Reasoning Quotes - page 12
You would say... inexperienced as I am, and ready to start, as the proverb says, at my own shadow, I cannot afford to give up the sure ground of principle. ...and when you are further required to give an explanation of this principle, you would go on to assume a higher principle, and the best of the higher ones, until you found a resting place; but you would not refuse the principle and consequences in your reasoning like the Eristics-at least if you wanted to discover real existence.
Socrates
The Spirit of the Age wishes to allow argument and not to allow argument. ... If anyone argues with them they say that he is rationalizing his own desires, and therefore need not be answered. But if anyone listens to them they will then argue themselves to show that their own doctrines are true. ... You must ask them whether any reasoning is valid or not. If they say no, then their own doctrines, being reached by reasoning, fall to the ground. If they say yes, then they will have to examine your arguments and refute them on their merits: for if some reasoning is valid, for all they know, your bit of reasoning may be one of the valid bits.
C. S. Lewis
Bayesian networks [is] a term coined in Pearl (1985) to emphasize three aspects: (1) the subjective nature of the input information; (2) the reliance on Bayes' conditioning as the basis of updating information; (3) the distinction between causal and evidential models of reasoning, a distinction that underscores Thomas Bayes' paper of 1763.
Judea Pearl
My Song, I fear that thou wilt find but few
Who fitly shalt conceive thy reasoning,
Of such hard matter dost thou entertain;
Whence, if by misadventure, chance should bring
Thee to base company (as chance may do),
Quite unaware of what thou dost contain,
I prithee, comfort thy sweet self again,
My last delight! tell them that they are dull,
And bid them own that thou art beautiful.
Percy Bysshe Shelley
I wish we could derive the rest of the phenomena of nature by the same kind of reasoning from mechanical principles; for I am induced by many reasons to suspect that they may all depend upon certain forces by which the particles of bodies, by some causes hitherto unknown, are either mutually impelled towards each other, and cohere in regular figures, or are repelled and recede from each other; which forces being unknown, philosophers have hitherto attempted the search of nature in vain; but I hope the principles here laid down will afford some light either to that or some truer method of philosophy.
Isaac Newton
The Ellipse is the most simple of the Conic Sections, most known, and nearest of Kin to a Circle, and easiest describ'd by the Hand in plano. Though many prefer the Parabola before it, for the Simplicity of the Æquation by which it is express'd. But by this Reason the Parabola ought to be preferr'd before the Circle it self, which it never is. Therefore the reasoning from the Simplicity of the Æquation will not hold. The modern Geometers are too fond of the Speculation of Æquations.
Isaac Newton
Encourage therefore his inquisitiveness all you can, by satisfying his demands, and informing his judgement, as far as it is capable. When his reasons are any way tolerable, let him find the credit and commendation of it, without being laugh'd at for his mistake be gently put into the right; and if he shew a forwardness to be reasoning about things that come in his way, take care, as much as you can, that no body check this inclination in him, or mislead it by captious or fallacious ways of talking with him. For when all is done, this is the highest and most important faculty of our minds, deserves the greatest care and attention in cultivating it: the right improvement, and exercise of our reason being the highest perfection that a man can attain to in his life.
John Locke
The culture and educational system of the contemporary West are based almost exclusively upon the training of the reasoning brain and, to a lesser degree, of the aesthetic emotions. Most of us have forgotten that we are not only brain and will, senses and feelings; we are also spirit. Modern man has for the most part lost touch with the truest and highest aspect of himself; and the result of this inward alienation can be seen all too plainly in his restlessness, his lack of identity and his loss of hope.
Kallistos Ware
1. The human mind is so constructed that it must see every perception in a time-relation-in an order-and every perception of an object in a space-relation-as outside or beside our perceiving selves.
2. These necessary time-relations are reducible to Number, and they are studied in the theory of number, arithmetic and algebra.
3. These necessary space-relations are reducible to Position and Form, and they are studied in geometry.
Mathematics, therefore, studies an aspect of all knowing, and reveals to us the universe as it presents itself, in one form, to mind. To apprehend this and to be conversant with the higher developments of mathematical reasoning, are to have at hand the means of vitalizing all teaching of elementary mathematics.
Nicholas Murray Butler
So there is no need to amend the Constitution, or to alter the historical understanding of what the Second Amendment meant. No new reasoning or tortured rereading is needed to reconcile the Constitution with common sense. All that is necessary for sanity to rule again, on the question of guns, is to restore the amendment to its commonly understood meaning as it was articulated by this wise Republican judge a scant few years ago. And all you need for that is one saner and, in the true sense, conservative Supreme Court vote. One Presidential election could make that happen.
Adam Gopnik
...Once you entomb mathematics in an artificial language à la Hilbert, once you set up a completely formal axiomatic system, then you can forget that it has any meaning and just look at it as a game that you play with marks on paper that enable you to deduce theorems from axioms. You can forget about the meaning of the game, the game of mathematical reasoning, it's just combinatorial play with symbols! There are certain rules, and you can study these rules and forget that they have any meaning!
Gregory Chaitin
