That such comparisons with non-arithmetic notions have furnished the immediate occasion for the extension of the number-concept may, in a general way, be granted (though this was certainly not the case in the introduction of complex numbers); but this surely is no sufficient ground for introducing these foreign notions into arithmetic, the science of numbers.
Richard DedekindRelated topics
arithmetic case complex extension foreign general ground introduction numbers occasion science wayRelated quotes
I am fully assured, that no general method for the solution of questions in the theory of probabilities can be established which does not explicitly recognize, not only the special numerical bases of the science, but also those universal laws of thought which are the basis of all reasoning, and which, whatever they may be as to their essence, are at least mathematical as to their form.
George Boole
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
The foremost, or indeed the sole condition which is required in order to succeed in centralizing the supreme power in a democratic community, is to love equality, or to get men to believe you love it. Thus the science of despotism, which was once so complex, is simplified, and reduced as it were to a single principle.
Alexis de Tocqueville
Regardless of its purpose, the humpback-whale song is the most complex piece of nonhuman composition on earth. Whether it's art, prayer, or booty call, the humpback song is an amazing thing to experience firsthand, and I suspect that even once the science of it is put to bed, it will remain, as long as they sing, magic.
Christopher Moore (author)
Is it not remarkable that the common repute which we all give to attorneys in the general is exactly opposite to that which every man gives to his own attorney in particular? Whom does anybody trust so implicitly as he trusts his own attorney? And yet is it not the case that the body of attorneys is supposed to be the most roguish body in existence?
Anthony Trollope
