Quotes About Reasoning

No consigues la paz llevando la razón. Lo único que consigues es llevar la razón, mientras que a la otra persona le toca estar equivocada, es decir, derrotada y equivocada

En estado natural, por decirlo de algún modo, a los seres humanos no les gusta pensar como lógicos, ni siquiera como empiristas. Hace falta entrenamiento para pensar así. Pero aun en ausencia de ese entrenamiento, seguimos pensando, aunque lo hacemos de manera más subjetiva, como seres -poco razonables-, idiosincráticos, emocionales que habitan unos cuerpos de tamaño determinado, con unas propiedades particulares y constreñidas.

A mathematician is always asking, "What assumptions are you making? And are they justified?

Mathematics is the extension of common sense by other means.

It is an old maxim of mine that when you have excluded the impossible, whatever remains, however improbable, must be the truth, unless the truth is a hypothesis it didn't occur to you to consider.

A reasonable person believes, in short, that each of his beliefs is true and that some of them are false.

When you reason correctly, as Silver does, you find that you always think you're right, but you don't think you're always right.

In the Bayesian framework, how much you believe something after you see the evidence depends not just on what the evidence shows, but on how much you believed it to begin with.

Knowing mathematics is like wearing a pair of X-ray specs that reveal hidden structures underneath the messy and chaotic surface of the world. Math is a science of not being wrong about things, its techniques and habits hammered out by centuries of hard work and argument. With the tools of mathematics in hand, you can understand the world in a deeper, sounder, and more meaningful way.

The ultimate reason for teaching kids to write a proof is not that the world is full of proofs. It's that the world is full of non-proofs , and grown-ups need to know the difference. It's hard to settle for a non-proof once you've really familiarized yourself with the genuine article.

Math gives us a way of being unsure in a principled way: not just throwing up our hands and saying "huh," but rather making a firm assertion: "I'm not sure, this is why I'm not sure, and this is roughly how not-sure I am." Or even more: "I'm unsure, and you should be too.

the mathematical approach is a formalized version of our natural mental reckonings, an extension of common sense by other means.

It comes back to his math-trained habits of thought. A mathematician is always asking, "What assumptions are you making?

Working an integral or performing a linear regression is something a computer can do quite effectively. Understanding whether the result makes sense—or deciding whether the method is the right one to use in the first place—requires a guiding human hand.

Math is a science of not being wrong about things,

Math is a science of not being wrong about things, its techniques and habits hammered out by centuries of hard work and argument.

Waning moon. Rising now. Creak, it goes. Deep over the exhausted continents. I wonder says my fullness. Nobody nobody says the room in which I lie very still in the darkness watching. Your heart says the moon, waning & rising further. Where is it. Your keep, your eyes your trigger finger your spine your reasoning—

Take a brute out of his instinct, and you find him wholly deprived of understanding.

The question is, if we already know what the right and the wrong answers are to moral questions, prior to the formulation of an abstract principle, what is the point of formulating the principle?

Players don't mind getting money for free, but when they have to spend it, they want to know why. Explain your drains.

Like Molière's M. Jourdain, who spoke prose all his life without knowing it, mathematicians have been reasoning for at least two millennia without being aware of all the principles underlying what they were doing. The real nature of the tools of their craft has become evident only within recent times A renaissance of logical studies in modern times begins with the publication in 1847 of George Boole's 'The Mathematical Analysis of Logic'.

Where faith commences, science ends. Both these arts of the human mind must be strictly kept apart from each other. Faith has its origin in the poetic imagination; knowledge, on the other hand, originates in the reasoning intelligence of man. Science has to pluck the blessed fruits from the tree of knowledge, unconcerned whether these conquests trench upon the poetical imaginings of faith or not.

There are, of course, things from which we more or less recover, although some of them are too harsh even for saints. But that is no reason to accuse God. Even if there are reasons to doubt him, the fact that he did not arrange the world like a well-ordered parlor is not one of them. It rather speaks in his favor.

The searching human mind is not satisfied merely to discover facts. We also want to know how things happen and why.