahona. Ambassador-At-Large Samantha Ford, whose inseparable companion Ms. Hahona was, had pulled the strings to arrange for Mr. Randall to present lectures on language learning to the children at six or more Tolerance Houses around the Diversity States. Streaming video of his presentations would be studied by diplomatic analysts in Washington, to help form a more detailed impression of the Australian's personality--since he was involved in the Pacific Federation's efforts to gain Diversity States approval for Hawaii to join the Federation.
Only today was he coming to the particular Tolerance House where Ambassador Ford's teenage son Daffodil resided in the position of being halfway a student and halfway a faculty member.
Bert's first presentation did not bring him into contact with Daffodil, since it was for students younger than those with whom Daffodil spent most of his time. But the content of the first lecture was not very much different from what the older students would be hearing next.
"Can anyone here tell me what binary numbers are?"
Every hand shot up at the same time, and all of the children answered their visitor by rote in exact unison: "The binary number system is built entirely on ones and zeroes, so that each number place means a power of two. One-zero is two, one-zero-zero is four, one-zero-zero-zero is eight, and so on. Binary numbers made electronic data processing possible, because the ones and zeroes would match the On and Off states of transistors, enabling desired computer functions and the data being processed to be expressed mathematically. Data bits are the same as binary number places, and bytes are groups of bits. The octal and hexadecimal number systems are condensed expressions of binary numbers, allowing more bits to be expressed in a printout of code."
This little reverse lecture, whose equivalent he had heard at the other Tolerance Houses, went on long enough that Bert was able to take in the way the teacher was watching the children. She was glancing from one to another in a way he had noticed from teachers at the other locations; he gathered that she was checking in case any child might fail to stay with the others perfectly in the recitation. And Bert himself determined, before the second sentence was done being parrotted, which student was most likely to falter: the youngest girl present, not older than six years, a shy-looking child.
Sure enough, near the end, she made a mistake, nervously mispronouncing "hexidecimal" as "dexihecimal." Providentially, the teacher's attention was on other children at that crucial moment, and the other children were too intent on reciting correctly themselves to notice the girl's error. So, cursing this whole establishment in his mind, Bert smoothly stepped up to the little one, to focus attention on her in a different way before the teacher's mind could register that a slight difference in sound had occurred.
Hunkering down to be on eye level with the timid little girl, Bert wanted to hug her tenderly and tell her that everything would be all right; but all he could do was try to MAKE things a little more all right for her. "Young citizen, since everyone's the same, I'm sure you can speak for all the students just as well as if all of them were speaking. Please tell me: which is a bigger number, one-zero-zero-one-one or one-one-zero-zero-zero?" He said it slowly, to let her think as he spoke...then held his breath. If she could just get this right, he hoped that the teacher would forget about inquiring into whether she had made a mistake in the parrot-routine. (She might not be punished for the mistake; what might happen instead would be that all the other students would be made somehow to come DOWN to her achievement level--but even this could cause discomfort for the girl.)
He resumed breathing when she replied confidently, "One-one-zero-zero-zero is bigger."
"Even though the other number had more ones in it?"
"Yes, because not counting the highest one in each number, the number I just said has a higher-placed one than the other one has."
Bert's eyes did the best they could to transmit to the child the hug that was in his mind for her. "That's right, young citizen. And you just proved that the whole collective understands binaries. Now I can tell you why I began with computer language to get into a talk about human language." He faded back to the front of the classroom before continuing:
"Binary states, On and Off, are a good clear way to see that you can't have ANY language if you can't tell one thing apart from another thing. If every bit was always in the On state, or always in the Off state, or if no one knew the difference between On and Off, then data could never be processed at all. It's the same way in speaking: for anyone to know what you're saying, you have to say things which tell one thing apart from another thing...."
From there, Bert went on to say various things about how grammar and syntax worked in English, Spanish and Chinese; but he had already scored his victory at the start. This idiotic school system could not shoot itself in the foot by denying that computer science depended absolutely on either-or categories. But having of necessity conceded this point, they could not (short of bodily violence) prevent him from showing that the same was true of human communication, and therefore also true of logic itself. He was thus tweaking the nose of their official everything's-the-same philosophy.
And for Bert Randall, this bit of benign sabotage was as important as anything else he was doing in America.