“The moment a person forms a theory, his imagination sees, in every object, only the traits which favor that theory.” (Thomas Jefferson, [letter to Charles Thompson] 1787)
"Man is always prey to his truths. Once he has admitted them, he cannot free himself from them." (Albert Camus, "The Myth of Sisyphus and Other Essays", 1942)
"Although we can never devise a pictorial representation which shall be both true to nature and intelligible to our minds, we may still be able to make partial aspects of the truth comprehensible through pictorial representations or parables. As the whole truth does not admit of intelligible representation, every such pictorial representation or parable must fail somewhere. The physicist of the last generation was continually making pictorial representations and parables, and also making the mistake of treating the half-truths of pictorial representations and parables as literal truths.” (James H Jeans, “Physics and Philosophy” 3rd Ed., 1943)
"Once we give serious consideration to the hypothesis of the unconscious, it follows that our view of the world can be but a provisional one; for if we effect so radical an alteration in the subject of perception and cognition as this dual focus implies, the result must be a world view very different from any known before." (Carl Gustav Jung, "The Structure And Dynamics Of The Psyche", 1960)
"Ideas that require people to reorganize their picture of the world provoke hostility." (James Gleick, "Chaos: Making a New Science" , 1987)
“Metaphysics in philosophy is, of course, supposed to characterize what is real - literally real. The irony is that such a conception of the real depends upon unconscious metaphors.” (George Lakoff, “Philosophy in the Flesh: The Embodied Mind and its Challenge to Western Thought”, 1999)
“Your mental models shape the way you see the world. They help you to quickly make sense of the noises that filter in from outside, but they can also limit your ability to see the true picture. [...] We eventually lose all awareness that these ‘models’ are in fact internal illusions. We accept them as external reality and act on them as if they were. If they are good models, in most circumstances they more than adequately permit the mind to handle external reality. But here a danger creeps in. When the world changes in important ways, we can find ourselves with a model that is completely irrelevant to the current situation. We find ourselves wearing our street clothes when we are thrown off the deck of a ship. What we need at that point is a wet suit and lifejacket.” (Colin Cook & Yoram R Wind, “The Power of Impossible Thinking: Transform the Business of Your Life and the Life of Your Business”, 2006)
“Our inner working models, therefore, function as interpretation schemes, on the basis of which we organize our experiences. But, such schemes also distort reality in the direction of our pattern of expectations. In short: such working models organize and screen our experiences. This means that such an inner working model organizes and colours our perception of things in such a way that it can be extremely stimulating but can also sometimes slow us down considerably.” (M H M de Wolf, “Freud and Mahler”, 2007)
“Thinking in models has enormous advantages for us as a species, in representing the unknowable world in a form in which we can locate ourselves and with which we can engage. But it also has disadvantages for us whether as natural scientists, psychoanalytic theorists, practising analysts, or simply as individuals. We can become in Wittgenstein’s phrase the fly in the ‘fly bottle’ of our own model, with its own language from which philosophy might have a part to play in rescuing us.” (Ronald Britton, “Between Mind and Brain: Models of the mind and models in the mind”, 2015)
Quotes and Resources Related to Mathematics, (Mathematical) Sciences and Mathematicians
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