Comparison Quotes - page 11
There is also a considerable tendency to define the subject as a kind of meeting place of science and art. This is exemplified by Eckert. He pleads for artistic imagination and intuition in cartographic portrayal and claims that the inter-action of such talents with scientific geography produces the aesthetic map. There is no question about the importance of imagination and new ideas, but it is equally important that significant processes be objectively investigated, whether it be the visual consumption of a graphic technique or a process in geomorphology. It can perhaps best be approached by a comparison of the aims, techniques involved, and the results accomplished by each activity.
Arthur H. Robinson
I should be writing a third paper on the Nerves, but I cannot proceed without making some experiments, which are so unpleasant to make that I defer them. You may think me silly, but I cannot perfectly convince myself that I am authorised in nature, or religion, to do these cruelties-for what?-for anything else than a little egotism or self-aggrandisement; and yet, what are my experiments in comparison with those which are daily done? and are done daily for nothing. So my employment is, correcting the press of my new edition of the Anatomy, and writing notes for my Physiology, which I mean to make an additional volume to the Anatomy.
Charles Bell
The recent flourishing of New Classical economics, and especially its Equilibrium Business Cycle Theory (EBCT), has given a fresh hearing to the Old-but still developing-Austrian Business Cycle Theory (ABCT). While the New and the Old differ radically in both substance and methods, they exhibit a certain formal congruency that has captured the attention of both schools. The formal similarities between EBCT and ABCT invites a point-by-point comparison, but the comparison itself dramatizes differences between the two views in a way that adds to the integrity and plausibility of the Austrian theory.
Roger Garrison
Many facts have lately transpired which tend to overthrow the hypothesis that heat is itself a body, and to prove that it consists in a motion of the ultimate particles of bodies. If this be so, the general principles of mechanics may be applied to heat; this motion may be converted into work, the loss of vis viva in each particular case being proportional to the quantity of work produced.
These circumstances, of which Carnot was also well aware, and the importance of which he expressly admitted, pressingly demand a comparison between heat and work, to be undertaken with reference to the divergent assumption that the production of work is not only due to an alteration in the distribution of heat, but to an actual consumption thereof; and inversely, that by the expenditure of work, heat may be produced.
Rudolf Clausius
The imagination works by a principle of sympathy with the suppressed and subversive elements in experience. It sees the residues, memories, and reports of past or faraway social worlds and neglected or obscure perceptions as the main stuff with which we remake our contexts. It explains the operation of a social order by representing what the remaking of this order would require. It generalizes our ideas by tracing a penumbra of remembered or intimated possibility around present or past settlements, and it then subhjects this enlarged sense of possibility to the tests of further comparison and practice. By all these means it undermines the identification of the actual with the possible.
Roberto Mangabeira Unger
The above comparison of the domain R of rational numbers with a straight line has led to the recognition of the existence of gaps, of a certain incompleteness or discontinuity of the former, while we ascribe to the straight line completeness, absence of gaps, or continuity. In what then does this continuity consist? Everything must depend on the answer to this question, and only through it shall we obtain a scientific basis for the investigation of all continuous domains.
Richard Dedekind
Definite portions of a manifoldness, distinguished by a mark or by a boundary, are called Quanta. Their comparison with regard to quantity is accomplished in the case of discrete magnitudes by counting, in the case of continuous magnitudes by measuring. Measure consists in the superposition of the magnitudes to be compared; it therefore requires a means of using one magnitude as the standard for another. In the absence of this, two magnitudes can only be compared when one is a part of the other; in which case also we can only determine the more or less and not the how much. The researches which can in this case be instituted about them form a general division of the science of magnitude in which magnitudes are regarded not as existing independently of position and not as expressible in terms of a unit, but as regions in a manifoldness.
Bernhard Riemann
Most studies employing three-dimensional objects as stimuli have used simultaneous presentation whereas most studies employing two-dimensional objects have used comparison of a single visual stimulus with a memory presentation. We suspect that it is this procedural difference rather than the difference in dimensionality that is the principal determiner of rate of mental rotation.
Roger Shepard
Ever since language allowed human cultural evolution to impinge upon age-old processes of biological evolution, humankind has been in a position to upset older balances of nature in quite the same fashion as disease upsets the natural balance within a host's body. Time and again, a temporary approach to stabilization of new relationships occurred as natural limits to the ravages of humankind upon other life forms manifested themselves. Yet, sooner or later, and always within a span of time that remained miniscule in comparison with the standards of biological evolution, humanity discovered new techniques allowing fresh exploitation of hitherto inaccessible forms of life.
William H. McNeill
It is only through contact and comparison that the relative value or worthlessness of the various cultural elements can be clearly and critically seen and understood. What is sacred among one people may be ridiculous in another; and what is despised or rejected by one cultural group, may in a sdifferent environment become the cornerstone for a great edifice of strange grandeur and beauty.
Hu Shih
