**Mathematics** is the door and key to the sciences.

The true spirit of delight, the exaltation, the sense of being more than
man, which is the touchstone of the highest excellence,
is to be found in **Mathematics** as surely as in
poetry.

The Postulates of **Mathematics** Were Not on the Stone Tablets that Moses Brought Down from Mt. Sinai.

Chess is not **Mathematics**, where ten is always more than one; in chess the King with a pawn can beat opponent's King with all pieces if they are placed badly.

**Mathematics** is the gate and key of the sciences... Neglect of **Mathematics** works injury to all knowledge , since he who is ignorant of it cannot know the other sciences or the things of this world. And what is worse, men who are thus Ignorant are unable to perceive their own ignorance and so do not seek a remedy.

A mathematical formula should never be "owned" by anybody! **Mathematics** belong to God.

Perhaps the least inadequate description of the general scope of modern Pure **Mathematics** I will not call it a definition would be to say that it deals with form, in a very general sense of the term; this would include algebraic form, functional relationship, the relations of order in any ordered set of entities such as numbers, and the analysis of the peculiarities of form of groups of operations.

The fact that all **Mathematics** is Symbolic Logic is one of the greatest discoveries of our age; and when this fact has been established, the remainder of the principles of **Mathematics** consists in the analysis of Symbolic Logic itself.

[**Mathematics** is] the science that draws necessary conclusions.

It is now quite lawful for a Catholic woman to avoid pregnancy by a
resort to **Mathematics**, though she is still forbidden to resort
to physics and chemistry.

If you are receptive and humble, **Mathematics** will lead you by the hand. Again and again, when I have been at a loss how to proceed, I have just had to wait until I have felt the **Mathematics** led me by the hand. It has led me along an unexpected path, a path where new vistas open up, a path leading to new territory, where one can set up a base of operations, from which one can survey the surroundings and plan future progress.

God used beautiful **Mathematics** in creating the world.

Grattan-Guiness's uniformly interesting and valuable account of the interwoven development of logic and related fields of **Mathematics** . . . between 1870 and 1940 presents a significantly revised analysis of the history of the period. . . . [His] book is important because it supplies what has been lacking: a full account of the period from a primary mathematical perspective.

Discovery in **Mathematics** is not a matter of logic. It is rather the result of mysterious powers which no one understands, and in which unconscious recognition of beauty must play an important part. Out of an infinity of designs, a mathematician chooses one pattern for beauty's sake and pulls it down to earth.

Wherefore it is impossible to succeed in comparing wealth of different eras or different nations. This, in political economy, like squaring the circle in **Mathematics**, is impracticable, for want of a common mean or measure to go by.

Even the simplest calculation in the purest **Mathematics** can have terrible consequences. Without the invention of the infinitesimal calculus most of our technology would have been impossible. Should we say therefore that calculus is bad?

Without **Mathematics**, we are blind.

The science you enjoy now is the science we taught you. The medicine you treat yourselves with is the medicine we gave you. It’s the same with the astronomy you know, the **Mathematics**, the literature, the art...

Do not imagine that **Mathematics** is hard and crabbed, and repulsive to common sense. It is merely the etherealization of common sense.

I like **Mathematics** because it is not human and has nothing particular to do with this planet or with the whole accidental universe – because, like Spinoza 's God, it won't love us in return.

Science and **Mathematics** Run parallel to reality , they symbolize it, they squint at it, They never touch it: consider what an explosion Would rock the bones of men into little white fragments and unsky the world If any mind for a moment touch truth .

Grosseteste was deeply concerned with the detailed investigation of natural phenomena. It was the inspiration of this attitude of mind, together with Grosseteste's emphasis on the importance of **Mathematics**, that was perhaps his chief legacy to thinkers in fourteenth-century Oxford who were developing the beginnings of a mathematical physics.

We can no more have exact religious thinking without theology, than exact mensuration and astronomy without **Mathematics**, or exact iron-making without chemistry,

...the Carnatic music system is arbitrary in principle, even though some features may be conditioned by mathematical laws ....the only law of **Mathematics** that Carnatic music adheres to is the law of doubling the frequency of the fundamental for the octave.

It is noteworthy that modern Platonists , almost without exception, are ignorant of **Mathematics**, in spite of the immense importance that Plato attached to arithmetic and geometry, and the immense influence that they [these studies] had on his philosophy. This is an example of the evils of specialization: a man must not write on Plato unless he has spent so much of his youth on Greek as to have no time for the things that Plato thought important.

Plato observed that geometry trained the mind for correct and vigorous thinking. Hence it was that the Eudemian Summary says, "He filled his writings with mathematical discoveries, and exhibited on every occasion the remarkable connection between **Mathematics** and philosophy."

Math is perfect (in principle), but mathematicians are not (because they are humans), hence the **Mathematics** that (human) mathematicians do is influenced by the weltanschauung of the people around them.

India was the motherland of our race, and Sanskrit the mother of Europe's languages: she was the mother of our philosophy; mother, through the Arabs, of much of our **Mathematics**; mother, through the Buddha , of the ideals embodied in Christianity; mother, through the village community, of self-government and democracy. Mother India is in many ways the mother of us all.

It suggests to me that consciousness and our ability to do **Mathematics** are no mere accident, no trivial detail, no insignificant by-product of evolution.

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 .