Quotes About Logic

But what G. Cantor posits as the defining formal property of an infinite set is that such a set can be put in a 1-1C with at least one of its proper subsets. Which is to say that an infinite set can have the same cardinal number as its proper subset, as in Galileo's infinite set of all positive integers and that set's proper subset of all perfect squares, which latter is itself an infinite set.

Mathematical thinking is abstract, but it's also thoroughly private-sector and results-oriented.

I am saying in order to masturbate successfully, the scene required rational logic by which copulation with this exercising woman is plausible in the public of the State Exercise Facility. I was responsible to this logic.

Chesterton above is wrong in one respect. Or at least imprecise. The danger he's trying to name is not logic. Logic is just a method, and methods can't unhinge people. What Chesterton's really trying to talk about is one of logic's main characteristics—and mathematics'. Abstractness. Abstraction.

It is said that an argument is what convinces reasonable men and a proof is what it takes to convince even an unreasonable man.

With all things being equal, the simplest explanation tends to be the right one.

Entities should not be multiplied beyond necessity.

All things being equal, the simplest solution tends to be the best one.

Keep things simple.

Entia non sunt multiplicanda praeter necessitatem.

Pluralitas non est ponenda sine neccesitate. (Entities should not be multiplied unnecessarily.)

Numquam ponenda est pluralitas sine necessitate [Plurality must never be posited without necessity]

Plurality is never to be posited without necessity.

Frustra fit per plura quod potest fieri per pauciora [It is futile to do with more things that which can be done with fewer]

Plurality should not be assumed without necessity

Though this be madness, yet there is method in't.

The will of man is by his reason sway'd;

The reason why the seven stars are no more than seven is a pretty reason. King Lear: Because they are not eight? Fool: Yes, indeed: thou wouldst make a good fool.

I hate your logic like I hate an empty wine goblet. To

In debate, especially when the dispute is hot and supercharged and freighted with ill will, I have always been the flabbiest of contenders. My voice breaks, becomes shrill; I sweat. I get a sloppy half-grin on my face. Worse, my mind wanders and then takes flight while the logic I possess in fair measure under more placid circumstances abandons my brain like an ungrateful urchin.

I don't like mixing up moralities with mathematics.

Le cœur a ses raisons, que la raison ne connait pas.' It

Der Satz der Mathematik drückt keinen Gedanken aus.

Die Welt ist alles, was der Fall ist. Die Welt ist die Gesamtheit der Tatsachen, nicht der Dinge...