Mathematica Quotes

In the timeless and universal manner of authors conversing in public places, he did not fail to mention its title, Volume III of Principia Mathematica entitled, The System of the World, available shortly, where books are sold. ~ Neal Stephenson

In music, musicians must be able to read musical notes and have developed the skill to follow the music from their studies. This skill allows them to read new musical notes and be capable of hearing most or all of the sounds (melodies, harmonies, etc.) in their head without having to play the music piece. By analogy, in Mathematics, we believe a scientist, engineer or mathematician must be able to read and understand mathematical codes (e.g., Maple, Mathematica) in their head without having to execute the problem. ~ Inna K. Shingareva

I am delighted to know that Principia Mathematica can now be done by machinery ... I am quite willing to believe that anything in deductive logic can be done by machinery. ~ Bertrand Russell

No matter how old you are now. You are never too young or too old for success or going after what you want. Here's a short list of people who accomplished great things at different ages
1) Helen Keller, at the age of 19 months, became deaf and blind. But that didn't stop her. She was the first deaf and blind person to earn a Bachelor of Arts degree.
2) Mozart was already competent on keyboard and violin; he composed from the age of 5.
3) Shirley Temple was 6 when she became a movie star on "Bright Eyes."
4) Anne Frank was 12 when she wrote the diary of Anne Frank.
5) Magnus Carlsen became a chess Grandmaster at the age of 13.
6) Nadia Comăneci was a gymnast from Romania that scored seven perfect 10.0 and won three gold medals at the Olympics at age 14.
7) Tenzin Gyatso was formally recognized as the 14th Dalai Lama in November 1950, at the age of 15.
8) Pele, a soccer superstar, was 17 years old when he won the world cup in 1958 with Brazil.
9) Elvis was a superstar by age 19.
10) John Lennon was 20 years and Paul Mcartney was 18 when the Beatles had their first concert in 1961.
11) Jesse Owens was 22 when he won 4 gold medals in Berlin 1936.
12) Beethoven was a piano virtuoso by age 23
13) Issac Newton wrote Philosophiae Naturalis Principia Mathematica at age 24
14) Roger Bannister was 25 when he broke the 4 minute mile record
15) Albert Einstein was 26 when he wrote the theory of relativity
16) ~ Pablo

He [Russell] said once, after some contact with the Chinese language, that he was horrified to find that the language of Principia Mathematica was an Indo-European one. ~ J.E. Littlewood

Godel showed how a statement about any mathematical formal system (such as the assertion that Principia Mathematica is contradiction-free) can be translated into a mathematical statement inside number theory (the study of whole numbers). In other words, any metamathematical statement can be imported into mathematics, and in its new guise the statement simply asserts (as do all statements of number theory) that certain whole numbers have certain properties or relationships to each other. But on another level, it also has a vastly different meaning that, on its surface, seems as far removed from a statement of number theory as would be a sentence in a Dostoevsky novel. ~ Douglas R. Hofstadter

Mathematically speaking, the probable (that in 6,000,000,000 throws with a regular six-sided die the die will come up proximately 1 ,000,000,000 times) and the improbable (that in six throws with the same die the one will come approximately up six times) are not different in kind, but only in frequency, whereby the more frequent appears a priori more probable.
But the occasional occurrence of the improbable does not imply the intervention of a higher power, something in the nature of a miracle, as the layman is so ready to assume. The term "probability" includes improbability at the extreme limits of probability, and when the improbable does occur this is no cause for surprise, bewilderment or mystification.
Cf. Ernst Mally's Probability and Law, Hans Reichenbach The theory Probability, Whitehead and Russell's Principia Mathematica, von Mises' Probability, Statistics and Truth ~ Max Frisch

One of the ideas of this book is to give the reader a possibility to develop
problem-solving skills using both systems, to solve various nonlinear
PDEs in both systems. To achieve equal results in both systems, it is not sufficient simply "to translate" one code to another code. There are numerous examples, where there exists some predefined function in one system and does not exist in another. Therefore, to get equal results
in both systems, it is necessary to define new functions knowing the method or algorithm of calculation. ~ Inna K. Shingareva

Well it was not exactly a dissertation in logic, at least not the kind of logic you would find in Whitehead and Russell's Principia Mathematica for instance. It looked more like mathematics; no formalized language was used. ~ Alonzo Church

In the Principia Mathematica, Bertrand Russell and Alfred Whitehead attempted to give a rigorous foundation to mathematics using formal logic as their basis. They began with what they considered to be axioms, and used those to derive theorems of increasing complexity. By page 362, they had established enough to prove 1 + 1 = 2. ~ Ted Chiang

I wanted to figure out how long to cook things. I did some experiments and then wrote a program using Mathematica to model how heat is transferred through food. ~ Nathan Myhrvold

Well, the first thing to say is that we've worked hard to maintain compatibility, so that any program written with an earlier version of Mathematica can run without change in 3.0, and any notebook can be converted. ~ Stephen Wolfram

Stephen Wolfram is the creator of Mathematica and is widely regarded as the most important innovator in scientific and technical computing today. ~ Stephen Wolfram

But at last I came to understand that I was making it too complicated. For you, this is no mingling at all; for you the Book of Revelation, the ramblings of Hermes Trismegistus, and Principia Mathematica are all signatures torn from the same immense Book. ~ Neal Stephenson