In early 1974, I was visiting the Watson Research Center and I got the idea of calling GSdel on the phone. I picked up the phone and called and GSdel answered the phone. I said, "Professor GSdel, I 'm fascinated by your incompleteness theorem. I have a new proof based on the Berry paradox that I 'd like to tell you about." GSdel said, "It doesn't mat ter which paradox you use." He had used a pa...

The Twin Paradox is one of the most well known and debated paradoxes associated with Relativity theory. Opponents challenge Relativity theory on the grounds that the Twin Paradox reveals an underlying flaw in the theory. Such opponents feel that the existence of a paradox, in and of itself, is sufficient to disqualify the theory. Supporters explain the paradox by introducing the concept of acce...

Philosophers have studied paradoxes for millennia. The term paradox is appearing increasingly outside of philosophy, and researchers seek to understand them in common situations. By understanding these phenomena, systems engineers may develop better strategies to deal with them when encountered in business or projects. However, what is meant by the term systems paradox and are there different t...

In this paper we analyse some of the classical paradoxes in Social Choice Theory (namely, the Condorcet paradox, the discursive dilemma, the Ostrogorski paradox and the multiple election paradox) using a general framework for the study of aggregation problems called binary aggregation with integrity constraints. We provide a definition of paradox that is general enough to account for the four c...

We generalize Braess’s paradoxical example by defining a Braess Paradox to occur when the Wardrop equilibrium distribution of traffic flows is not strongly Pareto optimal. We characterize a Braess Paradox in terms of the solution to a mathematical program. Examples illustrate unexpected properties of these solutions. We discuss a computational approach to detecting a Braess Paradox. Keywords— M...

1 Introduction ✤ Just as there is the Russell paradox about sets, so there is the Russell-Myhill paradox of propositions. ✤ While predicativity has been well-explored as a response to the Russell paradox of sets, there seems to have been no previous attempt to set out a predicative solution to the Russell-Myhill paradox of propositions. ✤ The aim of this talk is to do that, within the framework...

To counter a general belief that all the paradoxes stem from a kind of circularity (or involve some self–reference, or use a diagonal argument) Stephen Yablo designed a paradox in 1993 that seemingly avoided self–reference. We turn Yablo’s paradox, the most challenging paradox in the recent years, into a genuine mathematical theorem in Linear Temporal Logic (LTL). Indeed, Yablo’s paradox comes ...

objective: this study assessed the effect of paradox in family therapy.paradox, as a therapeutic tool, has been developed by a number of therapists,especially mara selvini palazzoli. metho d: this study benefited from the milan systems approach to family. two clients (both females) were selected for this study. these two girls were the symptomatic members of their families. the families partici...

% correct per task (conclusion: If A, then B) P60 P70 P90 Pvl Pac MP90 MP70 MP80 MPvl MPac Paradox 1 62.50 81.25 68.75 68.75 68.75 62.50 87.50 81.25 75.00 93.75 Paradox 2 73.33 73.33 73.33 80.00 66.67 73.33 73.33 86.67 80.00 93.33 % correct per task (conclusion: If A, then not B) Paradox 1 75.00 68.75 62.50 75.00 43.75 81.25 87.50 87.50 68.75 87.50 Paradox 2 86.67 86.67 86.67 66.67 66.67 80.00 ...