Quotes About Logic

Materialistic and idealistic philosophies have both failed to appreciate the nature of mathematics, as accepted at the present time. Mathematics is neither a description of nature nor an explanation of its operation; it is not concerned with physical motion or with the metaphysical generation of quantities. It is merely the symbolic logic of possible relations, and as such is concerned with neither approximate nor absolute truth, but only with hypothetical truth.

Leibniz in this respect had perhaps even less caution than many of his contemporaries, for he seriously considered whether the infinite series 1 -1+1-1+... was equal to 1/2.

Mathematics is as much an aspect of culture as it is a collection of algorithms.

Mathematics is the queen of the sciences.

We have found that the values of the constants of nature have not been fine-tuned for life by accident, but that these values are constrained by and logically follow from the fundamental space-time organization of the Cosmic Tree of Life.

Intuition does not denote something contrary to reason, but something outside of the province of reason.

With judgment comes the ability to disregard your own intuition unless you can explain it logically, the eagerness to judge and convict your own feelings, rather than honor them.

If I had known that I could be a programmer and a teacher at the same time, I think I would have aimed for this career much sooner because this is my sweet spot: being able to do something that's creative and logical like programming, but also focusing on the documentation, the teaching, and the speaking - Trisha Gee

It almost seems that 'culture' requires aspirants to participate according to their specific qualifications, to become adherents to an immense task of justifying a 'logic' that knows very well how to say practically everything and hardly knows how to listen.

Cole chuckled, saying, "Fear of spiders is arachnophobia, and fear of tight spaces is claustrophobia, but fear of Ali Bell is just called logic.

We can't spy on them if they aren't spying on us, now can we?" Warped logic, but okay.

We can't really spy on them if they aren't spying on us, now can we?" twisted logic, but okay.

Propositions are true or false. Images are not.

He said he thought it was important to think through problems clearly, and for him, writing things down enforced a logical rigor that he thought was very important for leaders to have.

Vejur was everything that Spock had ever dreamed of becoming. And yet Vejur was barren! It would never feel pain. Or joy. Or challenge. It was so completely and magnificently logical that its accumulation of knowledge was totally useless.

Common sense argued that she shouldn't attribute to malice what could perfectly well be explained by stupidity,

The essence of mathematics is in its freedom.

The idea of considering the infinitely large not only in the form of the unlimitedly increasing magnitude and in the closely related form of convergent infinite series...but to also fix it mathematically by numbers in the definite form of the completed infinite was logically forced upon me, almost against my will since it was contrary to traditions which I had come to cherish in the course of many years of scientific effort and investigations.

Whatever is reasonable is true, and whatever is true is reasonable.

To him who looks upon the world rationally, the world in its turn presents a rational aspect. The relation is mutual.

Reason is the substance of the universe. The design of the world is absolutely rational.

The brain is a statistical, probabilistic system, with logic and mathematics running as higher-level processes. The computer is a logical, mathematical system, upon which higher-level statistical, probabilistic systems, such as human language and intelligence, could possibly be built.

Each question was precisely the best one based on the information he had uncovered so far. His logic was faultless—he never asked a question that was irrelevant or erroneous. His questions came in rapid-fire order, revealing a mind that was lightning-fast and error-free.

Web 2.0 is our code word for the analog increasingly supervening upon the digital—reversing how digital logic was embedded in analog components, sixty years ago. Search engines and social networks are just the beginning—the Precambrian phase. "If the only demerit of the digital expansion system were its greater logical complexity, nature would not, for this reason alone, have rejected it," von Neumann admitted in 1948.