“The bewildered novice in chess moves cautiously, recalling individual rules, whereas the experienced player absorbs a complicated situation at a glance and is unable to account rationally for his intuition. In like manner mathematical intuition grows with experience, and it is possible to develop a natural feeling for concepts such as four dimensional space.”

—  William Feller

Introduction, The Nature of Probability Theory, p. 2.
An Introduction To Probability Theory And Its Applications (Third Edition)

Adopted from Wikiquote. Last update June 3, 2021. History

Help us to complete the source, original and additional information

Do you have more details about the quote "The bewildered novice in chess moves cautiously, recalling individual rules, whereas the experienced player absorbs a c…" by William Feller?
William Feller photo
William Feller30
Croatian-American mathematician 1906–1970

Related quotes

“The philosophy of the foundations of probability must be divorced from mathematics and statistics, exactly as the discussion of our intuitive space concept is now divorced from geometry.”

William Feller (1906–1970) Croatian-American mathematician

Introduction, The Nature of Probability Theory, p. 3.
An Introduction To Probability Theory And Its Applications (Third Edition)

Clifford D. Simak photo

“It would be three-dimensional chess with a million billion squares and a million pieces, and with the rules changing ever move.”

Clifford D. Simak book Time and Again

Source: Time and Again (1951), Chapter XXV (p. 135)

Eugene J. Martin photo

“Just as feelings grow out of ignorance, intuition should grow out of knowledge.”

Eugene J. Martin (1938–2005) American artist

Annotated Drawings by Eugene J. Martin: 1977-1978

“The experienced and skilled observer does not have perceptual experiences identical to those of the untrained novice when the two confront the same situation.”

Alan Chalmers book What Is This Thing Called Science?

Source: What Is This Thing Called Science? (Third Edition; 1999), Chapter 1, Science as knowledge derived form the facts of experience, p. 8.

Henri Poincaré photo

“The principal aim of mathematical education is to develop certain faculties of the mind, and among these intuition is not the least precious.”

Henri Poincaré book Science and Method

Part II. Ch. 2 : Mathematical Definitions and Education, p. 128
Variant translation: The chief aim of mathematics teaching is to develop certain faculties of the mind, and among these intuition is by no means the least valuable.
Science and Method (1908)
Context: The principal aim of mathematical education is to develop certain faculties of the mind, and among these intuition is not the least precious. It is through it that the mathematical world remains in touch with the real world, and even if pure mathematics could do without it, we should still have to have recourse to it to fill up the gulf that separates the symbol from reality.

“Game theory is a theory of strategic interaction. That is to say, it is a theory of rational behavior in social situations in which each player has to choose his moves on the basis of what he thinks the other players’ countermoves are likely to be.”

John Harsanyi (1920–2000) hungarian economist

Source: "Games with Incomplete Information," 1997, p. 136

Immanuel Kant photo

“The concept of space, therefore, is a pure intuition, being a singular concept, not made up by sensations, but itself the fundamental form of all external sensation.”

Immanuel Kant (1724–1804) German philosopher

Kant's Inaugural Dissertation (1770), Section III On The Principles Of The Form Of The Sensible World

Sarvepalli Radhakrishnan photo

“Religious intuition is a unique form of experience. Religious intuition is more than simply the confluence of the cognitive, aesthetic, and ethical sides of life. However vital and significant these sides of life may be, they are but partial and fragmented constituents of a greater whole, a whole which is experienced in its fullness and immediacy in religious intuition.”

Sarvepalli Radhakrishnan (1888–1975) Indian philosopher and statesman who was the first Vice President and the second President of India

Internet Encyclopedia of Philosophy

“What is reality? What is space? And what is time? These are the three questions that we want to investigate taking into account the knowledge that we have gained by modern physics. Our intuitive prescientific conception of the world in relation with these three concepts is not very precise but could be summarised as follows.
- Reality is everything that exists now in the present. The past has been real but is not anymore and the future is what shall become real but is not yet.
- Space is the theatre where reality is in. It englobes all of reality.
Till the birth of relativity theory all physical theories where compatible with this intuitive scheme. But when relativity theory entered the scene, these intuitive conceptions of space and time, and what is less recognised even till today, also the conception of reality, has got into problems.”

Diederik Aerts (1953) Belgian theoretical physicist

Diederik Aerts (2001) " Time, space and reality : an analysis from physics. http://www.vub.ac.be/CLEA/aerts/publications/2001TimeSpaceReality.pdf"

Emanuel Tov photo

“To a large extent textual evaluation cannot be bound by any fixed rules. It is an art in the full sense of the word, a faculty which can be developed, guided by intuition based on wide experience.”

Emanuel Tov (1941) Israeli biblical scholar and linguist

The Text-Critical Use of the Septuagint, 2nd ed. (1997), p.232

Related topics