A Quote by Ada Lovelace

Secondly, figures, the symbols of numerical magnitude, are frequently also the symbols of operations, as when they are the indices of powers. Wherever terms have a shifting meaning, independent sets of considerations are liable to become complicated together, and reasoning and results are frequently falsified.

Ada Lovelace

Quote Topics

Also Become Complicated Figures Frequently Independent Liable Magnitude Meaning Numerical Operations Powers Reasoning Results Sets Shifting Symbols Terms Together Wherever

Quote Author

Ada Lovelace
English - Mathematician
December 10, 1815 - November 27, 1852

One main reason why the separate nature of the science of operations has been little felt, and in general little dwelt on, is the shifting meaning of many of the symbols used in mathematical notation. First, the symbols of operation are frequently also the symbols of the results of operations.

Ada Lovelace

It must be evident how multifarious and how mutually complicated are the considerations which the working of such an engine involve. There are frequently several distinct sets of effects going on simultaneously; all in a manner independent of each other, and yet to a greater or less degree exercising a mutual influence.

Ada Lovelace

Many persons who are not conversant with mathematical studies imagine that because the business of [Babbage’s Analytical Engine] is to give its results in numerical notation, the nature of its processes must consequently be arithmetical and numerical, rather than algebraical and analytical. This is an error. The engine can arrange and combine its numerical quantities exactly as if they were letters or any other general symbols; and in fact it might bring out its results in algebraical notation, were provisions made accordingly.

Ada Lovelace

The monogram of our national initials, which is the symbol for our monetary unit, the dollar, is almost as frequently conjoined to the figures of an engineer's calculations as are the symbols indicating feet, minutes, pounds, or gallons. ... This statement, while true in regard to the work of all engineers, applies particularly to that of the mechanical engineer.

Henry R. Towne

In studying the action of the Analytical Engine, we find that the peculiar and independent nature of the considerations which in all mathematical analysis belong to operations, as distinguished from the objects operated upon and from the results of the operations performed upon those objects, is very strikingly defined and separated.

Ada Lovelace

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

Nourishing spirituality means cultivating the inward space, the basis of which all things can be brought together. It means overwhelming deadness and stagnation and living reality in terms of values, inspiration, and symbols of higher meaning.

Leonardo Boff

Language, after all, is only the use of symbols, and Art also can only affect us through symbols.

George Henry Lewes

Men cannot be treated as units in operations of political arithmetic because they behave like the symbols for zero and the infinite , which dislocate all mathematical operations.

Arthur Koestler

Symbols are specific acts or figures, while myths develop and elaborate these symbols into a story which contains characters and several episodes. The myth is thus more inclusive. But both symbol and myth have the same function psychologically; they are man's way of expressing the quintessence of his experience - his way of seeing his life, his self-image and his relations to the world of his fellow men and of nature - in a total figure which at the same moment carries the vital meaning of this experience.

Rollo May

The twentieth-century artist who uses symbols is alienated because the system of symbols is a private one. After you have dealt with the symbols you are still private, you are still lonely, because you are not sure anyone will understand it except yourself. The ransom of privacy is that you are alone.

Louise Bourgeois

In abstract mathematics, of course operations alter those particular relations which are involved in the considerations of number and space, and the results of operations are those peculiar results which correspond to the nature of the subjects of operation.

Ada Lovelace

When you have a family, even though you might move a lot, you collect all of these things. It's the detritus of your family and they become the symbols of your family life, and your unit out in the world. In that moment I wanted to allude to the fact that the way my parents' relationship was falling apart was impacting me and my brother, my parents, but also our symbols.

Jesmyn Ward

We are not entirely sure of the meaning of all of the symbolic stones and their placement. Neither Joseph Smith nor Brigham Young said too much about these. Brigham Young said, “Figures (symbols) are reduced to reality, and realities are exhibited by figures, and those who have the Spirit and understand, derive great comfort and consolation from that source.