Laurence Goldstein

(1947 - 2014)

According to some commentators, Wittgenstein’s Tractatus is all one big joke: we plough through the text trying to extract the sense out of each spare and heroic proposition, only to be told at the end, that anyone who understands the author will realize that all of his propositions are nonsensical and so are not even propositions. The whole work is a kind of hoax; the readers are ridiculed, but, with luck, will eventually have to laugh when they come to recognize that what they had taken for deep philosophy was all so much gibberish. As a result of this revelation, they will be cured for ever of the urge to philosophize.

Letting is a common practice in mathematics. For example, we let x be the sum of the first n integers and, after a short proof, conclude that x = n(n+1)/2; we let J be the point where the bisectors of two of the angles of a triangle intersect and prove that this coincides with H, the point at which another pair of bisectors of the angles of that triangle intersect. Karl Weierstrass's colleagues, in an attempt to solve optimization problems, stipulated that the minimum area for a triangle with a given perimeter be a straight line segment conceived as a triangle with zero altitude. (Weierstrass complained that this obscured the insight that some problems have no solutions.) In mathematics applied to physics, we let x be the temperature in Fahrenheit corresponding to 30° Centigrade; we let v be the velocity of the Earth through the luminiferous ether. Before the error was spotted, the official rules for Little League Baseball made an inconsistent stipulation about the dimensions of home plate (Bradley 1996).

For familiar reasons, stereotyping is believed to be irresponsible and offensive. Yet the use of stereotypes in humor is widespread. Particularly offensive are thought to be sexual and racial stereotypes, yet it is just these that figure particularly prominently in jokes. In certain circumstances it is unquestionably wrong to make jokes that employ such stereotypes. Some writers have made the much stronger claim that in all circumstances it is wrong to find such jokes funny; in other words that people who laugh at such jokes betray sexist/racist attitudes. This conclusion seems false. There is, as I shall argue, a thin dividing line between being properly sensitive to the rights and feelings of women and of racial groups different from our own, and being excessively sensitive to oversensitivity. Oversensitivity is, in this context, a kind of intolerance, and there is no reason why we should pander to that. One can be opposed to the unchecked dissemination of certain kinds of racist or sexist humor without oneself being a racist or sexist for finding such humor funny. The use of various stereotypes in humor serves the linguistic purpose of facilitating brevity and punch, the cultural purpose of preserving, in a sanitized form traditional rivalries and antipathies, and the psychological purpose of discharging fears. Blanket moral condemnation is inappropriate, though there will, of course, be circumstances under which the promulgation of certain types of humor, or even its enjoyment, ought to be condemned

Brevity in conversation is a window to the workings of the mind. It is both a multifaceted topic of deep philosophical importance and a phenomenon that serves as a testing ground for theories in linguistics, psycholinguistics and computer modeling. Speakers use elliptical constructions and exploit salient features of the conversational environment, a process of pragmatic enrichment, so as to pack a great deal into a few words. They also tailor their words to theirparticular conversational partners. In Brevity, distinguished linguists, philosophers and cognitive scientists shed new light on economy in discourse. The book will appeal to linguists, philosophers, and psychologists at advanced undergraduate level and above.

According to some commentators, Wittgenstein’s Tractatus is all one big joke: we plough through the text trying to extract the sense out of each spare and heroic proposition, only to be told at the end, that anyone who understands the author will realize that all of his propositions are nonsensical and so are not even propositions. The whole work is a kind of hoax; the readers are ridiculed, but, with luck, will eventually have to laugh when they come to recognize that what they had taken for deep philosophy was all so much gibberish. As a result of this revelation, they will be cured for ever of the urge to philosophize.

Our interpretation of the "parmenides" 132a1 - 132b2 has the following features. (i) it stresses that the third man argument is an infinite regress and (ii) notes its epistemological thrust. (iii) a faithful translation of the last line of the argument reads "and no longer will each of the forms be for you one but each is infinite in multitude." parmenides' point is that each form, which socrates believed to be complete (one), turns out to be an unbounded, incompletable series of subforms useless for comprehending the unity of many particulars. (iv) related problems are seen to occupy plato in the "philebus" and in the "sophist"