A Quote by Jean Piaget
Logical positivists have never taken psychology into account in their epistemology, but they affirm that logical beings and mathematical beings are nothing but linguistic structures.
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If we were logical, the future would be bleak, indeed. But we are more than logical. We are human beings, and we have faith, and we have hope, and we can work.
If you let your mind talk you out of things that aren't logical, you're going to have a very boring life. Because grace isn't logical. Love isn't logical. Miracles aren't logical.
Even logical positivists are capable of love.
[Kepler] had to realize clearly that logical-mathematical theoretizing, no matter how lucid, could not guarantee truth by itself; that the most beautiful logical theory means nothing in natural science without comparison with the exactest experience. Without this philosophic attitude, his work would not have been possible.
As soon as a thought or word becomes a tool, one can dispense with actually 'thinking' it, that is, with going through the logical acts involved in verbal formulation of it. As has been pointed out, often and correctly, the advantage of mathematics - the model of all neo-positivistic thinking - lies in just this 'intellectual economy.' Complicated logical operations are carried out without actual performance of the intellectual acts upon which the mathematical and logical symbols are based. ... Reason ... becomes a fetish, a magic entity that is accepted rather than intellectually experienced.
(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.
We know that mathematicians care no more for logic than logicians for mathematics. The two eyes of science are mathematics and logic; the mathematical set puts out the logical eye, the logical set puts out the mathematical eye; each believing that it sees better with one eye than with two. Note that De Morgan, himself, only had sight with only one eye.
Mathematics is a logical method. . . . Mathematical propositions express no thoughts. In life it is never a mathematical proposition which we need, but we use mathematical propositions only in order to infer from propositions which do not belong to mathematics to others which equally do not belong to mathematics.
My advice is not always so logical and consistent. But then, love is not logical and consistent. So why should my advice be? If you want that kind of thinking, go to a computer. Computers are always logical and consistent, and you see how often they get proposed to.
Logical activity is not the whole of intelligence. One can be intelligent without being particularly logical.
It is always easy to be logical. It is almost impossible to be logical to the bitter end.
What distinguishes a mathematical model from, say, a poem, a song, a portrait or any other kind of "model," is that the mathematical model is an image or picture of reality painted with logical symbols instead of with words, sounds or watercolors.
I don't doubt that the explanation for consciousness will arise from the mercilessly scientific account of psychology and neuroscience, but, still, isn't it neat that the universe is such that it gave rise to conscious beings like you and me?
It's easy to tell the evolutionary level of a group of beings, or an individual being, simply by examining their behavior, their art, their psychology, their thought forms, their lingual structures, their history, their present moment, their future ideas, and the quality of their emotions.
To feel the anguish of waiting for the next moment and of taking part in the complex current (of affairs) not knowing that we are headed toward ourselves, through millions of stone beings - of bird beings - of star beings - of microbe beings - of fountain beings toward ourselves.
The purpose of concept art as a genre is to unbrainwash our mathematical and logical faculties.
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