Session 4 :: Between Renaissance and Age of Reason

31.12.1229 · AE-7411231
31.12.2018 · AE481231

Order of the day

Repetitio :: Between Antiquity and Rennaissance Narratio :: Wheat and chessboard legend Questio :: What is an algorithm ? Lectio :: Between renaissance and Age of R...
31.12.1255 · AE-7151231

Wheat and chessboard legend

"Oh emperor, my wishes are simple. I only wish for this. Give me one grain of rice for the first square of the chessboard, two grains for the next square, four for the next, ...
31.12.2018 · AE481231

Question of the day

What is an algorithm ?
31.12.1229 · AE-7411231

Origin of the word "algorithm"

algorithm (n.) ...
31.12.2018 · AE481231

Mariam-Webster dict. definition of an "algorithm"

a procedure for solving a mathematical problem in a finite number of steps that frequently involves repetition of an operation a step-by-step procedure for solving a prob...
31.12.1636 · AE-3341231

Rene Descartes (c. 1596 - 1650 A.D.)

polymath at 23-years of age, his dreams pose him in front of a question: Quod vitae sectabor iter? establishement of scientific method (based on "doubitatio") ...
31.12.1636 · AE-3341231

Mechanism

"I should like you to consider that these functions (including passion, memory, and imagination) follow from the mere arrangement of the machine’s organs every bit as natural...
31.12.1636 · AE-3341231

Cartesian coordinate system...

...makes computer graphics possible...and much, much more...
31.12.1641 · AE-3291231

Blaise Pascal (1623 - 1662)

polymath in 19years of age started to build first mechanical calculators ("Pascalines") ground-breaking works in mathematics (Pascal's triangle), geometry (Pasca...
31.12.2018 · AE481231

Pascaline (mechanical calculator)

30.12.1672 · AE-2981230

Gottfried W. Leibniz (c. 1646 c. 1716)

one of the last big polymaths advanced disciplines of philosophy (monadology, theodicea, why is there something rather than nothing?), mathematics (probability theory,...
30.12.1672 · AE-2981230

Stepped reckoner

"... it is beneath the dignity of excellent men to waste their time in calculation when any peasant could do the work just as accurately with the aid of a machine." (G.W.L, 1...
30.12.1672 · AE-2981230

Leibniz wheel

31.12.2018 · AE481231

Binary digits

Please read :: http://bildung.digital.udk-berlin.de/prolegomena/handouts/Leibniz.pdf from letter of Leibniz to Duke of Braunschweig (1697)
31.12.2018 · AE481231

Exercicio :: Binary counting