I cannot see why it is necessary that every deduction from algebra should be bound to certain conventions incident to an earlier stage of mathematical learning, even supposing them to have been consistently used up to the point in question. I should not care if any one thought this treatise unalgebraical, but should only ask whether the premises were admissible and the conclusions logical.
Augustus De MorganRelated topics
algebra ask bound care certain deduction early incident learning necessary point premises question see should stage supposing thought treatiseRelated quotes
In every science, after having analysed the ideas, expressing the more complicated by means of the more simple, one finds a certain number that cannot be reduced among them, and that one can define no further. These are the primitive ideas of the science; it is necessary to acquire them through experience, or through induction; it is impossible to explain them by deduction.
Giuseppe Peano
Before my encounter with Thomist philosophy through Maritain, I had almost reached the same conclusions through the logical development of my work, intuition and thought, but what a great sense of joy I felt upon discovering, in Maritain, the confirmation of certain thought patterns, certain ways of clarifying these to myself and to others.
Gino Severini
A writer is a person who cares what words mean, what they say, how they say it. Writers know words are their way towards truth and freedom, and so they use them with care, with thought, with fear, with delight. By using words well they strengthen their souls. Story-tellers and poets spend their lives learning that skill and art of using words well. And their words make the souls of their readers stronger, brighter, deeper.
Ursula K. Le Guin
I used to say that, as Solicitor General, I made three arguments in every case. First came the one I had planned – as I thought, logical, coherent, complete. Second was the one actually presented – interrupted, incoherent, disjointed, disappointing. The third was the utterly devastating argument that I thought of after going to bed that night...
Robert H. Jackson
In the Gospels, for instance, we sometimes find the kingdom of heaven illustrated by principles drawn from observation of this world rather than from an ideal conception of justice; ... They remind us that the God we are seeking is present and active, that he is the living God; they are doubtless necessary if we are to keep religion from passing into a mere idealism and God into the vanishing point of our thought and endeavour.
George Santayana
