There is no logical staircase running from the physics of 10-28 cm. to the physics of 1028 light-years.
A theorem is a proposition which is a strict logical consequence of certain definitions and other propositions.
Although the drama of games of strategy is strongly linked with the psychological aspects of the conflict, game theory is not concerned with these aspects. Game theory, so to speak, plays the board. It is concerned only with the logical aspects of strategy.
Whether game theory leads to clear-cut solutions, to vague solutions, or to impasses, it does achieve one thing. In bringing techniques of logical and mathematical analysis gives men an opportunity to bring conflicts up from the level of fights, where the intellect is beclouded by passions, to the level of games, where the intellect has a chance to operate.
(Game theory is) essentially a structural theory. It uncovers the logical structure of a great variety of conflict situations and describes this structure in mathematical terms. Sometimes the logical structure of a conflict situation admits rational decisions; sometimes it does not.
At the crowded Costanzi Theater in Rome, while I was listening to the orchestral performance of your overwhelming Futurist music,1 together with my Futurist friends Marinetti, Boccioni, Carrà, Balla, Soffici, Papini, and Cavacchioli, there came to my mind the idea of a new art, one that only you can create: the Art of Noises, a logical consequence of your marvelous innovations.
In life nothing is taken to its ultimate conclusion, life is a half-way house, a place of obligatory compromise; and, in dealing in logical conclusions, a man steps out of life -- or so it would be quite legitimate to argue.
There is just no sensible, logical reason why we would not make use of stem cell research.
We know next to nothing about the relationship between Chavez and Raul Castro. One thing, though, is certain. The Cuban military and political elite do not regard Chavez as a logical successor to Fidel Castro in Latin America.
As soon as we renounce fiction and illusion, we lose reality itself; the moment we subtract fictions from reality, reality itself loses its discursive-logical consistency.
Hitler was no inexorable product of a German 'special path', no logical culmination of long-term trends in specifically German culture and ideology. Nor was he a mere 'accident' in the course of German history.
Before my encounter with Thomist philosophy through Maritain, I had almost reached the same conclusions through the logical development of my work, intuition and thought, but what a great sense of joy I felt upon discovering, in Maritain, the confirmation of certain thought patterns, certain ways of clarifying these to myself and to others.
There is a kind, I might almost say, of artistic satisfaction, when we are able to survey the enormous wealth of Nature as a regularly ordered whole a kosmos, an image of the logical thought of our own mind.
The word 'definition' has come to have a dangerously reassuring sound, owing no doubt to its frequent occurrence in logical and mathematical writings.
Metaphors get under your skin by ghosting right past the logical mind.
What is art?... From a strictly logical point of view, a question with no clear answer comes under the suspicion of being meaningless. But a strictly logical point of view never shows us much about art.
There is a big logical jump between acknowledging the destructive nature of hyperinflation and arguing that the lower the rate of inflation, the better.
There is, then, a logical priority about the arrangements, and logic has nothing to do with time.
Quotas are a perfectly logical, if diabolical, extension of the regulation of private property courtesy of the Civil Rights Act, whereby in an attempt to shape American society in politically pleasing ways, people have been coerced into liking, hiring or renting against their will or better judgment.
The opposition of instinct and reason is mainly illusory. Instinct, intuition, or insight is what first leads to the beliefs which subsequent reason confirms or confutes; but the confirmation, where it is possible, consists, in the last analysis, of agreement with other beliefs no less instinctive. Reason is a harmonizing, controlling force rather than a creative one. Even in the most purely logical realms, it is insight that first arrives at what is new.
Speculative Philosophy is the endeavour to frame a coherent, logical, necessary system of general ideas in terms of which every element of our experience can be interpreted. By this notion of 'interpretation' I mean that everything of which we are conscious, as enjoyed, perceived, willed, or thought, shall have the character of a particular instance of the general scheme.
Certainly it is permitted to anyone to put forward whatever hypotheses he wishes, and to develop the logical consequences contained in those hypotheses. But in order that this work merit the name of Geometry, it is necessary that these hypotheses or postulates express the result of the more simple and elementary observations of physical figures.
Whereas Absurdism in Europe seemed a logical, almost inevitable response to the irrationality of war, the analogous elements that surfaced in American drama seemed more a response to a materialist society run amok. The American-style Absurdism seemed to spring full-blown out of television advertisements and situation comedies, which had become new myth-making machines.
As long as human beings are imperfect, there will always be arguments for extending the power of government to deal with these imperfections. The only logical stopping place is totalitarianism -- unless we realize that tolerating imperfections is the price of freedom.
If what we are doing with our anger is not achieving the desired result, it would seem logical to try something different.
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