A Quote by Ernest Nagel

Like Molière's M. Jourdain, who spoke prose all his life without knowing it, mathematicians have been reasoning for at least two millennia without being aware of all the principles underlying what they were doing. The real nature of the tools of their craft has become evident only within recent times A renaissance of logical studies in modern times begins with the publication in 1847 of George Boole's The Mathematical Analysis of Logic.

Ernest Nagel

Quote Topics

Analysis Aware Become Been Begins Being Craft Doing Evident George His Knowing Least Life Like Logic Logical Mathematical Mathematical Analysis Mathematicians Modern Modern Times Nature Only Principles Prose Publication Real Reasoning Recent Renaissance Spoke Studies Times Tools Two Underlying Were Within Without

Quote Author

Ernest Nagel
American - Philosopher
November 16, 1901 - September 20, 1985

As there are so many who talk prose without knowing it, or, again, who syllogize without having the least idea what a syllogism is, so economists have long been mathematicians without being aware of the fact.

William Stanley Jevons

We know that mathematicians care no more for logic than logicians for mathematics. The two eyes of science are mathematics and logic; the mathematical set puts out the logical eye, the logical set puts out the mathematical eye; each believing that it sees better with one eye than with two. Note that De Morgan, himself, only had sight with only one eye.

Augustus De Morgan

The baby looks at things all day without winking; that is because his eyes are not focused on any particular object. He goes without knowing where he is going, and stops without knowing what he is doing. He merges himself within the surroundings and moves along with it. These are the principles of mental hygiene.

Zhuangzi

[Kepler] had to realize clearly that logical-mathematical theoretizing, no matter how lucid, could not guarantee truth by itself; that the most beautiful logical theory means nothing in natural science without comparison with the exactest experience. Without this philosophic attitude, his work would not have been possible.

Albert Einstein

He was well aware that of the two of three thousand times he had made love (how many times had he made love in his life?) only two or three were really essential and unforgettable. The rest were mere echoes, imitations, repetitions, or reminiscences.

Milan Kundera

When you try to translate any kind of real-life problem into a neat logical form, you're almost always simplifying it. We need a kind of blend - we need to use not just tools of logic, which are important and valuable - I'm not denying that, but also tools of judgement, and of inductive and abductive reasoning which can also inform.

Julian Baggini

Geometry is beautifully logical, and it teaches you how to think and prove that things are so, step by step by step. Proofs are excellent lessons in reasoning. Without logic and reasoning, you are dependent on jumping to conclusions or - worse - having empty opinions.

Marilyn vos Savant

Mathematicians have sought knowledge in figures, Philosophers in systems, Logicians in subtleties, and Metaphysicians in sounds. It is not in any nor in all of these. He that studies only men, will get the body of knowledge without the soul, and he that studies only books, the soul without the body.

Charles Caleb Colton

The sweetest things in life were not necessarily what one strove for and grabbed. Instead, many many times the All-Merciful, the All-Generous would give His servants without being petitioned, without waiting to be asked.

Leila Aboulela

You must be respectful and assenting, but without being servile and abject. You must be frank, but without indiscretion, and close, without being costive. You must keep up dignity of character, without the least pride of birth, or rank. You must be gay, within all the bounds of decency and respect; and grave, without the affectation of wisdom, which does not become the age of twenty. You must be essentially secret, without being dark and mysterious. You must be firm, and even bold, but with great seeming modesty.

Lord Chesterfield

A person is alive only to the degree that he or she is aware. To make the most of life we must constantly strive to be aware of the importance of being aware. Be aware of your senses and use them: So often we are distracted and unconscious of the riches our senses can pour into our lives. We eat food without tasting it, listen to music without hearing it, smell without experiencing the pungency of odors and the delicacy of perfumes, touch without feeling the grain or texture, and see without appreciating the beauty around us.

Wilferd Peterson

As a science, logic institutes an analysis of the process of the mind in reasoning, and investigating the principles on which argumentation is conducted; as an art, it furnishes such rules as may be derived from those principles, for guarding against erroneous deductions.

Richard Whately

All nature has come to expect from God a sense of orderliness. Whatever God does carries with it His fingerprint. And in the world around us His fingerprint of orderliness is evident to anybody who is honest with the facts. If you look at nature, you will discover a mathematical exactness. Without this precision, the entire world would be in utter confusion. One plus one always equals two no matter what part of the universe you happen to be in. And the laws of nature operate in beautiful harmony, a harmony that is ordered by God Himself.

Aiden Wilson Tozer

We find sects and parties in most branches of science; and disputes which are carried on from age to age, without being brought to an issue. Sophistry has been more effectually excluded from mathematics and natural philosophy than from other sciences. In mathematics it had no place from the beginning; mathematicians having had the wisdom to define accurately the terms they use, and to lay down, as axioms, the first principles on which their reasoning is grounded. Accordingly, we find no parties among mathematicians, and hardly any disputes.

Thomas Reid

I think you get most of the most interesting work done in fields where people don't think they're doing art but are merely practicing a craft and working as good craftsmen. Being literate as a writer is good craft, is knowing your job, is knowing how to use your tools properly and not to damage the tools as you use them.

Douglas Adams

In every enterprise ... the mind is always reasoning, and, even when we seem to act without a motive, an instinctive logic still directs the mind. Only we are not aware of it, because we begin by reasoning before we know or say that we are reasoning, just as we begin by speaking before we observe that we are speaking, and just as we begin by seeing and hearing before we know what we see or what we hear.

Claude Bernard

A Quote by Ernest Nagel

Quote Topics

Quote Author

Related Quotes

Related Authors