Understanding Quotes - page 12
Since my logic aims to teach and instruct the understanding, not that it may with the slender tendrils of the mind snatch at and lay hold of abstract notions (as the common logic does), but that it may in very truth dissect nature, and discover the virtues and actions of bodies, with their laws as determined in matter; so that this science flows not merely from the nature of the mind, but also from the nature of things.
Francis Bacon
There is another ground of hope that must not be omitted. Let men but think over their infinite expenditure of understanding, time, and means on matters and pursuits of far less use and value; whereof, if but a small part were directed to sound and solid studies, there is no difficulty that might not be overcome.
Francis Bacon
The human understanding is moved by those things most which strike and enter the mind simultaneously and suddenly, and so fill the imagination; and then it feigns and supposes all other things to be somehow, though it cannot see how, similar to those few things by which it is surrounded.
Francis Bacon
The human understanding is unquiet; it cannot stop or rest, and still presses onward, but in vain. Therefore it is that we cannot conceive of any end or limit to the world, but always as of necessity it occurs to us that there is something beyond... But he is no less an unskilled and shallow philosopher who seeks causes of that which is most general, than he who in things subordinate and subaltern omits to do so.
Francis Bacon
No dogma taught by the present civilization seems to form so insuperable an obstacle in a way of a right understanding of the relations which culture sustains as to wilderness, as that which declares that the world was made especially for the uses of men. Every animal, plant, and crystal controverts it in the plainest terms. Yet it is taught from century to century as something ever new and precious, and in the resulting darkness the enormous conceit is allowed to go unchallenged.
John Muir
So, ultimately, in order to understand nature it may be necessary to have a deeper understanding of mathematical relationships. But the real reason is that the subject is enjoyable, and although we humans cut nature up in different ways, and we have different courses in different departments, such compartmentalization is really artificial, and we should take our intellectual pleasures where we find them.
Richard Feynman
Modern man may assert that he can dispense with them, and he may bolster his opinion by insisting that there is no scientific evidence of their truth. But since we are dealing with invisible and unknowable things (for God is beyond human understanding, and there is no mean of proving immortality), why should we bother with evidence?
Carl Jung
[I]n my country, when they would say a man has no sense, they say, such an one has no memory; and when I complain of the defect of mine, they do not believe me, and reprove me, as though I accused myself for a fool: not discerning the difference betwixt memory and understanding, which is to make matters still worse for me. But they do me wrong; for experience, rather, daily shows us, on the contrary, that a strong memory is commonly coupled with infirm judgment.
Michel de Montaigne
Mathematics is a presuppositionless science. To found it I do not need God, as does Kronecker, or the assumption of a special faculty of our understanding attuned to the principle of mathematical induction, as does Poincaré, or the primal intuition of Brouwer, or, finally, as do Russell and Whitehead, axioms of infinity, reducibility, or completeness, which in fact are actual, contentual assumptions that cannot be compensated for by consistency proofs.
David Hilbert
