**Mathematics** as an expression of the human mind reflects the active will, the contemplative reason, and the desire for aesthetic perfection. Its basic elements are logic and intuition, analysis and construction, generality and individuality. Though different traditions may emphasize different aspects, it is only the interplay of these antithetic forces and the struggle for their synthesis that constitute the life, usefulness, and supreme value of mathematical science.

The land of easy **Mathematics** where he who works adds up and he who retires subtracts.

The subject of management science has evolved for more than 60 years and is now a mature field within the broad category of applied **Mathematics**. This book will emphasize both the applied and mathematical aspects of management science.

I have often been surprised that **Mathematics**, the quintessence of Truth, should have found admirers so few and so languid. Frequent consideration and minute scrutiny have at length unravelled the cause: viz . that though Reason is feasted, Imagination is starved; whilst Reason is luxuriating in its proper Paradise, Imagination is wearily travelling on a dreary desert.

**Mathematics** is the language in which God wrote the universe.

Beauty isthe first test: there isno permanent place in the world for ugly
**Mathematics**.

You need only a sheet of paper and so **Mathematics** starts.

There are problems to whose solution I would attach an infinitely greater importance than to those of **Mathematics**, for example touching ethics, or our relation to God, or concerning our destiny and our future; but their solution lies wholly beyond us and completely outside the province of science.

Poetry is a sort of inspired **Mathematics**, which gives us equations, not for abstract figures, triangles, squares, and the like, but for the human emotions. If one has a mind which inclines to magic rather than science, one will prefer to speak of these equations as spells or incantations; it sounds more arcane, mysterious, recondite.

It seems to me now that **Mathematics** is capable of an artistic excellence as great as that of any music, perhaps greater; not because the pleasure it gives (although very pure) is comparable, either in intensity or in the number of people who feel it, to that of music, but because it gives in absolute perfection that combination, characteristic of great art, of godlike freedom, with the sense of inevitable destiny; because, in fact, it constructs an ideal world where everything is perfect and yet true.

It was, however, from Spain, and not from Arabia, that a knowledge of eastern **Mathematics** first came into western Europe. The Moors had established their rules in Spain in 747, and by the tenth or eleven century had attained a high degree of civilisation.

No one really knew the sciences except the Lord Robert, Bishop of Lincoln, by reason of his length of life and experience, as well as of his studiousness and zeal. He knew **Mathematics** and perspective, and there was nothing which he was unable to know; and at the same time he was sufficiently acquainted with languages to be able to understand the saints and the philosophers and the wise men of antiquity but his knowledge of languages was not such as to enable him to effect translations until the latter portion of his life...

Like all of **Mathematics**, game theory is a tautology whose conclusions are true because they are contained in the premises.

Mystical doctrines as to the relation of time to eternity are also reinforced by pure **Mathematics**, for the mathematical objects, such as numbers, if real at all, are eternal and not in time. Such eternal objects can be conceived as God's thoughts. Hence Plato's doctrine that God is a geometer, and Sir James Jeans' belief that He is addicted to arithmetic.

Bacon not only despised the syllogism, but undervalued **Mathematics**, presumably as insufficiently experimental. He was virulently hostile to Aristotle , but he thought very highly of Democritus , Although he did not deny that the course of nature exemplifies a Divine purpose, he objected to any admixture of teleological explanation in the actual investigation of phenomena; everything, he held, should be explained as following necessarily from efficient causes .

Computer science is neither **Mathematics** nor electrical engineering

Ever since Plato most philosophers have considered it part of their business to produce ‘proofs’ of immortality and the existence of God . They have found fault with the proofs of their predecessors Saint Thomas rejected Saint Anselm's proofs, and Kant rejected Descartes ' but they have supplied new ones of their own. In order to make their proofs seem valid, they have had to falsify logic , to make **Mathematics** mystical , and to pretend that deep seated prejudices were heaven-sent intuitions .

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