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19 February 2022

David Perkins - Collected Quotes

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"A function acts like a set of rules for turning some numbers into others, a machine with parts that we can manipulate to accomplish an...
14 February 2022

Johann I Bernoulli - Collected Quotes

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"A quantity diminished or enlarged by an infinitely smaller quantity is neither diminished nor enlarged." (Johann Bernoulli, cca 1...
13 February 2022

On Research (-1899)

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"Nothing proves more clearly that the mind seeks truth, and nothing reflects more glory upon it, than the delight it takes, sometimes i...

On Research (2000-2019)

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"Statisticians can calculate the probability that such random samples represent the population; this is usually expressed in terms of s...

On Research (1950-1999)

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"The hypothesis is the principal intellectual instrument in research. Its function is to indicate new experiments and observations and ...

On Research (1900-1949)

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"Scientific facts are of little value in themselves. Their significance is their bearing upon other facts, enabling us to generalize an...
10 February 2022

On Structure: Structure in Mathematics I

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"[…] the major mathematical research acquires an organization and orientation similar to the poetical function which, adjusting by mean...
09 February 2022

On Structure: Structure in Knowledge (2000-2009)

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"[...] information feedback about the real world not only alters our decisions within the context of existing frames and decision rules...

On Structure: Structure in Knowledge (1990-1999)

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"A mental model is a knowledge structure that incorporates both declarative knowledge (e.g., device models) and procedural knowledge (e...

On Structure: Structure in Knowledge (1980-1989)

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"A schema, then is a data structure for representing the generic concepts stored in memory. There are schemata representing our knowled...