Population, when unchecked, increases in geometrical ratio. Subsistence
only increases in **arithmetical** ratio.

— 1798 An Essay on the Principle of Population.

The desire to economize time and mental effort in **arithmetical** computations, and to eliminate human liability to error is probably as old as the science of arithmetic itself.

— "Proposed Automatic Calculating Machine" (1937)

A precept claiming infallibility should certainly possess the universality of the law of gravitation and the perfection of the **arithmetical** table. If it fails to possess these undeviating qualities, its imperfection is self-evident and its value either greatly diminished or useless.

—

Population, when unchecked, increases in a geometrical ratio, Subsistence, increases only in an **arithmetical** ratio.

— Chapter I, paragraph 18, lines 1-2

Any one who considers **arithmetical** methods of producing random digits is, of course, in a state of sin. For, as has been pointed out several times, there is no such thing as a random number — there are only methods to produce random numbers, and a strict arithmetic procedure of course is not such a method.

— On mistaking pseudorandom number generators for being truly "random" — this quote is often erroneously interpreted to mean that von Neumann was against the use of pseudorandom numbers, when in reality he was cautioning about misunderstanding their true nature while advocating their use. From "Various techniques used in connection with random digits" by John von Neumann in

Some writers maintain arithmetic to be only the only sure guide in political economy; for my part, I see so many detestable systems built upon **arithmetical** statements, that I am rather inclined to regard that science as the instrument of national calamity.

— Book I, On Production, Chapter XVII, Section III, p. 188

Any one who considers **arithmetical** methods of producing random digits is, of course, in a state of sin.

— John von Neumann, "Various techniques used in connection with random digits" by John von Neumann in

Population, when unchecked, increases in a geometrical ratio, Subsistence, increases only in an **arithmetical** ratio.

— Chapter I, paragraph 18, lines 1-2 (An Essay on The Principle of Population (First Edition 1798, unrevised))

Population, when unchecked, increases in a geometrical ratio, Subsistence, increases only in an **arithmetical** ratio.

— Thomas Malthus (1798)

Any one who considers **arithmetical** methods of producing random digits is, of course, in a state of sin. For, as has been pointed out several times, there is no such thing as a random number there are only methods to produce random numbers, and a strict arithmetic procedure of course is not such a method.

— John von Neumann, "Various techniques used in connection with random digits" by John von Neumann in

Some writers maintain arithmetic to be only the only sure guide in political economy; for my part, I see so many detestable systems built upon **arithmetical** statements, that I am rather inclined to regard that science as the instrument of national calamity.

— Jean-Baptiste Say (1832)

The desire to economize time and mental effort in **arithmetical** computations, and to eliminate human liability to error is probably as old as the science of arithmetic itself.

— Howard H. Aiken (1937) "Proposed Automatic Calculating Machine"

Tantra is a very very poetic approach, not **arithmetical**. And tantra believes in love, not in mathematics. It believes in sudden enlightenment.

— Osho in P.125 (Tantra: The Supreme Understanding: Discourses on the Tantric Way of Tilopa's Song of Mahamudra)

Any one who considers **arithmetical** methods of producing random digits is, of course, in a state of sin.

— John von Neumann, "Various techniques used in connection with random digits" by John von Neumann in