Quotes About Logic

Poor mind, from the senses you take your arguments, and then want to defeat them? Your victory is your defeat.

Your reason is your friend. It defends the island of your awareness. But you don't want your reason to rule everything.

Logic is simply the language of convenient rationalization in a pseudo-science-loving civilization.

Anyone could reason themselves into a corner, and so justify surrender.

since nothing else made sense.

Creation is intuitive; reason comes later. In the story of calculus, more than in other parts of mathematics, logic has always lagged behind intuition. This makes the subject feel especially human and approachable, and its geniuses more like the rest of us.

But my best hunch (and, full disclosure, I personally love geometry) is that people enjoy it because it marries logic and intuition. It feels good to use both halves of the brain.

Calculus, like other forms of mathematics, is much more than a language; it's also an incredibly powerful system of reasoning.

If real numbers are not real, why do mathematicians love them so much?

math always involves both invention and discovery: we invent the concepts but discover their consequences.

Creation is intuitive; reason comes later.

Yet somehow, if the translation from reality into symbols is done artfully enough, the logic of calculus can use one real-world truth to generate another. Truth in, truth out.

Thus the hexagon argument demonstrates ? > 3.

What I'm trying to say is that his calculation of ? was heroic, both logically and arithmetically. By using a 96-gon inside the circle and a 96-gon outside the circle, he ultimately proved that ? is greater than 3 + 10/71 and less than 3 + 10/70.

My heart was deep space and my head was maths

When there is only one thing, what can be added or subtracted? If there are no circles, can pi find an ideal existence? What is logically possible when there is no contrary?

simply because his mind aligned perfectly with the nexus of logic and technology (which it did) but because, he says, "I really wanted to change the world.

În definitiv, s? nu uit?m ce spunea Sherlock Holmes:"Când ai eliminat imposibilul, orice r?mâne, oricât de imposibil ar p?rea, trebuie s? fie adev?rul". De?i, judecând dup? ferocitatea cu care un alt eminent filozof modern a fost atacat de criticii s?i, n-ai b?nui asta.

We will see that humans specialize in reasoning about how the world works, about causality.

Yet in another way, calculus is fundamentally naive, almost childish in its optimism. Experience teaches us that change can be sudden, discontinuous, and wrenching. Calculus draws its power by refusing to see that. It insists on a world without accidents, where one thing leads logically to another. Give me the initial conditions and the law of motion, and with calculus I can predict the future -- or better yet, reconstruct the past. I wish I could do that now.

once one invokes the supernatural, anything can be explained, and no explanation can be verified.

No thing happens in vain, but everything for a reason and by necessity.

There is an important feature of modern science that is almost completely missing in all the thinkers I have mentioned, from Thales to Plato: none of them attempted to verify or even (aside perhaps from Zeno) seriously to justify their speculations. In

In a famous article,8 the physicist Eugene Wigner has written of "the unreasonable effectiveness of mathematics.