I now propose briefly to... set forth, in a form intelligible to those who possess no special acquaintance with anatomical science, the chief facts upon which all conclusions respecting the nature and the extent of the bonds which connect man with the brute world must be based: I shall then indicate the one immediate conclusion which, in my judgment, is justified by those facts, and I shall finally discuss the bearing of that conclusion upon the hypotheses which have been entertained respecting the Origin of Man.
Thomas Henry HuxleyRelated topics
anatomical bearing chief connect form forth hypothesis judgment man nature now propose science set factsRelated quotes
Overcoming magic often takes the form of theology. From animals and ancestors the path leads to all kinds of spirits. The hypothesis (which already appeared in the magical age) of the little man alongside man, the "soul', and of the special being, 'God', more and more often seeks a parallel process 'behind' processes. Whereas in the magical age, empirically given facts were linked with each other on the basis of primitive theories without the introduction of uncontrollable elements, now their introduction becomes essential.
Otto Neurath
I shall now address you on the subject of the present situation in research in the foundations of mathematics. Since there remain open questions in this field, I am not in a position to paint a definitive picture of it for you. But it must be pointed out that the situation is not so critical as one could think from listening to those who speak of a foundational crisis. From certain points of view, this expression can be justified; but it could give rise to the opinion that mathematical science is shaken at its roots.
Paul Bernays
The functional validity of a working hypothesis is not a priori certain, because often it is initially based on intuition. However, logical deductions from such a hypothesis provide expectations (so called prognoses) as to the circumstances under which certain phenomena will appear in nature. Such a postulate or working hypothesis can then be substantiated by additional observations or by experiments especially arranged to test details. The value of the hypothesis is strengthened if the observed facts fit the expectation within the limits of permissible error.
Reinout Willem van Bemmelen
The Japanese army is now prepared to use every means within its power to subdue its opponents. The objectives of the Japanese Expeditionary Forces are, as clearly set forth in statements issued by the Japanese Government, not only to protect the vested interests of Japan and the lives and property of the Japanese residents in the affected area, but also to scourge the Chinese Government and army who have een pursuing anti-foreign and anti-Japanese policies in collaboration with Communist influences.
Iwane Matsui
The problem of distinguishing prime numbers from composite numbers and of resolving the latter into their prime factors is known to be one of the most important and useful in arithmetic. It has engaged the industry and wisdom of ancient and modern geometers to such an extent that it would be superfluous to discuss the problem at length. ... Further, the dignity of the science itself seems to require that every possible means be explored for the solution of a problem so elegant and so celebrated.
Carl Friedrich Gauss