Intuition Quotes - page 9
Spinoza is the clear and luminous side of Modern philosophy. He is the negation of bourgeois mediation and of all the logical, metaphysical, and juridical fictions that organize its expansion. He is the attempt to determine the continuity of the revolutionary project of humanism. With Spinoza, philosophy succeeds for the first time in negating itself as a science of mediation. In Spinoza there is the sense of a great anticipation of the future centuries; there is the intuition of such a radical truth of future philosophy that it not only keeps him from being flattened onto seventeenth-century thought but also, it often seems, denies any confrontation, any comparison. Really, none of his contemporaries understands him or refutes him.
Baruch Spinoza
[O]ur purpose is to give a presentation of geometry... in its visual, intuitive aspects. With the aid of visual imagination we can illuminate the manifold facts and problems... beyond this, it is possible... to depict the geometric outline of the methods of investigation and proof, without... entering into the details... In this manner, geometry being as many-faceted as it is and being related to the most diverse branches of mathematics, we may even obtain a summarizing survey of mathematics as a whole, and a valid idea of the variety of problems and the wealth of ideas it contains. Thus a presentation of geometry in large brushstrokes... and based on the approach through visual intuition, should contribute to a more just appreciation of mathematics by a wider range of people than just the specialists.
David Hilbert
In mathematics, as in any scientific research, we find two tendencies... [T]he tendency toward abstraction seeks to crystallize the logical relations inherent in the maze of material in a systematic and orderly manner. On the other hand, the tendency toward intuitive understanding fosters a more immediate grasp of the objects... a live rapport with them... which stresses the concrete meaning of their relations. ...[I]ntuitive understanding plays a major role in geometry. ...[S]uch concrete intuition is of great value not only for the research worker, but... for anyone who wishes to study and appreciate the results of research in geometry.
David Hilbert
Creativity is not limited to people practising one of the traditional forms of art, and even in the case of artists, creativity is not confined to the exercise of their art. Each one of us has a creative potential, which is hidden by competitiveness and success-aggression. To recognize, explore and develop this potential is the task of the School. Creation – whether it be a painting, sculpture, symphony or novel – involves not merely talent, intuition, powers of imagination and application, but also the ability to shape material that could be expanded to other socially relevant spheres.
Heinrich Böll
In a country where feeling for art is not one of the national characteristics, it is particularly difficult to arrive at a common understanding of the term "art". There are many obstacles in the way, and some of them are imposed by the mere existence of such a body as the Royal Academy, for lacking any intuition in this matter of art, the majority of people turn to that institution for guidance, and naturally assume that any work receiving its blessing must be a work of art in the strict meaning of the word, and consequently the artistic quality of a painting is, in the popular estimation, measured in ratio to its degree of photographic realism.
James Bolivar Manson
In France at least, the history of science and thought gives pride of place sciences, sciences of the necessary, all close to philosophy: one can observe in their history the almost uninterrupted emergence of truth and pure reason. The other disciplines, however - those, for example, that concern living beings, languages, or economic facts - are considered too tinged with empirical thought, too exposed to the vagaries of chance or imagery to age old traditions and external events, for it to be supposed that their history could be anything other irregular. At most, they are expected to provide evidence of a state of mind, an intellectual fashion, a mixture of archaism and bold conjecture, of intuition and blindness. But what if empirical knowledge, at a given time and in a given culture, did possess a well defined regularity.
Michel Foucault
