Cheryl: I have given you each a different ordinal number, possibly transfinite, but possibly finite. Who of you has the larger ordinal? Albert: I don’t know. Bernard: I don’t know, either.

Synthese, Vol. 192, No. 8, Special Section on HISTORY AND PHILOSOPHY OF INFINITY (August 2015), pp. 2437-2462 (26 pages) Transfinite recursion is an essential component of set theory. In this paper, ...

Transfinite Set Theory and Provability Logic Publication Trend The graph below shows the total number of publications each year in Transfinite Set Theory and Provability Logic.

THE steady-state cosmological theory of Bondi, Gold, and Hoyle implies that the number of atoms in the universe is infinite to an order equal to that of the power of the continuum. In contrast, I ...

Transfinite Progressions: A Second Look at Completeness, The Bulletin of Symbolic Logic, Vol. 10, No. 3 (Sep., 2004), pp. 367-389 ...

It’s enough to make your head hurt and then someThe Transfinite, as he calls it, is his first exhibit in the United States. [P ark Avenue Armory via Fast Company] Data Science ...