„Mathematics is that form of intelligence in which we bring the objects of the phenomenal world under the control of the conception of quantity. [Provisional definition. ]“

—  George Holmes Howison, "The Departments of Mathematics, and their Mutual Relations," Journal of Speculative Philosophy, Vol. 5, p. 164. Reported in Moritz (1914)
George Holmes Howison photo
George Holmes Howison135
American philosopher 1834 - 1916

Citações relacionadas

James Joseph Sylvester photo
James Martin (author) photo

„From a very early age, we form concepts. Each concept is a particular idea or understanding we have about our world. These concepts allow us to make sense of and reason about the things in our world. These things to which our concepts apply are called objects.“

—  James Martin (author) British information technology consultant and writer 1933 - 2013
James Martin (1993, p. 17) as cited in: " CIS330 Object Oriented Approach Ch2 http://webcadnet.blogspot.nl/2011/04/cis330-object-oriented-approach-text_3598.html" webcadnet.blogspot.nl. 2011/04/16

Leonhard Euler photo
Werner Heisenberg photo
Benjamin Peirce photo

„Mathematics, under this definition, belongs to every enquiry, moral as well as physical.“

—  Benjamin Peirce American mathematician 1809 - 1880
Context: The sphere of mathematics is here extended, in accordance with the derivation of its name, to all demonstrative research, so as to include all knowledge strictly capable of dogmatic teaching. Mathematics is not the discoverer of laws, for it is not induction; neither is it the framer of theories, for it is not hypothesis; but it is the judge over both, and it is the arbiter to which each must refer its claims; and neither law can rule nor theory explain without the sanction of mathematics. It deduces from a law all its consequences, and develops them into the suitable form for comparison with observation, and thereby measures the strength of the argument from observation in favor of a proposed law or of a proposed form of application of a law. Mathematics, under this definition, belongs to every enquiry, moral as well as physical. Even the rules of logic, by which it is rigidly bound, could not be deduced without its aid. The laws of argument admit of simple statement, but they must be curiously transposed before they can be applied to the living speech and verified by, observation. § 1.

Hans Reichenbach photo
Johannes Kepler photo
George Holmes Howison photo
Varadaraja V. Raman photo
George Boole photo

„It is not of the essence of mathematics to be conversant with the ideas of number and quantity.“

—  George Boole English mathematician, philosopher and logician 1815 - 1864
p. 12; Cited in: Alexander Bain (1870) Logic, p. 191

John R. Commons photo
Umberto Boccioni photo

„.. if the objects will be mathematical values, the ambient in which they live will be a particular rhythm in the emotion which surrounds them. The graphic translation of this rhythm will be a state of form, a state of color, each of which will give back to the spectator the 'state of mind' which produced it..“

—  Umberto Boccioni Italian painter and sculptor 1882 - 1916
in a letter of 12 Feb. 1912 from Paris, to his friend Nino Barbantini (director of the Ca' Pesaro in Venice); as cited in: Shannon N. Pritchard, Gino Severini and the symbolist aesthetics of his futurist dance imagery, 1910-1915 https://getd.libs.uga.edu/pdfs/pritchard_shannon_n_200305_ma.pdf Diss. uga, 2003, p. 67

Walter A. Shewhart photo
James Jeans photo