Zermelo set theory plus the assertion that every set belongs to an ordinal rank which is a set implies Foundation, the existence of expected ordinal ranks, and the existence of transitive closures, and can be interpreted in Zermelo set theory without additional assumptions.
If their grandparents' Judaism was about religion, learning and community, theirs meant something else: being a nation that had lost a third of its people but gained a homeland.Right from its foundation, the existence of Israel created new questions for world Jewry.
For most of the foundation's existence, its leadership has been dominated by loyal veterans of the Clintons' political lives.
In his enjoyable and instructive account, Humphrey, an emeritus professor of psychology at the London School of Economics, looks at consciousness in evolutionary terms to explain how the "magical interiority of human minds" creates the foundation for existence.
Many Newtown residents were likely unaware of the foundation's existence until Adam Lanza shot his way through the school 14 December 2012, killing 20 first-graders and six educators before committing suicide.
There should be some foundation in existence, even if it's only slight.
After this column revealed the foundation's existence last November, [See NYPD Confidential Nov. 7, 2011], the website ThinkProgress reported that five right-wing leaning, pro-Israeli foundations had funded it.
This issue is of special relevance to NGOs in which the grassroots is a vital foundation of existence.
In the strange world of public relations, the very foundations of existence are broadcast schedules, timed interviews and orchestrated announcements.
There is no "point particle" -- no tiny pieces of "stuff" forming the foundations of existence.
