id: 06426596
dt: j
an: 2015c.00552
au: Lande, Daniel R.
ti: Development of the binary number system and the foundations of computer
science.
so: Math. Enthus. 11, No. 3, 513-540 (2014).
py: 2014
pu: Information Age Publishing (IAP), Charlotte, NC; University of Montana,
Department of Mathematical Sciences, Missoula, MT
la: EN
cc: F30 A30 P20 E30
ut: history of mathematics; history of computer science; binary system;
Gottfried Leibniz; mathematical logic; calculating machines; computers;
number representations; place value; I Ching; mathematics and
philosophy; hexagrams; trigrams; binary arithmetic; counting; Boolean
logic; formal logic; computation
ci:
li: http://www.math.umt.edu/tmme/vol11no3/Lande_5.pdf
ab: Summary: This paper discusses the formalization of the binary number system
and the groundwork that was laid for the future of digital circuitry,
computers, and the field of computer science. The goal of this paper is
to show how Gottfried Leibniz formalized the binary number system and
solidified his thoughts through an analysis of the Chinese I Ching. In
addition, Leibniz’s work in logic and with computing machines is
presented. This work laid the foundation for Boolean algebra and
digital circuitry which was continued by George Boole, Augustus De
Morgan, and Claude Shannon in the centuries following. Some have coined
Leibniz the world’s first computer scientist, and this paper will
attempt to demonstrate a validation of this conjecture.
rv: