For want of the apparatus of propositional functions, many logicians have been driven to the conclusion that there are unreal objects. It is argued, e.g., by Meinong, that we can speak about "the golden mountain," "the round square," and so on; we can make true propositions of which these are the subjects; hence they must have some kind of logical being, since otherwise the propositions in which they occur would be meaningless. In such theories, it seems to me, there is a failure of that feeling for reality which ought to be preserved even in the most abstract studies. Logic, I should maintain, must no more admit a unicorn than zoology can; for logic is concerned with the real world just as truly as zoology, though with its more abstract and general features.
Bertrand RussellRelated topics
abstract apparatus drive failure general golden kind mountain ought real round should speak square zoologyRelated quotes
A pure Democracy, by which I mean a Society consisting of a small number of citizens, who assemble and administer the Government in person, can admit of no cure for the mischiefs of faction. A common passion or interest will, in almost every case, be felt by a majority of the whole; a communication and concert result from the form of Government itself; and there is nothing to check the inducements to sacrifice the weaker party, or an obnoxious individual. Hence it is, that such Democracies have ever been spectacles of turbulence and contention; have ever been found incompatible with personal security, or the rights of property; and have in general been as short in their lives, as they have been violent in their deaths.
James Madison
[Imlac continues] "It was never supposed that cogitation is inherent in matter, or that every particle is a thinking being. Yet, if any part of matter be devoid of thought, what part can we suppose to think? Matter can differ from matter only in form, density, bulk, motion, and direction of motion: to which of these, however varied or combined, can consciousness be annexed? To be round or square, to be solid or fluid, to be great or little, to be moved slowly or swiftly one way or another, are modes of material existence, all equally alien from the nature of cogitation. If matter be once without thought, it can only be made to think by some new modification, but all the modifications which it can admit are equally unconnected with cogitative powers."
Samuel Johnson
The members of the Vienna Circle (Moritz Schlick, Rudolf Carnap, Philipp Frank, Hans Hahn, Herbert Feigl, Fritz Waismann, Kurt Godel, Otto Neurath and others) are working out a ‘Logical Empiricism'. Following Ernst Mach and Poincaré, but above all Russell and Wittgenstein, all the sciences are treated uniformly. Carnap's Logischer Aufbau der Welt (1928) shows in which direction future systematic work will move. Wittgenstein's Tractatus Logico-Philosophicus (1921) clarified, among other things, the position of logic and mathematics; besides the statements that make additions to what is meaningful, there are the ‘tautologies' that show us which transformations are possible within language. By its syntax the language of science excludes anything that is meaningless from the very beginning.
Otto Neurath
The natural philosophy of Democritus and some others, who did not suppose a mind or reason in the frame of things, but attributed the form thereof able to maintain itself to infinite essays or proofs of nature, which they term fortune, seemeth to me... in particularities of physical causes more real and better inquired than that of Aristotle and Plato; whereof both intermingled final causes, the one as a part of theology, and the other as a part of logic, which were the favourite studies respectively of both those persons. Not because those final causes are not true, and worthy to be inquired, being kept within their own province; but because their excursions into the limits of physical causes hath bred a vastness and solitude in that tract.
Francis Bacon
"I exist" does not follow from "there is a thought now." The fact that a thought occurs at a given moment does not entail that any other thought has occurred at any other moment, still less that there has occurred a series of thoughts sufficient to constitute a single self. As Hume conclusively showed, no one event intrinsically points to any other. We infer the existence of events which we are not actually observing, with the help of general principle. But these principles must be obtained inductively. By mere deduction from what is immediately given we cannot advance a single step beyond. And, consequently, any attempt to base a deductive system on propositions which describe what is immediately given is bound to be a failure.
Alfred Jules Ayer