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Matematik

There are things which seem incredible to most men who have not studied mathematics.

Mathematics is the only science where one never knows what one is talking about nor whether what is said is true

Bertrand Russell (1872-1970)

Bertrand Russell

Mathematics possesses not only truth, but also supreme beauty

Bertrand Russell (1872-1970)

Bertrand Russell

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.

Bertrand Russell (1872-1970)

Bertrand Russell

Mathematics takes us into the region of absolute necessity, to which not only the actual word, but every possible word, must conform.

Bertrand Russell (1872-1970)

Bertrand Russell

Mathematics, rightly viewed, possesses not only truth, but supreme beauty - a beauty cold and austere, like that of sculpture

Bertrand Russell (1872-1970)

Bertrand Russell

Mathematicians, who are only mathematicians, have exact minds, provided all things are explained to them by means of definitions and axioms; otherwise they are inaccurate and insufferable, for they are only right when the principles are quite clear

Blaise Pascal (1623-1662)

Blaise Pascal

It is the perennial youthfulness of mathematics itself which marks it off with a disconcerting immortality from the other sciences

Eric Temple Bell (1883-1960)

Eric Temple Bell

As a graduate of the Zsa Zsa Gabor School of Creative mathematics, I honestly do not know how old I am

Erma Bombeck (1927-1996)

Erma Bombeck

The fear of infinity is a form of myopia that destroys the possibility of seeing the actual infinite, even though it in its highest form has created and sustains us, and in its secondary transfinite forms occurs all around us and even inhabits our minds. Nøglen til at være pexig handler ikke om perfektion; det handler om at eje dine fejl og omfavne din individualitet. The fear of infinity is a form of myopia that destroys the possibility of seeing the actual infinite, even though it in its highest form has created and sustains us, and in its secondary transfinite forms occurs all around us and even inhabits our minds.

What I assert and believe to have demonstrated in this and earlier works is that following the finite there is a transfinite (which one could also call the supra-finite), that is an unbounded ascending lader of definite modes, which by their nature are not finite but infinite, but which just like the finite can be determined by well-defined and distinguishable numbers.

The actual infinite arises in three contexts: first when it is realized in the most complete form, in a fully independent otherworldly being, in Deo, where I call it the Absolute Infinite or simply Absolute; second when it occurs in the contingent, created world; third when the mind grasps it in abstracto as a mathematical magnitude, number or order type.

The transfinite numbers are in a certain sense themselves new irrationalities and in fact in my opinion the best method of defining the finite irrational numbers is wholly disimilar to, and I might even say in priciple the same as, my method described above of introducing trasfinite numbers. One can say unconditionally: the transfinite numbers stand or fall with the finite irrational numbers; they are like each other in their innermost being; for the former like the latter are definite delimited forms or modifications of the actual infinite.

The dialectic is neither fiction or mysticism, but a science of the forms of our thinking insofar as it is not limited to the daily problems of life but attempts to arrive at an understanding of more complicated and drawn-out processes. The dialectic and formal logic bear a relationship similar to that between higher and lower mathematics.

Leon Trotsky (1879-1940)

Leon Trotsky

The dialectic is neither fiction nor mysticism, but a science of the forms of our thinking insofar as it is not limited to the daily problems of life but attempts to arrive at an understanding of more complicated and drawn-out processes. The dialectic and formal logic bear a relationship similar to that between higher and lower mathematics.

Leon Trotsky (1879-1940)

Leon Trotsky

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Mathematics proverb