The question: 'is the Euclidean geometry true?' has no significance for Poincaré, for these is no such thing as one geometry being more true than another.
Fulton J. SheenGaston Milhaud, like many of his contemporaries, sought to overthrow empirical positivism by insisting on the fundamental reality of the mind, but mind conceived in the Kantian sense. The knowledge of nature is symbolic, and there is no necessary connection between the phenomena and our fictions.
Fulton J. SheenThe sciences need philosophy; philosophy, in turn, needs the sciences. On both sides, certain naive minds, too confident in their own forces and satisfied with ideas entirely too superficial, believed in the universal value of a single method. On both side a severe critique must lead each method back to its just limits, and teach them to ask aid of the other methods and manners of approach which, by their convergence, will permit the mind to embrace the diverse aspects of reality
Fulton J. SheenStichwörter: science philosophy
Physical experience is the translation of phenomena into symbolic language, and the law is the creation of the wind or a symbol.
Fulton J. SheenThese are but a few specimens of philosophy which is no longer conscious of its own intrinsic worth, and which sees no higher mission in life for itself than applying the categories of the material to the spiritual, of the physical to the mental, and the spatio-temporal to the eternal.
Fulton J. SheenFacts themselves do not give knowledge
Fulton J. SheenEven in the realm of pure mathematics, the mathematician may use any set of symbols he desires within any given region of space-time; he may even go so far as to maintain that any one set of symbols fits the scheme as well as any other, but to erect this method into a philosophy and confuse independence of any one special meaning with independence of all meaning is unjustified and unwarranted.
Fulton J. SheenThe conclusion is that the physical theory and the mathematical theory of science are valid methods but not valid philosophies. Facts need interpretation the physical theory forgets that it has no such principles of interpretation with its own bosom.
Fulton J. SheenThis is what Aristotle meant when he said that the object of science is the necessary and the universal; man and not this man.
Fulton J. SheenStichwörter: aristotle
The assumption that numbers and mathematical or logical laws are mental is due to the even more widespread notion that only particular sensible entities exist in nature, and that relations abstractions, or universals cannot have any such objective existence - hence they are given a shadowy existence in the mind.
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