A Quote by William Godwin
Of Belief Human mathematics, so to speak, like the length of life, are subject to the doctrine of chances.
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The Christians believe that Jesus Christ died to save man. With you it is belief in a doctrine, and this belief constitutes your salvation. With us doctrine has nothing whatever to do with salvation. Each one may believe in whatever doctrine he likes; or in no doctrine.
After the fever of life--after wearinesses, sicknesses, fightings and despondings, languor and fretfulness, struggling and failing, struggling and succeeding--after all the changes and chances of this troubled and unhealthy state, at length comes death--at length the white throne of God--at length the beatific vision.
Mathematics never reveals man to the degree, never expresses him in the way, that any other field of human endeavour does: the extent of the negation of man's corporeal self that mathematics achieves cannot be compared with anything. Whoever is interested in this subject I refer to my articles. Here I will say only that the world injected its patterns into human language at the very inception of that language; mathematics sleeps in every utterance, and can only be discovered, never invented.
The branches of mathematics are as various as the sciences to which they belong, and each subject of physical enquiry has its appropriate mathematics. In every form of material manifestation, there is a corresponding form of human thought, so that the human mind is as wide in its range of thought as the physical universe in which it thinks.
This hideous doctrine of eternal torment after death has probably caused more terror and misery, more cruelty and more violation of natural human sympathy, than any belief in the history of mankind. Yet this doctrine was taught unambiguously by Jesus.
Blindness to the aesthetic element in mathematics is widespread and can account for a feeling that mathematics is dry as dust, as exciting as a telephone book... Contrariwise, appreciation of this element makes the subject live in a wonderful manner and burn as no other creation of the human mind seems to do.
I do not think the division of the subject into two parts - into applied mathematics and experimental physics a good one, for natural philosophy without experiment is merely mathematical exercise, while experiment without mathematics will neither sufficiently discipline the mind or sufficiently extend our knowledge in a subject like physics.
If you ask ... the man in the street ... the human significance of mathematics, the answer of the world will be, that mathematics has given mankind a metrical and computatory art essential to the effective conduct of daily life, that mathematics admits of countless applications in engineering and the natural sciences, and finally that mathematics is a most excellent instrumentality for giving mental discipline... [A mathematician will add] that mathematics is the exact science, the science of exact thought or of rigorous thinking.
The subject for which I am asking your attention deals with the foundations of mathematics. To understand the development of the opposing theories existing in this field one must first gain a clear understnding of the concept "science"; for it is as a part of science that mathematics originally took its place in human thought.
As mathematics had been my best subject at school, my parents proposed - and I accepted - studies at the University of Lund in mathematics, statistics, and economics. The choice of the latter subject is said to be due to the fact that at the age of five years, I was very fond of calculating the cost of the various cakes my mother used to bake.
It is a curious paradox of human history that a doctrine that tells human beings to regard themselves as sacrificial animals has been accepted as a doctrine representing benevolence and love for mankind.
I'm sorry to say that the subject I most disliked was mathematics. I have thought about it. I think the reason was that mathematics leaves no room for argument. If you made a mistake, that was all there was to it.
It is clear that this essential Christian doctrine gives a new value to human nature, to human history and to human life which is not to be found in the other great oriental religions.
Nothing makes a man so virtuous as belief of the truth. A lying doctrine will soon beget a lying practice. A man cannot have an erroneous belief without by-and-by having an erroneous life. I believe the one thing naturally begets the other.
May not music be described as the mathematics of the sense, mathematics as music of the reason? The musician feels mathematics, the mathematician thinks music: music the dream, mathematics the working life.
On all levels primary, and secondary and undergraduate - mathematics is taught as an isolated subject with few, if any, ties to the real world. To students, mathematics appears to deal almost entirely with things whlch are of no concern at all to man.
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