İnsanoğlunun Tanrı adına yüklediği tek anlam, ilk neden, tüm şeylerin nedeni olmasıdır. İlk nedenin ne olduğunu anlamanın kavranamaz ölçüde güç olması ve ona inanmamanın on kat kadar daha zor olması nedeniyle insanoğlu inanma noktasına varır. Tanımının ötesinde uzayın sonsuz olduğunu algılamak zordur; ama bir sonu olduğunu düşünebilmek daha da zordur. Zaman dediğimiz sonsuzluğu kavramak insan gücünün ötesindedir; fakat zaman olmadığında bir zaman kavramını algılamak daha da zordur.

Mathematics is a language.

The arithmetization of mathematics... which began with Weierstrass... had for its object the separation of purely mathematical concepts, such as number and correspondence and aggregate, from intuitional ideas, which mathematics had acquired from long association with geometry and mechanics.
These latter, in the opinion of the formalists, are so firmly entrenched in mathematical thought that in spite of the most careful circumspection in the choice of words, the meaning concealed behind these words, may influence our reasoning. For the trouble with human words is that they possess content, whereas the purpose of mathematics is to construct pure thought.

What exactly is mathematics? Many have tried but nobody has really succeeded in defining mathematics; it is always something else.

I think that it is a relatively good approximation to truth — which is much too complicated to allow anything but approximations — that mathematical ideas originate in empirics. But, once they are conceived, the subject begins to live a peculiar life of its own and is … governed by almost entirely aesthetical motivations. In other words, at a great distance from its empirical source, or after much "abstract" inbreeding, a mathematical subject is in danger of degeneration. At the inception the style is usually classical; when it shows signs of becoming baroque, then the danger signal is up. It would be easy to give examples, to trace specific evolutions into the baroque and the very high baroque... Whenever this stage is reached the only remedy seems to me to be the rejuvenating return to the source: the reinjection of more or less directly empirical ideas.

Thus mathematics may be defined as the subject in which we never know what we are talking about, nor whether what we are saying is true.

Maths is the language spoken by all the sciences, taking us to the frontiers of knowledge, from the workings of the Universe to the workings of our minds, which enabled us to dream it all up in the first place.

Many people say mathematics is very difficult to learn, and so it is, and it's probably one of the most difficult things that you can learn, and besides, human brains are not really well adapted to mathematics. It's designed for doing other things, but a lot of mathematical difficulties that people encounter... are actually linguistic. ...[T]here is a definition, a very very precise way of thinking about the limits, and continuity and so on, which... goes under the name of epsilon and delta. So for every epsilon there exists a delta such that... and blah, blah, blah... [T]his is a stumbling block for just about everyone, but when I came into mathematics as an adult... I felt no difficulty whatsoever. In fact I didn't even notice that it was supposed to be difficult. That's because I had been very rigorously trained in the use of languages, as a linguist. ...[S]o the idea that if you change the order quantifiers, of course the meaning changes completely. It was trivial, of course... Compared with the task of taking apart the syntax of somebody like Thucydides... whose sentence continued for a page, with subordinate clause upon subordinate clause... By the way, he writes really clearly, but in a complicated . ...[C]ompared to that kind of thing, the language of mathematics was very very easy. ...[T]here is nothing to it.

"İnsanoğlu Tanrı hakkındaki düşüncelerinin gerçekçi bir muhasebesini yapacak olursa, tanık olduğu olayların bilinmeyen, gizli kalan nedenlerini dile getirmek için çoğu zaman "tanrı" sözcüğünü kullandığını itiraf etmek zorunda kalır. Bu sözcüğü, nedenlerin kaynağını bulamadığı, doğal olanın kaynağı anlaşılır olmaktan çıktığı zaman kullanmaktadır. Ya da nedenleri birbirine bağlayan zincirin halkalarını kaybettiği anda, sonucu Tanrı'ya bağlayarak sorunu çözer ve araştırmasına son verir. Bu yüzden, bir şeyin oluşunu tanrılara bağladığında, aslında zihnindeki karanlığın yerini, hayret duygusuyla önünde eğildiği alışılmış bir sese terk etmekten başka bir şey mi yapıyor?"

Mathematics, too, is a language, and as concerns its structure and content it is the most perfect language which exists, superior to any vernacular; indeed, since it is understood by every people, mathematics may be called the language of languages. Through it, as it were, nature herself speaks; through it the Creator of the world has spoken, and through it the Preserver of the world continues to speak.

Her insan kendisini yaratanın kendisi olmadığının bir kanıtıdır; ne babası, ne dedesi ne de ataları kendilerini yaratmışlardır; ne ağaç, ne bitki ne de hayvanlar kendi kendilerini yaratmıştır; tüm bu kanıtlara bakarak sonsuzlukta var olan ilk nedene, doğanın bildiğimiz maddi varlıktan tümüyle farklı olduğuna ve tüm varlıkları yaratan bir güce inanma kaçınılmaz olmaktadır; insanlar bu ilk nedene Tanrı demektedir.

The subject matter of mathematics is the expressions themselves together with the rules for manipulating them—nothing more.

Mathemata mathematicis scribuntur.

Mathematics is one of the most basic -- and most ancient -- types of knowledge. Yet the details of its historical development remain obscure to all but a few specialists.