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"Logic and mathematics are nothing but specialised linguistic structures."
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"Many people have said to me that I'm a mystic. I find that a bit mysterious. I just use logic and common sense for my philosophies."
"Logic, n. The art of thinking and reasoning in strict accordance with the limitations and incapacities of the human misunderstanding. The basic of logic is the syllogism, consisting of a major and a minor premise and a conclusion - thus:Major Premise: Sixty men can do a piece of work sixty times as quickly as one man.Minor Premise: One man can dig a post-hole in sixty seconds; Therefore-Conclusion: Sixty men can dig a post-hole in one second.This may be called syllogism arithmetical, in which, by combining logic and mathematics, we obtain a double certainty and are twice blessed."
"There is no logic in logics except an illogical logic."
"Rationality and common sense never goes out of fashion."
"Don't you believe in flying saucers, they ask me? Don't you believe in telepathy? - in ancient astronauts? - in the Bermuda triangle? - in life after death?No, I reply. No, no, no, no, and again no.One person recently, goaded into desperation by the litany of unrelieved negation, burst out "Don't you believe in anything?"Yes", I said. "I believe in evidence. I believe in observation, measurement, and reasoning, confirmed by independent observers. I'll believe anything, no matter how wild and ridiculous, if there is evidence for it. The wilder and more ridiculous something is, however, the firmer and more solid the evidence will have to be."
"Apriority creates ambiguities among ideas."
"But twice-two-makes-four is for all that a most insupportable thing. Twice-two-makes-four is, in my humble opinion, nothing but a piece of impudence. Twice-two-makes-four is a farcical, dressed-up fellow who stands across your path with arms akimbo and spits at you."
Explore more quotes by Jean Piaget
"To express the same idea in still another way, I think that human knowledge is essentially active."
"The first type of abstraction from objects I shall refer to as simple abstraction, but the second type I shall call reflective abstraction, using this term in a double sense."
"During the earliest stages the child perceives things like a solipsist who is unaware of himself as subject and is familiar only with his own actions."
"On the one hand, there are individual actions such as throwing, pushing, touching, rubbing. It is these individual actions that give rise most of the time to abstraction from objects."
"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."
"The self thus becomes aware of itself, at least in its practical action, and discovers itself as a cause among other causes and as an object subject to the same laws as other objects."
"Scientific knowledge is in perpetual evolution; it finds itself changed from one day to the next."
"Reflective abstraction, however, is based not on individual actions but on coordinated actions."
"From this time on, the universe is built up into an aggregate of permanent objects connected by causal relations that are independent of the subject and are placed in objective space and time."
"The principle goal of education in the schools should be creating men and women who are capable of doing new things, not simply repeating what other generations have done."
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