In 1964 José Benardete invented the “New Zeno Paradox” about an infinity of gods trying to prevent a traveller from reaching his destination. In this paper it is argued, contra Priest and Yablo, that the paradox must be resolved by rejecting the possibility of actual infinity. Further, it is shown that this paradox has the same logical form as Yablo’s Paradox. It is suggested that constructivis...

This document is a record of my contribution to a panel discussion which took place on July 27, 2011 as part of the Infinity and Truth Workshop held at the Institute for Mathematical Sciences, National University of Singapore, July 25–29, 2011. In preparation for the panel discussion, Professor Woodin asked each panelist to formulate a yes/no question to be asked of a benevolent, omniscient mat...

cosmo-theological argument is one of the theological arguments for [proving] the existence of god, which has been mooted since long ago and has recently been recognized in the theo-philosophical tradition of the west and become famous as theological argument. while examining the viewpoints related to the appearance of the world, particularly the big bang theory, this article undertakes to analy...

The kalam cosmological argument has received a renewed attention in philosophical literature after several presentations and defenses of its versions offered by William Lane Craig. crux the debate about Craig?s priori arguments favor had mainly to do with analysis concept actual infinity implications for possibility that universe an infinite past. While point counter-intuitiveness existence suc...

The problems of squaring the circle or “quadrature” and trisection of an acute angle are supposed to be impossible to solve because the geometric constructibility, i.e. compass-and-straightedge construction, of irrational numbers like � is involved, and such numbers are not constructible. So, if these two problems were actually solved, it would imply that irrational numbers are geometrically co...

The infinite is one of the most intriguing, controversial, and elusive ideas in which the human mind has ever engaged. In mathematics, a particularly interesting form of infinity—actual infinity— has gained, over centuries, an extremely precise and rich meaning, to the point that it now lies at the very core of many fundamental fields such as calculus, fractal geometry, and set theory. In this ...