In theoretical science, the question is-What are we to think? and when a doubtful point arises, for the solution of which either experimental data are wanting, or mathematical methods are not sufficiently advanced, it is the duty of philosophic minds not to dispute about the probability of conflicting suppositions, but to labour for the advancement of experimental inquiry and of mathematics, and await patiently the time when they shall be adequate to solve the question.
William John Macquorn RankineRelated topics
advancement await datum duty experimental mathematics point probability question science wanting labourRelated quotes
Prior work has shown an association between diversification strategy and profitability. This paper replicates that association using more recent and complete data and goes on to investigate the sources of the association. Theoretical arguments are advanced which predict the association which will remain once the effects of varying industry profitability are removed. Empirical tests verify this prediction and permit the discrimination between the effects of industry and diversification strategy on profitability.
Richard Rumelt
The problem of thermonuclear reactions is not a usual physics problem. This is a problem that must transform society and the world. Our generation, which gave to mankind atomic energy and thermonuclear energy in the form of explosions, is responsible to humanity for solving the main problem of energy – obtaining energy from water. People are waiting for the solution of this problem. Our duty is to solve it within the lifetime of our generation, and therefore we must set out on this path.
Gersh Budker
What makes a piece of mathematical economics not only mathematics but also economics is, I believe, this: When we set up a system of theoretical relationships and use economic names for the otherwise purely theoretical variables involved, we have in mind some actual experiment, or some design of an experiment, which we could at least imagine arranging, in order to measure those quantities in real economic life that we think might obey the laws imposed on their theoretical namesakes.
Trygve Haavelmo
But oppression by your Mock-Superiors well shaken off, the grand problem yet remains to solve: That of finding government by your Real-Superiors! Alas, how shall we ever learn the solution of that, benighted, bewildered, sniffing, sneering, godforgetting unfortunates as we are? It is a work for centuries; to be taught us by tribulations, confusions, insurrections, obstructions; who knows if not by conflagration and despair! It is a lesson inclusive of all other lessons; the hardest of all lessons to learn.
Thomas Carlyle
Mathematics as an expression of the human mind reflects the active will, the contemplative reason, and the desire for aesthetic perfection. Its basic elements are logic and intuition, analysis and construction, generality and individuality. Though different traditions may emphasize different aspects, it is only the interplay of these antithetic forces and the struggle for their synthesis that constitute the life, usefulness, and supreme value of mathematical science.
Richard Courant