The attempt to construct a fundamental taxonomy of the sciences encounters great difficulties. For instance, logicians and mathematicians disagree among themselves about the objects of their respective research; there is no agreement on the relation of theoretical physics to empirical knowledge and to mathematics. The so-called social sciences are particularly difficult to classify. They have not been demarcated by systematic considerations. In Duhem and Poincarè, general considerations are not only exemplified, but the origins of the concepts and of the problems are traced right from the initial observation of facts if at all possible.
Otto NeurathRelated topics
agreement attempt construct difficulties fundamental general great initial instance knowledge mathematics possible research right taxonomy facts sciencesRelated quotes
Given my interest in the concept of time, it was only natural that my attention was focused on the second principle, as I felt from the start that it would introduce a new, unexpected element into the description of physical world evolution. No doubt it was the same impression illustrious physicists such as Boltzmann and Planck would have felt before me. A huge part of my scientific career would then be devoted to the elucidation of macroscopic as well as microscopic aspects of the second principle, in order to extend its validity to new situations, and to the other fundamental approaches of theoretical physics, such as classical and quantum dynamics.
Ilya Prigogine
Bobbio's theoretical defence of the distinction between Left and Right, for all its eloquence, may thus be more vulnerable than it appears. If we ask why this should be so, the answer surely lies in the difficulty of constructing an axiology of political values without coherent reference to the empirical social world. Bobbio often writes as if he could separate his ideal taxonomy from contemporary history, but of course he cannot. In practice he admits the political scenery of the present into his account selectively, for the purposes of his argument. But it is in that present that the deeper reasons and limits of his intervention lie.
Perry Anderson
By asserting the objectivity of the physical world, naturalism identifies the existence and the conditions of existence of the physical world with existence and the conditions of existence in general. It forgets that the world of the physicist necessarily refers back, through its intrinsic meaning, through the subjective world which one tries to exclude from reality as being pure appearance, conditioned by the empirical nature of man, which is incapable of reaching directly to a world of things in themselves. But while the world of the physicist claims to go beyond naive experience, his world really exists only in relation to naive experience.
Emmanuel Levinas
The design of the following treatise is to investigate the fundamental laws of those operations of the mind by which reasoning is performed; to give expression to them in the symbolical language of a Calculus, and upon this foundation to establish the science of Logic and construct its method; to make that method itself the basis of a general method for the application of the mathematical doctrine of Probabilities; and, finally, to collect from the various elements of truth brought to view in the course of these inquiries some probable intimations concerning the nature and constitution of the human mind.
George Boole
International law. Our country should also support efforts which are being made toward the codification of international law. We can look more hopefully, in the first instance, for research and studies that are likely to be productive of results, to a cooperation among representatives of the bar and members of international law institutes and societies, than to a conference of those who are technically representative of their respective governments, although, when projects have been developed, they must go to the governments for their approval. These expert professional studies are going on in certain quarters and should have our constant encouragement and approval.
Calvin Coolidge