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1. RSVP yes or no? |
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When you reply, you reduce my
uncertainty by 1/2, requires only 1 bit to achieve—the minimal amount of
information |
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2. A 32 icon language. |
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When the destination receives/selects
one, the uncertainty is reduced by 31/32, requires 5 bits (log322=5),
five times as much information as the RSVP.
So, selecting (or giving a command) a single character/icon in a 32
language reduces uncertainty (provides more information) than selecting a
character in a 2 character language. |
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Assumes independence of each ‘choice’ |
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For more typical settings, conditional
probability arises (e.g., if the receiver has received a ‘Q’ in and English
word message, the next letter carries 0 information since it does not reduce
any uncertainty (we are sure it will be an ‘U.’ This gives rise to coding theory. |
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Suggests that Shannon’s work inspired
Chomsky and others to look for semantics in structure (syntax), which in turn
inspired psychologists (e.g., Miller) and we might extend to say initiated
the cognitive sciences and the debates about whether meaning is constructed
by the receiver (context bound) or inherent in the message. |
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Pierce: Communication is a process of
adjusting understandings and attitudes, of making them congruent or
ascertaining how and where they agree or disagree. Common language is NOT as important as a
common interest. However, perfect
common interest (knowledge) makes communication impossible (no information
can exchange)—we need to be surprised within our context ala Shannon. |
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This debate is related to arguments
about relevance and indexing that are central to information science. |
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We aim to balance order and
randomness/novelty. Can we data mine
the order that escapes us (through biometrics or transaction logging)? What are implications for information design
and services? |