mathematics

A Quote by Walter Meyer on space exploration, astronauts, mathematics, science, and unknown

In a time when much of the world's geography has been explored, and space exploration is restricted to astronauts, mathematics offers fertile ground for exploring the unknown.

Walter Meyer

Source: Missing Dimensions of Mathematics

Contributed by: bajarbattu

A Quote by David Hilbert on mathematics, whole, indivisible, organism, and parts

Mathematical science is in my opinion an indivisible whole, an organism whose vitality is conditioned upon the connection of its parts.

David Hilbert (1862 - 1943)

Source: as quoted in Excursions in Calculus, by R.M. Young.

Contributed by: bajarbattu

A Quote by Bertrand Arthur William Russell on mathematics, philosophy, and beauty

Mathematics, rightly viewed, possesses not only truth, but supreme beauty - a beauty cold and austere, like that of sculpture, without appeal to any part of our weaker nature, without the gorgeous trappings of painting or music, yet sublimely pure, and capable of a stern perfection such as only the greatest art can show.

Bertrand Russell (1872 - 1970)

Source: "The Study of Mathematics", Mysticism and Logic: And Other Essays

Contributed by: Victoria

A Quote by Domus Ulixes on intuistionistic logic, mathematics, physical mathematics, and students of philosphy

What is the use of a philospher, if the object of his science is in a language he cannot speak?

Frederik Kerling

Source: What is wrong with modern philosphy studies

Contributed by: Domus Ulixes

A Quote by Raphie on mathematics, mind, heart, art, and creation

Mathematics is to the mind what the heart is to art. Without the latter there is no need for the former, but the former is the ladder to the latter. When the latter and the ladder come together, the former is the maker and the maker is the man... and the woman.

Both in equal parts.

Raphie Frank

Contributed by: Raphie

A Quote by David Berlinski on arithmetic, mathematics, content, logic, and certainty

Arithmetic is where the content lies, and not logic; but logic prompts certainty, and not arithmetic.

David Berlinski

Source: The Advent of the Algorithm: The 300-Year Journey from an Idea to the Computer, Pages: 81

Contributed by: Chris

A Quote by David Berlinski on axiom, mathematics, theorem, and confidence

An axiomatic system establishes a reverberating relationship between what a mathematician assumes (the axioms) and what he or she can derive (the theorems).  In the best of circumstances, the relationship is clear enough so that the mathematician can submit his or her reasoning to an informal checklist, passing from step to step with the easy confidence the steps are small enough so that he cannot be embarrassed nor she tripped up.

David Berlinski

Source: The Advent of the Algorithm: The 300-Year Journey from an Idea to the Computer, Pages: 49..50

Contributed by: Chris

A Quote by David Berlinski on axiom, mathematics, symbol, rules, and intuition

An axiomatic system comprises axioms and theorems and requires a certain amount of hand-eye coordination before it works.  A formal system comprises an explicit list of symbols, an explicit set of rules governing their cohabitation, an explicit list of axioms, and, above all, an explicit list of rules explicitly governing the steps that the mathematician may take in going from assumptions to conclusions.  No appeal to meaning nor to intuition.  Symbols lose their referential powers; inferences become mechanical.

David Berlinski

Source: The Advent of the Algorithm: The 300-Year Journey from an Idea to the Computer, Pages: 50

Contributed by: Chris

A Quote by David Berlinski on math and mathematics

For the most part, it is true, ordinary men and women regard mathematics with energetic distaste, counting its concepts as rhapsodic as cauliflower. This is a mistake--there is no other word. Where else can the restless human mind find means to tie the infinite in a finite bow?

David Berlinski

Source: The Advent of the Algorithm: The 300-Year Journey from an Idea to the Computer, Pages: 24

Contributed by: Chris

A Quote by G. I. Gurdjieff on helping others, nature, debt, mathematical, and mathematics

If you help others, you will be helped, perhaps tomorrow, perhaps in one hundred years, but you will be helped. Nature must pay off the debt. It is a mathematical law and all life is mathematics.

G. I. Gurdjieff

Contributed by: PiALOGUE

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