How can it be that mathematics, being after all a product of human thought which is independent of experience, is so admirably appropriate to the objects of reality? Is human reason, then, without experience, merely by taking thought, able to fathom the properties of real things?
Albert Einstein
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The initial stage of that developing experience which is called thinking is experience. This remark may sound like a silly truism. It ought to be one; but unfortunately it is not. On the contrary, thinking is often regarded both in philosophic theory and in educational practice as something cut off from experience, and capable of being cultivated in isolation. In fact, the inherent limitations of experience are often urged as the sufficient ground for attention to thinking. Experience is then thought to be confined to the senses and appetites; to a mere material world, while thinking proceeds from a higher faculty (of reason), and is occupied with spiritual or at least literary things.
John Dewey
The branches of mathematics are as various as the sciences to which they belong, and each subject of physical enquiry has its appropriate mathematics. In every form of material manifestation, there is a corresponding form of human thought, so that the human mind is as wide in its range of thought as the physical universe in which it thinks.
Benjamin Peirce
Physics is to be regarded not so much as the study of something a priori given, but rather as the development of methods of ordering and surveying human experience. In this respect our task must be to account for such experience in a manner independent of individual subjective judgement and therefore objective in the sense that it can be unambiguously communicated in ordinary human language.
Niels Bohr
The contemporary mathematical and symbolic logic is certainly very different from its classical predecessor, but they share the radical opposition to dialectical logic. In terms of this opposition, the old and the new formal logic express the same mode of thought. it is purged from that “negative” which loomed so large at the origins of logic and of philosophic thought — the experience of the denying, deceptive, falsifying power of the established reality. And with the elimination of this experience, the conceptual effort to sustain the tension between “is” and “ought”, and to subvert the established universe of discourse in the name of its own truth is likewise eliminated from all thought which is to be objective, exact, and scientific. For the scientific subversion of the immediate experience which establishes the truth of science as against that of immediate experience does not develop the concepts which carry in themselves the protest and the refusal. The new scientific truth which they oppose to the accepted one does not contain in itself the judgment that condemns the established reality. ... In contrast, dialectical thought is and remains unscientific to the extent to which it is such judgment.
Herbert Marcuse
The supremacy of thought (consciousness) also pronounces the impotence of thought in an empirical world which philosophy transcends and corrects — in thought. The rationality in the name of which philosophy passed its judgments obtained that abstract and general purity” which made it immune against the world in which one had to live. With the exception of the materialistic “heretics,” philosophic thought was rarely afflicted by the afflictions of human existence. Paradoxically, it is precisely the critical intent in philosophic thought which leads to the idealistic purifications critical intent which aims at the empirical world as a whole, and not merely at certain modes of thinking or behaving within it. Defining its concepts in terms of potentialities which are of an essentially different order of thought and existence, the philosophic critique finds itself blocked by the reality from which it dissociates itself, and proceeds to construct a realm of Reason purged from empirical contingency. The two dimensions of thought — that of the essential and that of — the apparent truths — no longer interfere with each other, and their concrete dialectical relation becomes an abstract epistemological or ontological relation. The judgments passed on the given reality are replaced by propositions defining the general forms of thought, objects of thought, and relations between thought and its objects. The subject of thought becomes the pure and universal form of subjectivity, from which all particulars are removed.
Herbert Marcuse
Einstein, Albert
Eisenhower, Dwight D.
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