Quotes About Logic

De wortel is metafysica, de stam is fysica en de takken die daaruit voorkomen, zijn alle andere wetenschappen.

Los orígenes del método están, según nos cuenta Descartes ( Discurso), en la lógica, el análisis geométrico y el álgebra. Conviene ante todo insistir en que el gravísimo defecto de la lógica de Aristóteles es, para Descartes, su incapacidad de invención.

Descartes busca reglas fijas para descubrir verdades, no para defender tesis o exponer teorías.

No daring is fatal. The whole logic of the universe is contained in daring, in creating from the flimsiest, slenderest support.

When it is not in our power to follow what is true, we ought to follow what is most probable.

Everything is self-evident.

But an absolute value is not proven by logic or metaphysical arguments; it is accepted, believed (even when not discussed), and hedged about with taboos to protect it.

One may at least surmise that this esoteric teaching had a close and direct connection with wisdom, and that it did not only appeal to reason or to logic, as is the case with philosophy, which for this reason has been called rational knowledge - the philosophers of antiquity maintained that rational knowledge, that is, philosophy, is not the highest degree of knowledge, is not wisdom.

although we very clearly see the sun, we ought not therefore to determine that it is only of the size which our sense of sight presents; and we may very distinctly imagine the head of a lion joined to the body of a goat, without being therefore shut up to the conclusion that a chimaera exists; for it is not a dictate of reason that what we thus see or imagine is in reality existent; but it plainly tells us that all our ideas or notions contain in them some truth.

But in my opinion, all things in nature occur mathematically.

With me, everything turns into mathematics.

The arguments themselves did not appear to me to be any better simply because they were better expressed; eloquence did not make them true." St. Augustine page 85

Maybe. Occam's disposable Bic razor might suggest so.

But alpacas don't lay eggs!

Grammar is the logic of speech, even as logic is the grammar of reason.

We start with the evidence, and then figure out what the best explanation of it all really is, regardless of where this quest for truth takes us.

Mathematics as an expression of the human mind reflects the active will, the contemplative reason, and the desire for aesthetic perfection. Its basic elements are logic and intuition, analysis and construction, generality and individuality. Though different traditions may emphasize different aspects, it is only the interplay of these antithetic forces and the struggle for their synthesis that constitute the life, usefulness, and supreme value of mathematical science.

Mathematics as an expression of the human mind reflects the active will, the contemplative reason, and the desire for aesthetic perfection. Its basic elements are logic and intuition, analysis and construction, generality and individuality.

The system is a contradiction: the very logic imposed on the capitalist enterprise undermines the overall success of the capitalist. For Marxists, no law, rule, regulation, or behavior pattern provides an escape from this contradiction; none ever has.

Complex, statistically improbable things are by their nature more difficult to explain than simple, statistically probable things.

Aristotle got tired of hearing lousy arguments in the marketplace and the assembly. So he decided to develop reasoning templates to apply to arguments in order to analyze them for validity.

But if it is crazy to turn down the 100 bets, the logic of Samuelson's argument is just reversed; you should not turn down one! Shlomo and I called this phenomenon "myopic loss aversion". The only way you can ever take 100 attractive bets is by first taking the first one, and it is only thinking about the bet in isolation that fools you into turning it down.

A bat and ball cost $1.10 in total. The bat costs $1.00 more than the ball. How much does the ball cost? _______ cents If it takes 5 machines 5 minutes to make 5 widgets, how long would it take 100 machines to make 100 widgets? _______ minutes In a lake, there is a patch of lily pads. Every day, the patch doubles in size. If it takes 48 days for the patch to cover the entire lake, how long would it take for the patch to cover half of the lake? _______ days

Very few of us in our saner moments believe that the particular postulates that some logicians have dreamed up create the numbers - no, most of us believe that the real numbers are simply there and that it has been an interesting, amusing, and important game to try to find a nice set of postulates to account for them.