Ecstasy of mathematics

https://researcher.watson.ibm.com/researcher/files/us-bbfinkel/john_backus_memorial.pdf

researcher.watson.ibm.com

"'Man has within a single generation sharing the world with a strange new species:
the computers and computer-like machines...

Though only some of us deal directly with computers,
all of us are falling under the shadow of their ever-growing sphere of influence, and
thus
we all need to understand their capabilities and their limitations."

"Literature intersects with mathematical thought, fostering both understanding and innovation."‘

बेबीलोनिया और मिस्र से लेकर बीसवीं सदी तक गणित में हुई प्रमुख रचनाओं और विकास - ‘life of mathematics’.
(‘Mathematics is a part of logic’)
’s theorem

Can you do Addition?’ the White Queen asked.

‘What’s one and one and one and one and one and
one and one and one and one and one?’

‘I don’t know,’ said Alice. ‘I lost count.’

~(Lewis Carroll -
Through the Looking Glass)
Illustrates a common mathematical principle :
the accumulation of repeated addition,
or
counting. Alice's confusion after numerous iterations of "one and one" reflects the cognitive load and potential for error in manual counting without systematic methods.

The importance of algorithm efficiency and error minimization in computations.

How engaging narratives can help in teaching fundamental concepts by making abstract ideas more relatable.

Lewis Carroll’s narrative encapsulates a core mathematical concept

—repeated addition—
and
provides a platform for discussing broader implications in computational methods and strategies.
How literature can intersect with mathematical thought,
fostering both understanding and innovation.

Algorithm Efficiency: "The importance of algorithm efficiency and error minimization in computations is underscored."

Urbanomic Mathematical Thought In this record of a 1939 meeting, two great philosophers of mathematics, Jean Cavaillès and Albert Lautman, attempt to define what constitutes the ‘life of mathematics’, between historical contingency and internal necessity, describe their respective projects, which attempt to think mathematics...

... the usefulness and limitation of mathematical statistics;
the importance of having methods of statistical analysis that are robust to violations of the assumptions underlying their use;
the need to amass experience of the behaviour of specific methods of analysis in order to provide guidance on their use; the importance of allowing the possibility of data's influencing the choice of method by which they are analysed;
the need for statisticians to reject the role of "guardian of proven truth",
and
to resist attempts to provide once-for-all solutions and tidy over-unifications of the subject;
the iterative nature of data analysis;
implications of the increasing power,
availability,
and
cheapness of computing facilities;
the training of statisticians.
A. D. Gordon ( summary of Tukey's principles for statistical practice )
https://mathshistory.st-andrews.ac.uk/Biographies/Tukey/
https://en.wikipedia.org/wiki/John_Tukey
https://en.wikipedia.org/wiki/A._D._Gordon

A. D. Gordon - Wikipedia Aaron David Gordon (Hebrew: אהרן דוד גורדון; 9 June 1856 – 22 February 1922), more commonly known as A. D. Gordon, was a Labour Zionist thinker and the spiritual force behind practical Zionism and Labor Zionism. He founded Hapoel Hatzair, a movement that set the tone for the Zionist m...

Missing Data - Abstract - Europe PMC Missing Data

“A problem worthy of attack, proves its worth by fighting back!” – Paul Erdos.
One of the greatest mathematicians of the 20th Century, Paul Erdos, is often associated with the following rhyme:
“A problem worthy of attack, proves its worth by fighting back!”

The famous line of Plato?
“The first and greatest victory is to conquer yourself;
to be conquered by yourself is of all things most shameful and vile.”

ACM Books - Article/Chapter View chapter Free AccessPreface Share on Author: John Cullinane Northeastern University; Mossavar-Rahmani Center for Business and Government, John F. Kennedy School of Government, Harvard University Northeastern University; Mossavar-Rahmani Center for Business and Government, John F. Kennedy School of Go...

Mathematics as a Team Sport When 50 mathematicians spend a week in the woods, there’s no telling what will happen. And that’s the point.

How Alan Turing Cracked The Enigma Code Until the release of the Oscar-nominated film The Imitation Game in 2014, the name ‘Alan Turing’ was not very widely known. But Turing’s work during the Second World War was so crucial that Winston Churchill acknowledged his role, saying that Turing made the single biggest contribution to Alli...