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One day he was explaining a relation to me; then he suddenly turned round and said, "Sir, an equation has no meaning for me unless it expresses a thought of GOD."
--
Shiyali Ramamrita Ranganathan: Ramanujan, the Man and the Mathematician (1967), p. 88

 

Srinivasa Ramanujan

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[Messrs Ogden and Richards] will reply that they are considering the meaning of a "thought," not of a word. A "thought" is not a social phenomenon, like speech, and therefore does not have the two sides, active and passive, which can be distinguished in speech. I should urge, however, that all the reasons which led our authors to avoid introducing images in explaining meaning should have also led them to avoid introducing "thoughts." If a theory of meaning is to be fitted into natural science as they desire, it is necessary to define the meaning of words without introducing anything "mental" in the sense in which what is "mental" is not subject to the laws of physics. Therefore, for the same reasons for which I now hold that the meaning of words should be explained without introducing images — which I argued to be possible in the above-quoted passage — I also hold that meaning in general should be treated without introducing "thoughts," and should be regarded as a property of words considered as physical phenomena. Let us therefore amend their theory. They say: "'I am thinking of A' is the same thing as 'My thought is being caused by A.'" Let us substitute: "'I am speaking of A' is the same thing as 'My speech is being caused by A.'" Can this theory be true?

 

Bertrand Russell

 

I went round to all these minority sports and I couldn't really appreciate them. Fencing, for example, is just "click, click, click" and it is over. Then they retire. Then they go again "On guard — click, click, click" and it is over again. You just think, "what is this sport?" I thought this is really boring and then I went to Judo and it was just the same thing. These two guys just endlessly circling each other, acting as if what they are trying to do is take the others shirt off without him realising this is what they are trying to do. I just thought "what is this? I don't understand this at all". Then I went to table tennis, which obviously I could identify with because I had played it myself — not quite at Olympic standard — but I could understand it. It suddenly became clear to me that these people really are so far beyond anything I could ever dream of becoming. I felt really terrible because I hadn't appreciated the fencers. The reason I couldn't follow them was because they were so damn good. Their hands were so quick that I couldn't see what was going on.

 

Bill Bryson

 

One of the most frequently mentioned equations was Euler's equation, Respondents called it "the most profound mathematical statement ever written"; "uncanny and sublime"; "filled with cosmic beauty"; and "mind-blowing". Another asked: "What could be more mystical than an imaginary number interacting with real numbers to produce nothing?" The equation contains nine basic concepts of mathematics — once and only once — in a single expression. These are: e (the base of natural logarithms); the exponent operation; ?; plus (or minus, depending on how you write it); multiplication; imaginary numbers; equals; one; and zero.

 

Leonhard Euler

 

The primary meaning of the words "modern," "modernity," with which recent times have baptised themselves, brings out very sharply that feeling of "the height of time" which I am at present analysing. "Modern" is what is "in the fashion, "that is to say, the new fashion or modification which has arisen over against the old traditional fashions used in the past. The word "modern" then expresses a consciousness of a new life, superior to the old one, and at the same time an imperative call to be at the height of one's time. For the "modern" man, not to be "modern" means to fall below the historic level.

 

Jose Ortega y Gasset

 

Today's scientists have substituted mathematics for experiments, and they wander off through equation after equation, and eventually build a structure which has no relation to reality.

 

Nikola Tesla