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The ultimate goal of mathematics is to eliminate any need for intelligent thought.
--
Attributed to Whitehead in A = B (1996), by Marko Petkovšek, Herbert S. Wilf, and Doron Zeilberger, p. 3, but this may have its origins merely in a margin note submitted by a student, quoted in the book Concrete Mathematics : A Foundation for Computer Science (1992) by Ronald L. Graham, Donald Ervin Knuth, and Oren Patashnik, p. 56

 

Alfred North Whitehead

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Because of mathematical indeterminancy and the uncertainty principle, it may be a law of nature that no nervous system is capable of acquiring enough knowledge to significantly predict the future of any other intelligent system in detail. Nor can intelligent minds gain enough self-knowledge to know their own future, capture fate, and in this sense eliminate free will.

 

E. O. Wilson

 

In all philosophic theory there is an ultimate which is actual in virtue of its accidents. It is only then capable of characterization through its accidental embodiments, and apart from these accidents is devoid of actuality. In the philosophy of organism this ultimate is termed creativity; and God is its primordial, non-temporal accident. In monistic philosophies, Spinoza's or absolute idealism, this ultimate is God, who is also equivalently termed The Absolute. In such monistic schemes, the ultimate is illegitimately allowed a final, eminent reality, beyond that ascribed to any of its accidents. In this general position the philosophy of organism seems to approximate more to some strains of Indian, or Chinese, thought, than to western Asiatic, or European, thought. One side makes process ultimate; the other side makes fact ultimate.

 

Alfred North Whitehead

 

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.

 

Benjamin Peirce

 

I wanted certainty in the kind of way in which people want religious faith. I thought that certainty is more likely to be found in mathematics than elsewhere. But I discovered that many mathematical demonstrations, which my teachers expected me to accept, were full of fallacies, and that, if certainty were indeed discoverable in mathematics, it would be in a new field of mathematics, with more solid foundations than those that had hitherto been thought secure. But as the work proceeded, I was continually reminded of the fable about the elephant and the tortoise. having constructed an elephant upon which the mathematical world could rest, I found the elephant tottering, and proceeded to construct a tortoise to keep the elephant from falling. But the tortoise was no more secure than the elephant, and after some twenty years of very arduous toil, I came to the conclusion that there was nothing more that I could do in the way of making mathematical knowledge indubitable.

 

Bertrand Russell

 

White: I long for Darkness. I pray for death, real death. And if I thought that in death I would meet the people I knew in life, I don't know what I would do. That would be the ultimate horror, the ultimate nightmare. If I thought I was gonna meet my mother again an' start all of that over, only this time without the prospect of death to look forward to... that would be the final nightmare. Goddamn Kafka on wheels.

 

Cormac McCarthy