“During the renaissances in thinking led by Shakespeare and Goethe, the first new development in memory techniques for 1,700 years appeared: the Major System. This was the first system that enabled the user to transfer easily and instantaneously from numbers to letters, thus creating the opportunity for a system that could stretch from zero to an infinite number, and which allowed the user to translate any word into its own special number, and any number into its own special letter. This multiplied the opportunity for developing memory techniques 100-fold.”

— Tony Buzan

The Mind Map Book, Buzan and Buzan (1991)

Adopted from Wikiquote. Last update Sept. 14, 2021. History

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Tony Buzan 9

British psychologist 1942–2019

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“If a is any definite number, then all numbers of the system R fall into two classes, A1 and A2, each of which contains infinitely many individuals; the first class A1 comprises all numbers a1 that are < a, the second class A2 comprises all numbers a2 that are > a; the number a itself may be assigned at pleasure to the first or second class, being respectively the greatest number of the first class or the least of the second. In every case the separation of the system R into the two classes A1, A2 is such that every number of the first class A1 is less than every number of the second class A2.”

Richard Dedekind (1831–1916) German mathematician

p, 125
Stetigkeit und irrationale Zahlen (1872)

“As a square number is known to be the product of a number multiplied by itself, so every polygonal number, multiplied by one number and added to another, both of which depend upon the number of its angles, produces a square number. I shall prove this, and shall show also how from a given side to find its polygon and conversely. Some auxiliary propositions must first be proved.”

Diophantus Arithmetica

As quoted by James Gow, A Short History of Greek Mathematics https://books.google.com/books?id=9d8DAAAAMAAJ (1884)
Arithmetica (c. 250 AD)

“His work, called Aryabhatiya, is composed of three parts, in only the first of which use is made of a special notation of numbers. It is an alphabetical system in which the twenty-five consonants represent 1-25, respectively; other letters stand for 30, 40, …., 100 etc. The other mathematical parts of Aryabhatiya consists of rules without examples. Another alphabetic system prevailed in Southern India, the numbers 1-19 being designated by consonants, etc.”

Aryabhata (476–550) Indian mathematician-astronomer

Florian Cajori in: A History of Mathematical Notations http://books.google.co.in/books?id=_byqAAAAQBAJ&pg=PT961&dq=Notations&hl=en&sa=X&ei=Wz65U5WYDIKulAW1qIGYDA&ved=0CBwQ6AEwAA#v=onepage&q=Notation&f=false, Courier Dover Publications, 26 September 2013, p. 47.

“The Systems engineering method recognizes each system is an integrated whole even though composed of diverse, specialized structures and sub-functions. It further recognizes that any system has a number of objectives and that the balance between them may differ widely from system to system. The methods seek to optimize the overall system functions according to the weighted objectives and to achieve maximum compatibility of its parts.”

Harold Chestnut (1917–2001) American engineer

Source: Systems Engineering Tools, (1965), p. 8; Cited in: Peter Allen, Steve Maguire, Bill McKelvey (2011) The SAGE Handbook of Complexity and Management. p. 35

“1. Zero is a number.
2. The successor of any number is another number.
3. There are no two numbers with the same successor.
4. Zero is not the successor of a number.
5. Every property of zero, which belongs to the successor of every number with this property, belongs to all numbers.”

Giuseppe Peano (1858–1932) Italian mathematician

As expressed in "The Mathematical Philosophy of Giuseppe Peano" by Hubert C. Kennedy, in Philosophy of Science Vol. 30, No. 3 (July 1963)
Peano axioms

“A complex system can fail in an infinite number of ways”

John Gall (1925–2014) American physician

Source: General systemantics, an essay on how systems work, and especially how they fail..., 1975, p. 92, cited in: Erik Hollnagel (2004) Barriers and accident prevention. p. 182

“A second justification for corporate taxation is that the corporation receives a number of special privileges from society, the most important of which is limited liability of the stockholders. The corporation tax can be viewed as a user fee for this benefit.”

Harvey S. Rosen (1949) American economist

Source: Public Finance - International Edition - Sixth Edition, Chapter 17, The Corporation Tax, p. 399

“The process of formulating and structuring a system are important and creative, since they provide and organize the information, which each system. "establishes the number of objectives and the balance between them which will be optimized". Furthermore, they help identify and define the system parts. Furthermore, they help identify and define the system parts which make up its "diverse, specialized structures and subfunctions.”

Harold Chestnut (1917–2001) American engineer

Source: Systems Engineering Tools, (1965), Systems Engineering Methods (1967), p. 70; First sentences of Ch. 3. Formulating and Structuring the System
In this text Harold Chestnut is here citing:
C. West Churchman, Russell L. Ackoff, and E. Leonard Arnoff (1957) Introduction to Operations Research. Wiley. New York, and
J. Morley English (1964) "Understanding the Engineering Design Process." The Journal of Industrial Engineering, Nov-Dec. 1964 Vol 15 (6). p. 291-296

“Addition is the combination of any arbitrary repetitions of the above-mentioned simplest act into a single act; from it in a similar way arises multiplication. While the performance of these two operations is always possible, that of the inverse operations, subtraction and division, proves to be limited. Whatever the immediate occasion may have been, whatever comparisons or analogies with experience, or intuition, may have led thereto; it is certainly true that just this limitation in performing the indirect operations has in each case been the real motive for a new creative act; thus negative and fractional numbers have been created by the human mind; and in the system of all rational numbers there has been gained an instrument of infinitely greater perfection. This system, which I shall denote by R, possesses first of all a completeness and self-containedness which I have designated… as characteristic of a body of numbers [Zahlkőrper] and which consists in this, that the four fundamental operations are always performable with any two individuals in R, i. e., the result is always an individual of R, the single case of division by the number zero being excepted.”

Richard Dedekind (1831–1916) German mathematician

p, 125
Stetigkeit und irrationale Zahlen (1872)

“The architecture of a system can be defined as the functional appearance of the system to the user.”

Gerrit Blaauw (1924–2018) Dutch computer scientist

Blaauw (1972) cited in: Gerritt A Blaauw (1976) Digital system implementation. p. 6

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